Given are five observations for two variables, x and y.
xi | 1 8 13 15 17
yi | 50 60 47 14 12
The estimated regression equation for these data is y = 64.22 - 2.56x.
a. Compute SSE, SST, and SSR.
SSE 873.66 (to 2 decimals)
SST 1951.2 (to 2 decimals)
SSR 1077.5 (to 2 decimals)
b. Compute the coefficient of determination r^2. Comment on the goodness of fit.
.552 (to 3 decimals)
The least squares line provided an good fit; -2.5 % of the variability in y has been explained by the estimated regression equation (to 1 decimal).
c. Compute the sample correlation coefficient. Enter negative value as negative number.
.743 (to 3 decimals)