For the mean response, this can be calculated using the regression model at x0 and square-root of sigma-hat x0-transpose data-matrix-X-transpose-X-inverse x0.
For the mean response, this can be calculated using the regression model at x0 and square-root of sigma-hat x0-transpose data-matrix-X-transpose-X-inverse x0. Using two inversely-related F statistics and sample variances, it can be calculated for the ratio of population variances, while "n-1 times sample variance over chi-square for alpha over 2" and "one minus alpha over 2" are used to compute the one for a hypothesis equating variance of a normal population with a constant. For paired comparisons, you use t times sample standard deviation of the differences times the square root of the sum of the inverses of the sample sizes. The probability that a parameter lies between its lower and upper limits is equal to one minus alpha, the type I error probability. It contains zero when the null hypothesis cannot be rejected. FTP name this range of values where a ► random sample is likely to fall with some probability, such as 95%.
For the mean response, this can be calculated using the regression model at x0 and square-root of sigma-hat x0-transpose data-matrix-X-transpose-X-inverse x0.
confidence intervals