Question

(3 points) Find the least-squares regression line û = bo + b1x through the points (-1,2), (1,7), (6, 13), (9, 19), (10,26), and then use it to find point estimates ŷ corresponding to x = 5 and x = 9. For x = 5, û = For x = 9, û =

Answer 1

The statistical software output for this problem is :

Simple linear regression results: Dependent Variable: y Independent Variable: x y = 3.8787234 +1.9042553 x Sample size: 5 R (correlation coefficient) = 0.97143833 R-sq=0.94369242 Estimate of error standard deviation: 2.6037344

Predicted values: X value Pred. Y s.e.(Pred. y) 95% C.I. for mean 95% P.I. for new 13.4 1.1644254 (9.6942787, 17.105721) (4.3228736, 22.477126)

Predicted values: X value Pred. Y 9 21.017021 s.e.(Pred. y) 95% C.I. for mean 95% P.I. for new 1.5842451 (15.975246, 26.058796) (11.317467, 30.716575)

For x = 5 y hat = 13.4

For x = 9 y hat = 21.017