going to start, okay. All right, so we've just started the recording of this lecture. We're going to pray and get started. So let me just request P plus still coming in. Okay, let me request Anita go occur. Anita go occur. Can you please pray and we will get started. Thank you. Thank you for this amazing morning father. As we come before you father, we'd like to pray for the knowledge with them and the sense that we're giving a father thanks for everything that we are giving a father. We'd like to give this class into your hand father. You're going to bless us. We're going to give a pass point in your hand father. You're going to talk to us through your hand father. And as we're learning identity and kind of father, you're going to help us to remove our identity in Christ father and help each and every one those who are connected from the different part father. I'd like to give everyone into your hand father. You're going to bless us. You're going to help us. And you're going to teach us father. Thank you for everything that we did in our flight father. Thank you for everything father. We worship you and glorify your holy name father. In Jesus name we pray Amen. Amen, amen. Thank you. All right, good morning everyone. Welcome once again to the class. We are studying primarily the New Testament looking at this revelation on our identity in Christ. So just to quickly review a few things. We said that this is a revelation. The Lord Jesus spoke and said, you will receive, you will know in that day, you will know that I'm in the Father and you are in me. So he said, there's a time coming after his ascension that this revelation will be given. And he did speak a little bit about it. He's talked about the wine and the branch and so on. But then after his ascension, one of the key people to whom this revelation was given was the apostle Paul who wrote two thirds of the New Testament. So when we study the epistles, we find the apostle Paul using this phrase in Christ Jesus or in Christ, in him many, many, many times through his episodes. And so we are just studying that through and trying to understand what God has done for us in Christ. And slowly we're unpacking, we're discovering little by little. This is who God has made us to be because the Bible simply says, you're a new creation in Christ. And so we're saying, what does it mean? I'm a new creation. What does it mean? And so we want to understand our identity. We also want to understand our inhabitants because when God has brought us into Christ, he has just poured out upon our lives riches, the riches of his inheritance, the glorious riches of his inheritance. So we are trying to understand our identity, our inheritance. And then of course, most important is we want to learn how to live out of that practically while we are going through our life of faith. How do we live out of our identity and our inheritance? Well, that's our journey. We spent one lesson on understanding the new creation. Then we talked about understanding the fact that we have been justified and made righteous, which we finished last week. As a believer, you are justified. To be justified means to be just. That means without any blame. God has made you and me justified through the redemption that is in Christ Jesus. He has made us righteous, right in his eyes and a right standing with him. Therefore, anytime you and I go to pray and talk to God, we can pray before him without any sense of guilt, shame, or condemnation. And when the enemies, the enemy's main tactic is to make us feel condemned, make us feel guilty, make us feel worthless. So he comes with those accusations. He is the accuser of the brethren. So he comes with accusations. You're no good, you're useless, whatever, these kinds of thoughts. But when we know our identity in Christ, we can just discard those thoughts. Don't believe him. Don't even receive those thoughts. Because as God has said in his word, he has made me righteous. He has justified me.  That's how we worship God. So we looked at that. Today we will move forward into the next PDF, which is lesson number four, the fourth PDF. But we talk about sanctified and made holy. So the word sanctified, and so I will let me share the PDF so we could follow along. This is available to you in the classwork section already. We'll just share it here. Okay, so sanctified, made holy. Now, just a little background here. Because in the New Testament, especially if you look at the New King James, you will find the word sanctify. You'll find the word holy. You'll also find the word sanctification. You'll also find the word holiness. So I don't want us to get thrown off by these words. They all actually come from the same Greek word. Just that in the English Bible in different places, sometimes the translators translated as sanctify. Sometimes they translate as holy. Sometimes they may translate as sanctification. Sometimes it sounds as holiness, but it's the same Greek word or words. You know, some are adjectives and some are verbs anyway. So the point is they mean the same thing. So as we look at the scriptures and when you read sanctify holy or sanctification holiness, in your mind just say, hey, it's the same thing. Don't get confused. It's just the same thing. What does it mean? It simply means that you have been consecrated or dedicated to God. You have been separated, separated and set apart, dedicated to God. Dedicated, consecrated to God. So what God has done for us in Christ is, he says, I've set you apart for myself. I have sanctified you. I've hallowed you. I have consecrated you. I've dedicated you for myself. And we're going to look at scriptures. And so what we find is that God has already done this for us and he's already sanctified us.   He's given it. But then he says, I've done this for you spiritually.  So that's what we are going to discover. Like we said in the very beginning, God completes the work for us.  So spiritually, he's done it for us. He completes the work. Then he says, in your everyday life on earth, live out of that, that is your identity.   So live like that. So when you and I face the filth of this world, meaning the sin and the corruption and the moral decadence in the world, we just have to remind ourselves who we really are. Hey, I am a sanctified person. So do I want to go and make myself dirty with all of that? No, God has sanctified me for himself. So I refuse the filth. I refuse the sin. I refuse the corruption, the moral degradation. I refuse it because I realize I'm already holy. I'll just think about this, right? I mean, this is just an analogy.   You're going to avoid those kinds of things. Why? Because you realize what's, what you're carrying. It's the normal response. I mean, this isn't the natural. Now that's how it is also in the spiritual, just that we don't think about it. But hopefully once we do this, this lesson on sanctification, we will understand that this is who you are. And therefore you just say, hey, I'm a holy person. I don't need those things. And you shun those things. Okay. So, so the first thing in this journey is to understand that Christ is our sanctification. Could somebody please read these two scriptures for us first Corinthians one verse 30 and also Ephesians one and verse four. Could somebody read that for us please? First Corinthians chapter one verse 30 but of him you are in Christ Jesus who became for us wisdom from God and righteousness and sanctification and redemption. Ephesians chapter one verse four just ask Jesus, Jesus in him before the foundation of the word that we should be holy and without leave before him in love. Amen. Thank you. So look at these scriptures. But of him that is because of God. You are in Christ Jesus. So that's what we are studying. You are in Christ Jesus. So we affirm I am in Christ Jesus. Okay. And what about being in Christ? Who became for us? Christ became for us. What is done from God and righteousness. So righteousness. We've studied that in the previous lesson. Christ is our righteousness. We are justified and sanctification. So you can translate this word holiness. So Christ became for us our holiness, our sanctification or you can understand it like this. When God brought us into Christ because we are in Christ. Christ said from this moment, I'm sanctifying you. I'm making you holy. I'm setting you apart for myself. I'm consecrating you. I'm dedicating you for myself. Christ is our sanctification. Christ is our holiness. Christ on me makes me set apart for God. Christ to me consecrates me to God. I am in him and therefore Christ has set me apart for himself. So the moment you came into Christ, Christ said, here you are set apart for God. You're in me from this moment on. You're dedicated. You're sanctified. You're holy. So the moment you came into Christ, that moment you were set apart for God. You're made holy to God. Same thing in Ephesians 1.4. He says he chose us in him. That's what we are studying, being in Christ. He chose us in him before the foundation of the world. That we should be holy is the same word. That we should be sanctified or holy. So he chose us in him so that we should be holy. We should be consecrated, dedicated, set apart people.   So just to help us understand the difference between righteousness and holiness, righteousness means there is no blame. Holiness means there is no sin. Righteousness means you're blameless. There's no act of sin. Righteousness, there is no condemnation against you. Holiness, there is no sin in you. So God is saying you are a holiness to him. You've been separated from sin unto God. And God is righteous. God is holy. And he is of a holiness. That's the only reason we're able to stand in his presence. So we continue in this thought of just understanding that God has sanctified us in Christ. We look at a couple of more scriptures. Somebody could read for us. 1 Corinthians chapter 1 verse 2. And then somebody could also read 1 Corinthians chapter 6 verses 9 through 11, please. 1 Corinthians. Chapter 1 verse 2. To the church of God, which is at Corinth, to those who are sanctified in Christ Jesus, called to be saints, with all who in every place call on the name of Jesus Christ our Lord, both theirs and ours. And somebody else, please, for Corinthians 6 verses 9 through 11, please. 1 Corinthians 6, 9 to 11. Do you not know that the unrighteous will not inherit the kingdom of God?  And such were some of you. But you were washed. But you were sanctified. But you were justified in the name of the Lord Jesus and by the spirit of our Lord, by the spirit of our God. Thank you. All right. Look at these scriptures again. 1 Corinthians 1 verse 3 says, To the church of God, to those who are sanctified in Christ Jesus, called to be saints. So again, sanctified saints. Come from the same Greek word. Haggios. Haggios simply means sanctify. Haggios. And Haggioi, the saints, same root word. So he's saying, we believers are sanctified in Christ Jesus.  And this is your calling. This is our calling. Your call to be saints. Or saints simply means sanctified ones. So they're the same word, root word. So saints simply means you're a sanctified one.    So he's saying, believers, whom is he talking to? And all who call on the name of Jesus Christ. So it's all of us. So every believer is a holy person. As is a consecrated person in Christ Jesus. So God has done it for us. And the same thing. In 1 Corinthians 6, 9 through 11, he says, look, he lists all kinds of sinful life, living. And he says, such were some of you. In other words, this was the background for some people. But now, what's happened? You've been washed. You were sanctified. So it's already happened. You were sanctified. You were living like this, but God said, I'm taking you out of all of that. In the name of our Lord Jesus Christ, the mother spirit of our God. So as a believer, you need to know, regardless of what your past was, regardless of what our past was today, and the moment we gave our faith in Christ, we were sanctified. He's done it for us. We're sanctified in Christ Jesus. Right? So what I want us to understand is this. For the believer, sanctification or holiness is something we start out from in a Christian life and not something we attain through a Christian life. Okay. Think about this with me. Think about this with me. The Bible is saying you are sanctified in Christ Jesus. The Bible is saying you are a saint. The Bible is saying you were sanctified. That means God has finished the work in Christ. You talk about in Christ. Now, everyday life, of course, we're being sanctified, but I'm talking about in Christ Jesus. In Christ. So what you and I must understand that we are starting from this place. We begin our Christian life as people who have been sanctified. He has already done it. We are not trying to become that. We are that. Christ is our sanctification. Right? And so in daily life, we live out of our state of being sanctified by the power of the word of God and the spirit of God. That means I know I'm sanctified. So I'm going to live like that in everyday life by the word of God and by the Holy Spirit helping me. Right? So I'm living out of holiness. I'm not striving for, I'm living out of holiness. I'm not striving for holiness. That I want us to understand very clearly because this is so important for living a holy life. You see, most of the time we hear people say be holy, be holy. Don't do this. Don't do that. Be holy. And we are thinking, how do I do it? How can I be holy? God has started off like this. God has made you holy. You are holy. Therefore, you're going to be holy. Therefore, be holy. And this is all the scriptures teach us. If you look at Florence II Corinthians 7.1, it says, you know, he talks about the fact that, you know, God has set us apart for himself. And then he says, therefore, having these promises, we cleanse ourselves. That means because we have this, we're keeping ourselves clean inside and outside. We are keeping ourselves clean. And here we are walking in this holiness, in the fear of God. Why we do it? Because we have these promises. Because God has done it for us. We are walking this way. So, this is so important. The moment an unclean thought comes into your mind, you reject it. You don't even entertain it. Why?   I don't need to entertain those thoughts in my mind. If somebody comes and presents something unholy to you, say, no, no, no. This is not for me. I am a holy person. This is not for me. Right? Because I am created in righteousness and true holiness. That's the visions to 4 verse 24. You're inner person. Your new creation is created in true holiness. Right? So, what I want to help us understand at this moment, and I just pause here, is that you are a holy person. You are sanctified. And therefore, you live from that place of being sanctified. Is it clear so far? Any questions? There's a lot more. But I just want to pause, make sure we are all together so far. I haven't lost anybody. Yes? Okay. Go ahead with the question, please. Thank you, Basta. My question was regarding, is it like it is done in the past? I'm sanctified and I live out of it. And I'm being sanctified. It is a continual process. Is it a two-part? Is it like that? Yes. So, there are two sides to this. On the spiritual side, the work is done because you are in Christ. That is your spiritual position. You're in Christ. This is your inheritance. This is what God has given you. He says, I've made you a saint. Practical side. That is daily life. We are being sanctified. That means on a daily basis, I'm putting the filthiness. I'm cleansing myself for all filthiness. Just putting it all away. Putting it all away so that my practical daily life conforms to my spiritual identity in Christ. That what God has done for me in Christ. But I must remember that's who I am in the Spirit. Spiritually, God has sanctified you. Spiritually, God has made you holy for Himself. So that is the motivation to live holy on a daily basis. Because you are holy. He has set you apart. He has consecrated you for Himself in Christ. Okay, okay. Thank you. Thank you, Beth. Good. Any other questions? Anything else? Okay. So we're going to go forward. Feel free to... I'll pause from time to time just to see if there are any questions. Let's go back to where we were. All right. So building on this, it's like we said, which this 1st Corinthians 1 of verse 2, we are called to be saints, saints. So as I mentioned here, the word saints are simply, it's the same Greek word, hagi oi, which means we are sanctified ones, holy ones in Christ. Right. So in many of Paul's episodes, he addresses believers as saints. So every believer is a saint. Every believer is a sanctified person or a holy person. And you can see in so many of the opening of many of his episodes, he calls believers, he says Romans, he calls them. He says, you're called to be saints, over and over again. He says, Ephesians, he says, you are the saints, Philippians greet every saint. So every believer is a saint to Colossians. He says, over and over again, you find in Paul's episodes, when he looks at believers, he sees them as holy people. He says, you are saints.    So he sees believers as saints of God. Right. So every believer is a holy person, a dedicated person. Right.  The calling of a believer is a holy calling.  So not only are we individually holy, but the Bible says collectively, that means as a community, we are holy. So I will just look at some scriptures here on that. Ephesians 2, 21 and 22. Could somebody read that for us, please? Ephesians 2, 21 to 22. 21, in whom the whole building being fitted together grows into a holy temple in the Lord. Number 22, in whom you also are being built together for a dwelling place of God in the spirit. Thank you. So he's telling believers. Now he's speaking to collectively, believers collectively.  So brick on, brick by brick, this whole building is being assembled and it's coming up. But what is this building about? It is actually a holy temple in the Lord. Meaning it is, if you say a holy temple, simply means a sacred place, a consecrated building, a dedicated building. Now why is it a holy temple? Why is the community of believers? So we're not talking about a physical building. He's talking about believers together, collectively. We are a holy people. Why? Because we are being built together for a dwelling place of God in the spirit. That means this community of believers is actually God's dwelling place. God is dwelling here. And obviously where God is, it's a holy place because God is absolutely holy. So this place where God is dwelling is a holy place. It's a temple. It's a dwelling place of God. So we must also remember this. Not only are we individually holy, but as a community, as a believers, as a group of believers, wherever, you know, local churches, every local church, every community of believers, we are the dwelling place of God.  And you find this repeated, of course, in many places in scripture. You know, 1 Corinthians 3, 16 and 17, the Apostle of Thumb says, don't you know that you are the temple of God and God's spirit is in you? So don't defile the temple of God. So, you know, we respect that the community must be kept holy. So it says, because the temple of God is holy. This temple of God is referring to, of course, not only individually am I a temple of God, but collectively we are the temple of God. So both individually and collectively, we want to keep things holy, keep things consecrated, keep it free from, you know, any filthiness and so on. But you start off with this understanding that we are the temple of God. We are the dwelling place of God. We are sanctified. We are holy people. But now, like we mentioned a little while back, there is the practical side to it. So spiritually, this is what God has done for us in Christ. We are holy, we are sanctified. But in everyday life, we understand that we are being sanctified. That means little by little, progressively, the things that are not pleasing to God are being taken out of our lives. We are letting them go, we are getting rid of them from our lives. So that is the process of being sanctified, of being made holy, living holy lives on a daily basis. So let's read this. This is from Hebrews chapter 10. We are reading selected verses, verses 9 and 10, verses 14 and 29. Could somebody read that please for us? Then he said, Behold, I have come to do your will of God. He takes away the first that he may establish the second. By that will, we have been sanctified through the offering of the body of Jesus Christ once for all. By one offering, he has perfected forever those who are being sanctified. How much worse punishment do you suppose? Will he be thought worthy who has trampled the Son of God under foot, counted the blood of the covenant by which he was sanctified a common thing and insulted the spirit of grace? So we just picked up different verses here from chapter 10 of Hebrews. But I want you to see something very interesting. So first he says in verse 10, that basically when Jesus came, he established the covenant. And by that covenant, he says, we have been sanctified through the offering of the body of Christ. That means through what Jesus did on the cross, through the covenant he established, we have been sanctified. We've been set apart for God. God is saying, oh, I've set you apart for me. But later on in the same chapter he says, those of us, you know, he has already perfected us forever. He has perfected forever. He's completed the work. Yet we are being sanctified. So on the one hand, we have been sanctified and we have been perfected through what Christ did for us on the cross. But then in everyday life, we are being sanctified. It's an ongoing thing. It's happening now, right? And, you know, he later on in the chapter, he talks about people who have discounted the blood of the covenant by which they have were sanctified. That means they turned away from it. They walked away from it. So he's addressing them. But notice it's the blood of the covenant by which we were sanctified. So what I want to understand is we have been sanctified, but we are being sanctified. So this is in Christ spiritually. This has happened practically. We are being sanctified day to day on a daily basis. Right? So through what Christ did for us through his death, he has presented us wholly sanctified. Then it's through the cross of Jesus. The work has been done. He's made us holy. He's consecrated us to God. Now we are living out of that in everyday life. So how do we do this? How do we live out of this? So we are going to depend on the word of God. I'll skip that verse here. He sanctifies us by the word of God, by the washing of the word. So how does the Lord sanctify us? It's an ongoing thing. So it's talking about the church. The Christ is sanctifying, cleansing her with a washing of water by the word. So currently what is Jesus doing to the church? He is cleansing her. He is sanctifying her by the word of God. So in practice, how can we keep our lives clean? How can we keep our lives wholly set apart for God? Practically. It happens by the word and the spirit. By the word and the spirit. So the word of God is the cleansing agent that washes the filth and brings into bear the holiness of God over our being. So this is very important. The word of God. How can you and I walk in holiness? Number one, the word of God. That as we open our lives to the word of God, what happens? It brings into us the cleansing. It exerts the power of God's holiness over our being and causing the filthiness, meaning anything that is sinful, anything that's displeasing to God to be washed out of our lives. So that's why we constantly expose ourselves to the word by reading the word, by listening to the word, being preached or taught. We constantly let the word of God flow into us because as the word comes into us, it keeps cleansing us and keeps exerting holiness into our lives. The second important aspect we must understand practically is the Holy Spirit. The Holy Spirit is referred to as the spirit of holiness. Of course, that's why it's called the Holy Spirit. He's a spirit of holiness. That means wherever he is, he brings the influence of the holiness of God. Wherever he is, the holiness of God is. He is the Holy Spirit. So as we yield ourselves to him, he imparts to us that grace to live holy lives, to get rid of sin in our lives. Let's have a look at more of this in a future section. I'm just giving us the scriptures here. So how do we live this out in everyday life? How do we live sanctified in Christ? We know we are sanctified in Christ. How do we live sanctified in Christ? What are the instructions the scriptures give us? I'm just going to present some. Let's look at the practical side of things. First, we must hold ourselves in a holiness and honor. We're going to look at this passage. Could somebody read this for us? 1 Thessalonians chapter 4 verses 1 through 7, please. 1 Thessalonians chapter 4 verse 1 to 7. Finally, then, brethren, we urge and exhort in the Lord Jesus that you should abound more and more just as you recede from us how you are to walk and to please God. For you know what commandments we gave you through the Lord Jesus. For this is the will of God, your sanctification, that you should abstain from sexual immorality, that each of you should know how to possess his own vessel in sanctification and honor, not in passion of lust like the Gentiles, who do not know God, that no one should take advantage of and defraud his brother in this matter because the Lord is the Avenger of all such, as we also forewarned you and testified. For God did not call us to uncleanness but in holiness. Amen. So, he's writing to the believers. Paul is writing to the believers in Thessalonica. He says, I want to remind you how you're supposed to live, in a way that's pleasing to God. And I want to remind you of the commandments, the instructions we gave you through Jesus. And then he says, this is God's will for you. What is God's will for you? Your sanctification. Your living holy. And part of living holy life is abstaining from sexual immorality. And each one, each one of us should know how to possess, that is, how to hold our own vessel. So, he's looking at the body as a vessel. So, each one of us should know how to possess our own vessel, this body, in holiness. That word, sanctification, means holiness. That means you hold your body in holiness and honor in a way that's honorable of God or pleasing to God. So, he says, see, this is God's will for you. What is it? That you're holiness, that you should be holy. Stay away from all immorality and hold your own vessel in holiness and honor for God.  So, don't follow their example. They don't know God. They don't know better. They're living like that. And don't take advantage and, you know, pull any other brother into sin, right? So, it's not only about yourself, but also don't have a negative influence on other, another brother, another person in the Lord, right? Don't do that. Don't be a reason to cause another brother to go into holiness. God is watching and God himself will avenge that. Verse 7, remember, God did not call us doing cleanest, but in holiness, in holiness. So, what is the instruction he's giving us? Firstly, he says, see, you are sanctified in Christ.  And don't give in to the lustful passions like the people who don't know God. And help other, your brothers, help them also to live holy.  You help others to be holy, because God has called all of us, he's about to call all of us to holiness.  So, I'm going to keep this holy and in honor before God. So, like I said in the beginning, when sin is presented to us, whatever way, maybe some friends invite us, come, let's go do something wrong. No, sorry. Why? Because I want to possess this vessel, this body in holiness and honor. Sometimes you're being tempted by various things. Say no to that temptation. Why? I have to possess my vessel in holiness and honor. Because I am holy, God has called us to be holy. So, that's the first thing. I'm taking charge of my vessel. You take charge of your vessel and say, this vessel is going to be holy, it's going to be kept holy, it's going to be kept in honor before God. Okay, then we must walk in love to walk in holiness. Okay, let's pause here. We will take a break and we will come back and read these two scriptures because we'll take some time to explain that. Walk in love to walk in holiness. Okay, any questions so far?  Very simple. Quickly, everybody's with me so far. Okay, all right. Okay, great. Thank you. All right, so let's take a quick break. We'll take a quick 10 minute break. We'll come back. We were talking about the practical side of living holy. So, we will go through that. So, I'll see you all in 10 minutes and just take a quick break and we'll be back. Thank you.


Hey guys today, I wanted to do something a bit more special. I wanted to try a podcast style Just for the fun of it and to see how it goes The podcast is gonna talk about my life experience and a lot of tips that are taken directly From the products I'm offering. I'm gonna talk about how to actually build your funnel How to get traffic to your funnel? How to increase the sales pretty much everything that I usually Talk about but with the added like spin of How I like to do it how I like to phrase it because again, I put a huge emphasis on Lifestyle and on basically enjoying the path and doing it just as fast as possible and as simple as Possible so other than that. I've been getting kind of acclimated back to Israel Definitely First time I came back and I was like this is less good than Then Europe usually I'm like I'm in Europe. It's nice go back to Israel. It's also cool But this time something was different.  I have to go for a long long time. So I'll be going to Thailand By the end of next month. I guess I want to see how it goes with the passive income things since right now, I've basically made this you could take sort of an Kind of an oath to myself To not Coach people because that's such an easy way for me to make, you know, a couple of thousand dollars Just per person so I want to rely on passive income to live there and I just started like a two three weeks ago to promote promote my products and I expect that by the end of This I mean next month and like 30 days or so. I'd already be able to live completely passively Like live actively but make money passively From the products. So definitely I'll take you on this journey just like I love to and Do a podcast So welcome to the first official podcast First of all, let me Apologize if the sound quality is not up to par because this is going to be kind of a long podcast I'll have to review everything later check out the equipment see if it's good enough and So if it's not good just bear with me I'm talking to you here from Israel As stated at the beginning of the video Not really liking it as much as I used to so Probably be off to Thailand in about a month or so now the cool thing about Thailand Which I've talked about previously in my videos is that you can actually live in Thailand for around 10 1000 maybe 1200 dollars Quite easily actually and in a fairly high Kind of you know, not of course not luxury or something, but very very nice Living situation So you could book a hotel a for a cheap force cheap for style hotel with breakfast and everything around this season and get it all for Around thousand dollars You know, even if you make some Some small sacrifices here and there you can even drop the price down to 700 600 dollars a month For basically a hotel room in a nice place But without breakfast, I guess so Why am I saying this? Why am I telling you about you know, Thailand and living off 800 dollars and all that shit well, the reason I'm saying it is because Again as I've said in the beginning of the video, I'm basically I have made a decision a commitment to myself to stop with the easy shit, which is closing basically the big clients anywhere between two thousand to five thousand dollars per client Because the problem of that is that I'm a very moody person so I have Not moody like You know like you would picture like Angry and stuff, but moody as in I have periods where I just don't want to work Like a couple of months where I just I don't want to work. I just want to be you know I just want to relax, you know, I could make a video or two or Something like that, but I just don't want to fucking, you know hustle And the problem is that the way I've handled myself financially in the past Was because I made so much money So fast and so easily It was always this line of thinking of well more is just gonna come soon So I can do whatever the fuck I want and that was true Until it wasn't and then I was like oh shit like I'm You know I need cash because I've rented a really expensive place or I've made a big investment that's gone bad and I would be in a kind of a situation where I don't want to work So it would just be a lot of pain a lot of pain so the decision I made was to do it the proper way and Actually build a proper sales funnel Where I don't just get the coaching clients when I want But I also have a big mailing list people that buy my products so people Can buy, you know a future course. I'll make for around a thousand dollars people are currently buying my $37 book and It's really nice. It's really nice waking up in the morning and seeing notifications From PayPal like this person sent you $37 this person sent you $37 now again. It's not much It's not fancy But you know if you get like two sales a day Which again, I'm aiming to get by the end of next month You're at around $2,000 Correct. Sorry if my math is off, but you're at around $2,000 Which basically means you can live in Thailand in a four-star hotel a good four-star hotel and a couple like a thousand almost a thousand dollars to spare passively Which really makes all the difference for me because then you can decide to not work and make that money and really be peaceful and just happy or you can say let's take it step further and See how much I can actually pull out of this and And that's really I think is one of the key Insights you could say that I've missed Over the last couple of years where I was always about the quick money But I never thought about recurring revenue. I Was always, you know, just give me money as much as possible right now So I always thought that recurring revenue is like for pussies or something. I thought it's like like some sort of Employee mentality was like, you know, I just I just want to see my paycheck. I just want to know I get the paycheck and It's really not like that at all So what do you actually have to do to achieve that kind of results? What do you actually have to do to create a situation where you are getting these almost passive sales Coming into your bank account every day or every week well the short answer is Read my goddamn book. It's free and I talk about it profoundly step-by-step but just to give you kind of the longer version and What you do is you have to set up some sort of a sales funnel and this is something that I had a lot of problems with because You have so much baggage coming into this thing, you know the whole money thing and business thing and selling thing that You have so many misconceptions and so many falsehoods and myths injected onto you that It's so hard to just start out like The process of I've went through personally on a business level was that of simplification. I believe I know now less than what I ever did and I'm always amazed how simpler it could get In terms of what you need to focus on to see results You know, so I when I was just starting out The very idea of selling was fucking scary. Like I had no idea how to actually make money online So I attacked selling first and I thought was this big ginormous scary thing and Nowadays I can literally sum it up by Give the person so much value in the call that he wants to buy That's pretty much it. Of course, it has to be the right person. But but yeah, it's pretty much that simple So I found out later that it was actually the same with business in of itself so it's literally the three-step concept of bait and The bait basically attracts the person and then you reel them in and then you close them So it's actually exactly the same Kind of thing like imagine somebody who sells olives on the street What he does he offers people. Hey want to taste an olive? Sure. Why not? It's free. You taste the olive and now you're in the web and basically that person is now, okay, I Can see that you like them. How many how many would you like to order now because you like them? You're probably gonna get them. So how did he do it?   Why can't somebody just buy a book for $40 and I'll make it easy for him I'll make like a cool sales funnel Or I bait him into it again if you want to see how I do it go to my website and leave your details You'll see what happens Why not do that and then once I have that why not Email the people that did not buy and tell them like hey, man, you did not buy I I'll give you a discount. Maybe you should buy now and then get some people like that and Sorry for the noise and then add some more bait by Then offering something more expensive like hey A course or something for two hundred ninety seven dollars And again baiting them into it. So because it's a bigger thing The bait needs to be bigger. So it's not enough to just say like hey, this is something for two hundred ninety seven buy it You actually have to like for example get them to sit down for when for a full hour, maybe and watch like a Really value-packed video that also demonstrates what they're gonna get This is giving them value again. You're not trying to convince them to buy you're simply giving them more and more and more value Even by saying like This many people bought it or I'm closing tomorrow This also gives you them value simply by making them feel more special for getting it so it's actually a form of giving value not taking and You know when you have that kind of funnel set up you basically make cash day in day out and The cool thing about the internet to which I talk about profusely is the fact that everything You do Grows not linearly, but exponentially so Whatever growth rate you have today if you just keep it up it's gonna curve up and That's really the key to scaling. So yes, you can reach a couple thousand dollars relatively quick But the hundred thousand of dollars that takes a couple of years But you can get there just the same if you just stick through it and again what helps you stick through it having residual Income that comes in every time passive income Now what you need to learn again is the process of the sales funnel It's to understand the psychology of sales funnel how it works how people actually go from Visiting a website to actually buying whatever it is you're selling and There's such a huge Kind of a mental wall between making sales online and Kind of the reality of it and actually believing it's possible. So Most of you are if you haven't made a sale yet You're probably so scared of it or so Kind of don't believe it you can't really see how would someone pay for something online and To be honest a lot of it is actually your fault People who don't believe That other people actually sell things buy things online Are usually people that never bought anything themselves so What I've at least noticed in clients is that The more you believe that people don't pay online for shit The more you don't pay for shit now other than that in my book I detail to the extreme the five steps to creating a business that generates over You know thousand thousand dollar plus sales Within just a couple of weeks, maybe a month or two and The way I go about it there is a first step. I teach you how to create a high-ticket item a product that sells for over a thousand dollars and Why it's actually easier to sell that kind of product and sell something really cheap The second chapter I talk about how to find the actual client You know who your clients aren't how to actually find them and the third one is where I talk about the actual sales funnel how to build it how to calculate Everything you could think of from the math of it to the art of it and And then on the fourth chapter how to automate things and then finally I talk about the biggest mistakes That I personally made and you get this all for free. So I highly recommend you download the book and Please let me know in the comments what you think of this podcast style and Any questions you have feel free to ask me here or via the Facebook group Private Facebook group that I have Thanks for watching and I'll see you soon


YouTube what is up realistic gaming here and today we're on plankton's plan now before we go ahead and begin this game I saw the gameplay trailer you got spongebob shooting guns, and then we got him fighting like this giant evil mr. Crabs robot it looks freaking awesome and besides that the graphics don't even get me started It looks like a freaking movie not even the game, so let's go ahead and begin this and This is made by the guy that did make a spongebob's massacre Okay made by triple dev there you go that is the man Okay warning this video game contains a ten scenes and graphic material including jump scares flashing lights and unsettling images you have been warned okay oh We're in the chumbagin Holy Crabs that is one giant crab mr. Plankton Due to the size of a Booger Then I'm telling you look at these graphics.  Crabs and make history not the evil mr. Crabs oh Wait, okay, so we're actually oh, okay, so we're actually supposed to press a button Oh, man, this is this is hard This is a hard decision because if I pick the wrong one in there I'll go scrap But I don't know which one could be the right one since there's five of them I'm gonna go ahead with this one screw it what happens happens Just press it with his face not that one.  I don't want to hear it.  Is it even true that you got your degree?  Crabs a better looking man. Oh plankton. Don't do it Bro, it's the mr.  All right. Well That was intense. Oh Look at that. Oh, they got roaches at the crusty crab.  Okay, find a secret crabby patty for that has to be and mr. Crabs office obviously, uh-huh Okay, now we got a crack this you got a crack this safe And you got to do a little twist and turn you see and we good man the crabby patty secret formula buns meat cheese and Huh, did I just read that right some of that good stuff? Okay, man All right, whatever man. Okay. Let's go ahead and prepare this crabby patty for a squidward Grab the meat from the fridge. Okay, grab it Put it on the meat pat. I mean on the pan Bro, I was about to serve a crabby patty with raw meat. I am insane man Oh, look at the juices and everything in that thing. They're gonna be kind of hungry ain't gonna lie Okay, that looks like it's cooked. Okay place it on the buns place the cheese on the buns Harvest some of the good stuff and place it on the cheese. Okay. That's to be in here Hey, yo, okay. Oh, okay, so you like mr. Crabs might have been chief in a little too much and Now he is passed out on the in the coma on the floor All right. Oh, yeah. Oh, yeah, that is that says nothing but us of a America right there. Okay? Let's go make the best crabby patty ever. Oh Man get delivered to the burger to the customer All right, somebody ordered one special crabby patty if you know what I mean Hey, get it get it get it right.  It looks a little freaky freak got a big old forehead. All right. Here you go, man. You so much You're welcome. Oh, oh What is going on at the jump bucket? Holy cow. Okay, that thing just blew up into pieces Dude, what okay? So that might that might have been actually when the that has to be the Giant evil mr.  Why are you crying, huh? Okay, I grab the oil see a hanging right here. I'm afraid that's not yours sir, I think this is mine and oh My god, I just did that. I mean I did not do that. What do you what are you talking about man? Dude, that was crazy Okay, so out to the chumbuck. Here we go.  Dude Why do you look at that? Oh?  He already lost a gun. Oh button. Oh Okay, don't this door. Oh I did see a rope. Okay, so we need the rope for the vent Alright, let's go see let's try to escape this place If that's even our goal Oh, there you go. Okay seems like we need a ladder to get up there. Um ladder ladder ladder. Oh, there you are All right, let's go into the vent Into the vent we shall you look at that a conveniently placed rifle. Oh, wow. What a cool developer So there's magically just an ar rifle in the vents, huh? Just happily happens to come All right. Well, that's what I'm talking about Okay, wait, it's all dark in here Okay into the darkness we shall go Oh, no, I don't like the sound of that. Oh my god. Okay.  What? Oh my god, we just got attacked by these Robots That was crazy, bro. Like they don't even give you a heads up.  That was a mr.  Just blasted through the window and he's gone Okay, uh, we got to keep an eye out for that. I guess You got a giant mr. Robotic Krabs on the loose. Okay chumbucket employee Sheldon J. Plankton owner date of birth 11 30 1942 That dude was born in the stone age, bro. Okay Sheldon Thanks for the ID man Okay. Oh ammo Oh, yeah, I need some health, uh H for health nice Oh now we got some juice.   Where is this elevator taking me? But no, we're fading Okay, oh nice some more ammo and some more health Oh wait, is this the Is this where mr. Krabs Got attacked by the freaking mr. I mean plankton got attacked by mr. Krabs. I think it is Oh, no, this is not good Karen's not even up there anymore And Oh, no, it's a giant mr. Robot Krabs Okay. Oh, I'm gonna throw this at him. Hey catch mr. Krabs Nice How do you like that mr. Krabs? Okay, what if I put two barrels? Oh What are you doing?  Please don't do that again That was not very cash money of you mr. Krabs Okay, oh watch out with the laser eyes Okay, we okay these barrels do a lot of damage. So we gotta Okay, I need to actually Get my health up.   This is not cool, man Health health health I need the ammo No, no Oh my god, I'm about to die Okay. Oh, okay dodge it. Oh, dang bro that that hurts dude You need to chill out man. Okay catch Okay, why is he not shooting? Okay, I need to reload bro. Come on, man Okay, he's still alive.    Holy cow.  You see me You see me. I see you. We see each other Rescue me, man. Okay. What just happened? Then we passed out Wait the end What no way that's the end That's too good to be the end. Oh Oh, okay, so it seems like this might not be the end of the end Because we can clearly Here mr. Krabs attacking them. I assume that's mr. Krabs unless he made like another robot A version of someone else Dude, that was awesome. What I mean other than the fact that the robots coming at you attacking you Custing at you like homeless like hobos The game was awesome, man the graphics the gameplay everything It was well put together shout out to triple dev for the awesome game And just a little disappointed it was short, but I mean it was cool overall Well, I'll link the game down below in the description if you guys want to check it out for yourselves And yeah, thank you all for watching if you're new around here Make sure to subscribe hit that notification bell on hit Smash the like button if you haven't and yeah, thank you all for watching and I'll see you guys in the next one


Hi I'm Brenda Nantesa working with IOM in North East Nigeria as protection officer. In our emergency activities we try to look at protection and GBV rates. For instance observational audits to try to identify what are the concerns and also look at how best we can address them. We also provide guidance on the design of site plan and also layout of wash facilities. We do all day through capacity building and also mainstreaming within our various interventions. In addition I support the teams to ensure community engagement in awareness raising including women, men, girls and boys. And during our sessions we look at the human rights and also try to highlight social norms that might predispose women and girls to change their best values.


Hey everyone it's MJ and welcome to this video on regression. Now I'm very excited about regression because we're going to see that this is one of the most powerful subjects in the world and I want this video to be the video on the internet when it comes to regression so we are going to explain everything. So because it's going to be a long video we might as well give a nice introduction on why this is so awesome. What we know from statistics is that the purpose of statistics is that we want to take data and we want to turn it into information. We've also looked at something called hypothesis testing and we see that that's where we make some presumptions and we then go and look for some data to provide evidence and for a lot of us this is this is statistics to us this is the subject we use this in science to make observations and to progress with research and all of those type of things but there is another part of stats or another extension of it and that is something known as regression and regression is so powerful because it allows us to take information and find knowledge and this is very much a game changer what we're going to see is many jobs pay big money for people who have the skill what you can do with regression it's going to help you to optimize and it's going to help you to make predictions so you can almost make the best decision and see what the future is going to hold and both of these things are critical when it comes to achieving our goals so like I said this is a powerful subject I think it's very important that the theory is out there so what I'm going to be doing in this video is I'm going to be focusing on the ideas behind regression I want you guys to understand what the subject is all about what that means and because like I said this video is going to be long on its own I am going to be skipping a lot of the maths so I will give you hints and I will be using maths but the actual proofs and all these other things I'm rather going to just leave out so we can rather focus on the ideas behind it and also because computers today are doing all of the maths for us what I will be doing is relying a little bit on statistical knowledge and I am assuming that you guys by watching this video you have got some sort of background in stats if not I do have that whole teachable account which these videos will also be on so if you want the videos in a more condensed format that's where you can find them on teachable and links going to be in the description below but this is going to also contain all the previous videos on stats that you need as your background theory to understand what we are going to be doing in this regression fully explained is we are going to be looking at nine parts so this video is going to be divided into nine parts part number one we're going to be looking at something called correlation part two we are going to be looking at sample correlation if we look at part number three we're going to get stuck into the actual linear regression model make sure you don't just skip ahead to that because I mean you do need to understand what correlation is before you can get to that and part four we are going to measure the goodness of fit and this is going to be one of the few things that we do to check how good the model actually is part five we're going to be looking more at this thing known as the slope parameter which is given by the symbol of beta number six is where things do get a lot of fun we're going to be looking at how to make predictions and especially looking at the mean response and the individual response variable part seven it's going to be another test to see how good our model is we are going to be analyzing the residuals so residual analysis will be part seven part eight is where maths does get a little bit insane and it's where you do need to be a little bit of a genius behind this stuff but yeah we're going to be just having a very brief introduction to what is transformation and then of course this is where computers come in at part nine where we start looking at multiple linear regression and what we're going to see is that the stuff can get insane it can be very complicated and you can build an entire career from this stuff but what we're going to be doing in this video or in these these nine parts is just giving you the foundation so that after you've got this you can then go on and do weird and wonderful things I mean just an example of some of the things that you can do after going through this course you can use it to make predictions around you know what what the bitcoin price is going to be tomorrow it could help you you find that model or you might not be into you know making money and all those things you might be more into the optimization side and you can maybe even use this if you do go-karting like myself you can use regression modeling to optimize what is the best strategy for your cart in order to help you win races so there's a whole bunch of things that you can do with this skill and that's why I think it's really important that it's out there on the internet so that people can embrace it but without further ado let's jump on to part one so yeah part one part one what we're going to be doing is you're after each of the parts you can have a little bit of a break or you can just keep watching them in its entirety but part one it's we're going to be looking at this idea of correlation you know what do we mean by correlation correlation essentially means the strength and direction of a relationship so we're looking at the strength and direction of a relationship so what does that mean what does that mean what I'm going to do is I'm going to draw out five different graphs so these are our x and y axis yeah what we might have is let's say these are all of our points remember this is the x and this is the y if those are all of our points and it's just all random scattered about we will say that this is uncorrelated if we can see some sort of pattern where as x increases y increases we will say that we have a weak positive relationship we can maybe even see that this gets a little bit stronger and then we're going to use the terminology of this is strong positive if it follows a perfect little linear line like that we are going to say that it is perfect and positive but remember we can also get it if the data starts doing this we can see that we have this is perfect negative and I mean you might be saying okay hold on what what is this y and what is this x y I mean could be the interest oh no no what we would have for y y would be the bitcoin price say the bitcoin price and x could be the interest rates or if we're talking carting y could be our lap time and x could be our weight and what we could see in this situation we could see something like a negative correlated thing where as our weight increases so I don't know weight in this will be positive because as our weight increases our lap time will also increase we could see a negative correlation with bitcoin and interest rates as an example of a negative correlation so that that's what we what we kind of have but that's all good in theory where where do we get these numbers from and I mean we can't just say something as strong correlated we need to have some sort of numbers to help us help us in this thing so what we've had if we if we look back in the beginning of stats we looked at this thing known as the variance and the variance is simply how spread out a random variable is so how spread out a random variable is we then also looked at something called covariance and this is the joint spread of two random variables and covariance is kind of what we after we want to see how how yeah what is the spread between our y and our x how are they spread out the thing about covariance is that it's a bit of a meaningless number because what do we mean if our covariance is 10 or what do we mean if our covariance is 100 there's it's a very difficult number to compare and that's where correlation comes in correlation which is donated by the symbol p or written like this car x and y it is equal to the following formula we have the covariance of x and y but what we're doing is we're dividing it by the variance of x and the variance of y and what this is going to do it's going to remove that whole like magnitude or distortion that will come from the data and it's going to allow us to compare correlations across various data sets because what this does is it's going to make a set of bounds for our correlation so our correlation can never be greater than one and it can be never be less than negative one now why are we so interested in correlation when it comes to regression analysis is that if our correlation is equal to zero then it means that x and y are uncorrelated and that it's pretty pointless to do regression if we see that the interest rate and the bitcoin price are uncorrelated then there's no point in building a model with interest rate as our explanatory variable and bitcoin as our response variable because it's going to just be an absolute waste of time so this is what we want to do is before we go ahead and do our regression analysis we check the correlation because if the correlation is zero then like i said there's no points in wasting our time the problem though the problem is that this is the population correlation and very rarely will we have access to the population data instead we're going to have access to the sample data and that's where part two comes in so let's move on to part two of regression and in part two we're going to be looking at something called the sample correlation and the reason why we have to look at the sample correlation is because the population correlation is sometimes beyond us or we don't have access to all of it we do sometimes have access to a sample and we now need to use our sample to come up with an expectation or a guess for what the population correlation is supposed to be so let's look at sample correlation what is it it's donated by the little letter r and it is equal to s x y divided by s x x s y y now let's just explain what these s x y things actually are and it's important because we're going to be using these these formulas throughout the rest of the course so it's important that you pay attention to what these things are s x y is equal to the sum of the x i minus x bar y i minus y bar okay almost think of it as very much the covariance of x and y s y y is going to be equal to the following the sum of y i minus y bar squared and the same here we're going to have x i minus x bar squared and you can see it's similar to this whole concept oops i have made a terrible mistake um the variance of the y's and the variance of the x okay and you can see this formula over here looks like that formula over there but remember we are using this is in a sense using sample data where as this stuff over here was using population data okay like i said go check out the teachable course where we explain what sample and population is in in some of the earliest background stuff on stats but i think i think we should all be all be happy with that um what we now see is that because r is a function of the sample data what that means is that r is going to be a random variable so because r is a random variable we can do a whole bunch of lovely things on it but what it also means is as a random variable um we could have a situation where our population correlation is equal to zero but due to the fact that it's a random variable the sample might not be equal to zero due to random fluctuations which means which means we do need to do a bit of a hypothesis test and the hypothesis test will be something as follows we would have ho population correlation is equal to zero and h1 alternative hypothesis that it is not equal to zero we then have the following as our test stat which is as follows 1 minus r squared and this is with the t distribution um like i said i do want to skip the maths uh but if you want to prove this for yourself i mean you do need to rely a little bit on the central limit theorem um and look at the situations where your sigma squared is unknown but like i said the stats the maths behind this can get you can make an entire video just on that um but just take it as a result take it as one of the results uh in this course and we're going to see that if we have this as our test stat we can then calculate our confidence intervals at 95 percent uh that's going to give us two numbers and what we know is that if zero is not included in this in this confidence interval then we can reject h uh zero and we can continue with our regression model so just a little bit of a recap why are we doing everything that we're doing before we go into linear regression models we want to just check to see if there is some sort of relationship between the data in order to test what the relationship is we're going to need this thing known as the correlation and the correlation is the covariance between the two datasets divided by the variance of each one however we might not be able to have access to the population data in which case we need to take a sample from the sample we can calculate the sample correlation and then we can do a hypothesis test to see if it isn't or if zero is not and 95 percent uh possible in the confidence interval once we have all of that we can now go on to part three where we're going to be looking at linear regression models okay so now we're coming up to part three so yeah just a bit of a recap before we look into our linear regression models we had to look at the correlation to see if it's actually worth doing we want to make sure that the data is not uncorrelated but of course that's for the population we might not have access to the population data so we're going to look at the sample correlation which is a random variable which means we have to do a hypothesis test around it to make sure that we can do the linear regression okay so that is a bit of like the backstory now we're actually getting into the whole thing um because once we know that our correlation or sample correlation is not equal to zero with a 95 percent confidence we can fit our model um now this is becomes a whole thing you know what what type of model uh do we fit and when you have this as a as your day job when you're a data scientist and you're doing this this will take up a big chunk of the process is to decide what model are we going to use for now what we're going to be doing is we're going to be using the baby model which is known as the linear model we're just going to be using this it's the simplest and and what this is going to do it's we're going to build a lot of the theory or talk about a lot of the ideas which can then extend to the other models that you might have chosen uh the linear model in its very raw sense is something like this if we have our data we've tested that there is some sort of correlation we then going to draw a straight line and that is our linear model so if we were to write it out mathematically we would have the following we'd have yi is equal to alpha plus beta xi plus ei and I think what we're going to do is just quickly explain what each of these things are so this guy over here is our response variable we then have our alpha which is our intercept parameter beta is going to be our slope parameter xi is going to be our explanatory variable and then ei is going to be our error variable and a little fun thing with the error variable is that it is distributed normally with zero and another parameter called sigma squared and what this means is that in order to build our model so in order to build our linear regression model we have some parameters that we need to estimate and these parameters are alpha beta and sigma squared now once we find what these three parameters are this well the whole process of that is known as fitting the model so what we're going to be doing now is we're going to be looking at how do we actually fit the model and um so yeah let's end off this part by looking at that we've got the estimate for the slope parameter and it is equal to s x y divided by s x x the estimate for the intercept parameter alpha is equal to y bar minus beta hat x bar which is the estimator of the slope parameter and then we have sigma squared hat is equal to 1 over n minus 2 sigma of the sum of yi minus yi hat squared okay now if you're probably thinking where on earth did we get these things from essentially the mathematics behind it is we're doing a simultaneous equation the one equation is the sum of the yi's is equal to alpha n plus beta sum xi and then we also have the following one as well and what we do is your simultaneous equations we do the maths it's it's not that difficult but it takes up a bit of time and we we get those two guys over there we're not going to be going into that result as well like i said we just want to stay away from maths and focus on my ideas but what we will start to see is that these things once again are random variables so we're going to see that our little b hat guy over here is a random variable it's going to have an expected value um which is going to just equal this shows that it's unbiased and we're going to have the variance of it which is an important result which we're going to be using a lot later on um as follows one thing to always keep in mind is that the fitted model will always go through the point x bar y bar it's one of the little quirks of linear regression models anyway that concludes part three which is just an introduction to fitting the model okay let's look now at part four what we're going to be doing in part four is we want to measure the goodness of fit okay what do i mean by the goodness of fit well let's just draw it out to illustrate what i mean um we might have two linear models like this but the one might have all the data points very close to it we could say that's that's quite a good fit whereas we could have another one that looks like this and you can see number a has got a much better fit than number b however we don't want to just you know rely on our own eyes we want to actually have some mathematics behind it or a number to actually state how good of a fit it is another way of saying it is how much how much is explained by the model so what we mean by that is in scenario a a lot is explained by the model and in b not a lot is explained by the model so what we need to be doing here is we need to therefore study this s y y in more detail which as we remembered is equal to the sum of the y i's minus the y bars squared and if we remember from the previous part we have our linear regression model as follows we have y i's equal to alpha plus beta x i plus e i and we're going to see that there are two sources where we're getting the y i's from okay this source over here it's the x i's okay and this we could say is the good source and then we have the e i's which i guess you could say is the bad source um so what we can do what we can do is is the following okay the next little thing here is a bit of a jump in mathematics um so once again it's one of these results that we're just going to accept but you can you can look into it a little bit more we have this y i so if we look here we have y i minus y bar and we can say that this is equal to y i minus y i hat and whatever we subtract we also have to add so you can see those two terms cancel each other out with y bar there but what we're going to see what we're going to see and we're not going to prove this um it's quite a magical result but we get the following when we sum this side and we square it something interesting happens in the sense that we can also do the same on this side okay now this doesn't happen for all cases if this is a special case that this happens for um the reason being or if you do want to try and prove that that is the situation i will give you a hint and the hint is that the b hat is equal to s x y divided by s x remember we looked at that in part four or in the earlier part and you do need that relation in order to prove the following but what this does what this does is it partitions the the the response of the the model so what we're going to see is we can call this over here this is that s y y we can also call it the total sum of squares and we use this as the symbol for that so we can have this as the total sum of squares but what we've also done is we've broken it into this thing over here um which we are going to see a lot later is your e i your e i is equal to your y i minus your y i hat so this is the residual sum of estimated errors or s s res res is short for residuals plus um what we have over here which is our regression sum of squares so plus s s reg and a simple but unfortunate we've got res and reg they look a little bit similar but essentially what we're doing here is we're taking the variance and we're splitting it up into these two components this component over here which is represented by the e is or the unexplained part of the model and we have s s reg which is x i which is how much is explained by the model so we want the majority of s s tot to come from s s reg and we want to come we want s s res to be as small as possible now when we start getting to a little bit of the mass we can see that the estimator for this is also equal to s s res divided by n minus two and we can see that s s res itself is equal to s y y minus s x y squared over s x x now this is where the mass does get a little bit tricky and in the exam they can ask you to use these puzzle pieces to solve certain problems so it is important that you go through this yourself and you just get a better better understanding but what is cool is i mean these things as well you can take the expected value so the expected value of s s total which is the total sum of squares it is equal to n minus one sigma squared plus beta squared s x x the expected value of s s reg is going to be equal to sigma squared plus beta squared s x x and like i said we're not going to be going into the actual proofs for these things but you can do them yourselves if you want to if you just want to double check but essentially what we are saying is a good fit we're saying that the model is a good fit if our s s reg which is remember the x or the explained is high and our s s res the residuals is low and remember that's given by the error term what we can also do is we can explain this in a nice way with something called the coefficient of determination coefficient of determination and there's given by capital r squared which is equal to s s reg divided by s s tot basically we want to see how much of the variance is a proportion of the total which is also given by this formula here you can see how useful knowing those s x x's and s y y's actually are because that's an alternative formula but essentially your coefficient of determination we're going to quote it as a percentage and it can be either between zero percent and 100 percent what is interesting is if we look at it like this if we look at that formula there and we compare it to our sample correlation it's very interesting how it is the square of sample correlation and this makes sense if we have a very strong correlation we're expecting our linear model to be able to explain a lot of it if our sample correlation is very weak then we're expecting our model not to be able to explain a lot of it so it is very interesting to see how these two things are connected okay now we are moving on to part what part is this this is the slope parameter which is part number five okay so let's get into this part number five and we're going to be looking at the slope parameter in a little bit more detail okay but now in order to understand the slope parameter we just need to make a few assumptions about our error term and our little errors what we're going to be assuming is that they are all independent of one another and we're going to be assuming that they are normally distributed okay now what is interesting is when we assume this we can say the following we can say the following that our response variable is going to be normally distributed with alpha plus beta x i and sigma squared as the variance of course this is the beta one that we're interested in and we're going to see that it itself is normally distributed with beta and sigma squared s x x okay in order to do anything more we do need a following results okay and again we're not going to be proving these results but the results are one that the estimate for our slope parameter and sigma squared are independent okay and two we're going to be saying that n minus two the estimator for the variance divided by sigma squared is distributed according to the chi-squared distribution of n minus two and again this is something that you should be comfortable with if you've been doing the previous courses um otherwise go check out those videos if you're like whoa what on earth is sigma squared where did that come from anyway we're going to say that this thing is equal to n and once we have all of this i mean the maths is a little bit tricky but we can derive the maximum likelihood estimators of alpha beta and sigma squared and that might very well be an exam question especially if you're studying actual science so you do want to make sure that you're comfortable with that maths but because of the fact that we've got the maximum likelihood estimators of these guys we know then that the following is true of our slope parameter that we can put it in this format over here and we have it as in the standard normal and let's call this result equal to m now since these two things are independent okay what we can do and from the central limit theorem and all of our understanding of probability distributions we're going to see the following okay we've got this as our t distribution with n minus two degrees of freedom now what that basically allows us to do is write our slope parameter in the following way okay and you might be saying hold on what is that s e thing what is this this is almost the estimated standard error or the standard deviation kind of idea where we have it like this okay we're using the estimator over here instead of the actual population parameter and the whole idea is that we're going to use the standard normal when sigma is known but very likely that it's unknown in which case according to the central limit theory we can use the following here when this is unknown okay and this is great because now it's going to let us use this as our test statistic when it comes to calculating confidence intervals and hypothesis i mean we could very much get to this stage as our confidence interval is something like this plus minus t alpha divided by two n minus two times s e theta hash and bam we have we have our confidence interval what is interesting is once again we if we look at it a little bit closer we will see the following we see that beta hat is equal to this and r is equal to to this over here our sample correlation and what this basically means is that if beta hat is equal to zero then the only way that can equal to zero is if s x y is equal to zero and if x y is equal to zero then r has to be equal to zero and what we're seeing here is that if our slope is zero then it means that the data is uncorrelated so this is useful if we want to check if the model is a good fit but why it is a little bit more superior to the sample correlation is because now we can start testing now hypotheses where say beta is equal to one or where beta is equal to two or three or four it can extend our testing abilities okay let's use orange for the next part i think this is now this is part six let me keep in count yeah okay this is part six where things start getting very interesting we're going to be looking at the mean response and predictions of individual responses and I guess this is the whole point of regression analysis you know what is y i going to be when we have x i and what we can I think maybe let's just explain this right at the get go is let's say I'm busy doing carting now in carting I can do a one lap for qualifying and I can do 15 laps for the race okay when we're looking at the average lap time of the race we're going to be using following mean and when we're just going to be looking at one lap on its own we're going to be using y okay so I think that is just a very very important that we get that out of the way just in case you get a little bit confused like you're saying where on earth is this mu zero thing coming from it is the mean response of y given x o and I mean once again we're seeing alpha plus beta x o big thing to notice is there are no e i's in this formula here because it is the mean response which means we can estimate the mean response with our intercept parameter and our slope parameter given what our x o is now it's important to remember that this though is still a random variable and we're going to have the following set of results okay the first result should not scare anyone because it's unbiased the second result is where things get a little bit interesting if we have to take the variance of this estimator we're going to get an interesting formula let me just write it out okay now if you want to prove this if you want to be very brave and prove this I will give you I'll give you two hints okay the one hint is that the variance of alpha or the intercept parameter is equal to the following and two that the covariance of alpha hat and beta hat is equal to negative x bar now you need these two results if you are going to prove this but if in an exam or in some unfortunate situation you are told to prove this you can't just state these results you're going to have to do too many proofs for each of them as well before you can just state them so I can say this is where the maths can get a little bit insane but the important thing to realize is that is the result and just like how we did above we can take the standard error of it the important thing to note here is not only are we taking the square roots of it okay but watch there is another big difference there's another big difference feels like that game spot the difference but what we're going to be seeing here is is this in there you can see it we're using the estimator of sigma as this is the situation where the population variance is is unknown but what is nice is it means oh look at this we get a lovely little test stat as the following and it is according to the t distribution with n minus 2 which once again we can use for confidence intervals and the null hypothesis but that's all good for the mean response what if we want to do it for an individual response so like I said this was the way to think about it when we're doing my average lap time over the race of 15 laps what happens if we want to look at qualifying where it's just one lap we're only getting one chance what happens then so in this case we are going to use y o hats and at first it looks very similar to what we had before I mean look that that's actually the same however so the expected value is going to be the same but what about the variance the variance is and I think just just let's think about it logically okay if you do something 15 times or if you do something once what is going to be more variable and the answer is when you only do it once because you don't have the multiple things cancelling each other out or tending towards something so how do we handle the extra variance and what we do is to handle the extra variance we're going to add in another sigma squared which means the variance for y hat zero o is equal to the following 1 plus 1 over n plus x o minus x bar squared divided by xx sigma squared okay you can see we've added in another one of these things to compensate for the fact that the variance should be bigger but I mean once again we then just get to the situation where I mean now you should start seeing the pattern start seeing that the stuff actually isn't that difficult because once again we have it like this we're using the estimator and we can use this as our test stat in order to do our confidence intervals or our hypothesis testing which is very nice very very nice yeah so that is that was part six when we come now to part seven what we're going to be doing is checking the model so checking the model what do we mean by that well checking the model means we're going to be observing something known as scatter plots of the residuals now you might be saying okay hold on what is a residual well the residual at xi is ei hat which is equal to yi minus yi hat okay and the reason why we want to check the model or we want to observe these scatter parts is is for two reasons one we want to check our assumptions you know do we have true errors in our model you know our little e's are identical and independently distributed around the normal with a mean of zero and a variance of sigma squared and two what we want to do is we want to investigate the nature of the relationship between our response and exploratory variable so in a perfect situation our scatter plots would be just a random scatter and we can be like okay fantastic that is what we want we can then be quite happy with the model however however let's say we have a straight line and the data does this okay it's almost got a bit of a exponential growth and we fitted a linear model what we can then expect is our random errors are going to be growing as time goes on you can see they they're getting worse and worse the model starts deteriorating as we extend it and that's we don't want that we want our model to be to be the same whether we're in the beginning or at the end what this shows is we now have a pattern forming in our residuals and this is panic mode so we like no we don't want patterns in our residuals this is very bad and it's going to show that our model is inadequate okay if there's patterns in the residuals however there is a way to deal with our patterns if the residuals not doing well and that's what we're going to be looking into here in part eight so part eight we going to just briefly talk about something called transformation okay and transformation it's it's something like as we said when we have a pattern in our residual analysis so we might have a situation where like I said we have a growth model so an exponential growth which means as soon as we fit a linear regression the errors are going to be increasing as time goes forward so how we would show this is that the expected value of our response variable given our explanatory variable is equal to alpha to the power of beta xi now what do we do because we need something in a linear format if we're going to be doing a lot of our testing fortunately we can use a mathematical concept known as transformation and this is the transformation we can set up a new variable which is a transformation of our response variable and if we look at it now we will see that wi is going to be equal to log alpha plus because if you understand how logs work we now get this situation here which is our linear model so we have transformed an exponential into a linear which is going to be lovely because it's going to allow us to do all of our wonderful tests although one thing you've noticed is I've added the error term okay now this is implying that the error structure is additive which means it was multiplicative in the situation over here but there's potential problems with this and I mean I'm getting down a little bit down the rabbit hole which saying we look at more in generalized linear models which is a much later actual exam so I just wanted to briefly mention transformation to you it is saying that you'll deal with in the future and it is where things do get a little bit tricky but I do want to end off with the subject on regression with part nine which is where we're looking at something called multiple linear regression models and I think this is where the real fun actually begins because what we're going to be doing here is we're going to be looking at more than one variable so if it's bitcoin we might want to look at interest rates and we might also want to look at USD debt and we might want to look at I don't know inflation we might even want to look at trading volumes etc etc etc when it comes to carting we might want to look at say okay not only what is the weight of the cart but what is the tire pressure as well as you know what are the track conditions as well we can start getting more than one variable and the idea behind this is that more information means that our prediction power is going to be more accurate okay predictions are going to become more accurate okay so we want it how does this look mathematically well we have it of the following form y given x1 x2 all the way I mean up to xk it's going to equal to we're always going to have just one intercept parameter but look at this we now are going to have a whole bunch of these bees which we call the multiple regression coefficients so once again this y here is a random variable and all these bees are what we call the multiple regression coefficients so how we would then write it out is the following yi is equal to alpha plus b1 x1 plus dot dot dot plus bk xk plus our little error term but like I said this is this is very much just the tip of the iceberg I mean we can start playing around with many different models sometimes we can combine variables and the maths does start getting a little bit heavy and so this is where computers are are used but I thought I'd just give you a very brief introduction on multiple linear models so yeah if you've made it this far welcome well done you've made it to the conclusion look in this video we did talk a lot about confidence intervals hypothesis testing things known as test stats estimators etc etc etc so if you're new to data science and you've done this video you know what on earth was he talking about I do have a course on teachable there's actually a few other videos I do have on this channel as well but majority of them are going to be on teachable with some exam help and some other goodies to help you really understand these concepts and like I said the link is going to be in the description below and you can follow that and also feel free to ask me questions on this platform all the videos are nicely put together so it just makes for a much better learning environment anyway hope you guys enjoyed this course on regression analysis and yeah the maths is a little bit intimidating but I hope we were able to communicate the big ideas and we can see what a powerful form of stats this is as always thanks so much for watching cheers