STAC67H3 Lecture Notes - .De, Confidence And Prediction Bands, Point Estimation
Document Summary
So the lse of 0 and 1 are, separately, 2. 114049 and 0. 03882713. The estimated regression function is: y= 0. 03882713*x +2. 114049. The point estimate of the change in the mean response is just the b1, 0. 03882713. So the 99 percent confidence interval is (0. 005385614, 0. 072268640), which doesn"t include zero. That means there is the significant relationship existed between the act score and the. Gpa at the end of the freshman year. That means |t*| t0. 995,118, which means given the significance level 0. 01, we reject h0. So it gives the same decision in part (b). So the 95 percent confidence interval is [3. 061384, 3. 341033], which means gpa of the student whose act is 28, will be somewhere between 3. 061384 and 3. 341033 with 95% possibility. So the 95 percent prediction interval is [1. 959355, 4. 443063], which means mary"s gpa will be somewhere between 1. 959355 and 4. 443063with 95% possibility. The 95 percent confidence band is [3. 026159, 3. 376258] when xh=28.
