Question

# Given are five observations for two variables, x and y. xi 4 8 14 16 18...

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). 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

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