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 r^{2} =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 :)
Given are five observations for two variables, x and y. xi 4 8 14 16 18...
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