Question

Given are five observations for two variables, x and y.

xi 4

8

14

16

18

yi 58

52

45

24

11

The estimated regression equation for these data is y= 75.06 - 3.09x.

A. Compute SSE, SST, and SSR using the following equations (to 2 decimal).

B.Compute the coefficient of determination r2 (to 3 decimals).

The least squares line provided an (good/bad) fit; ---------% of the variability in y has been explained by the estimated regression equation (to 1 decimal).

C. Compute the sample correlation coefficient (to 4 decimals).

Answer 1

From the above table we get :

A) SSE = 272.94 SST = 1570    SSR = 1297.06

B) Coefficient of determination r² =0.826

The least square line provided an good fit; 82.6%  of the variability in y has been explained by the estimated regression equation.

C) From the data we get Sample correlation coefficient r =0.9089

Hope this will help you. Thank you :)