y^=81+4*x is the regression equation
x | y | (y^i) | (yi−yi^) | (yi−y^i)2 | (y^i−y¯)2 | (yi−y¯)2 | |
1 | 80 | 85 | -5 | 25 | 576 | 841 | |
3 | 97 | 93 | 4 | 16 | 256 | 144 | |
4 | 97 | 97 | 0 | 0 | 144 | 144 | |
4 | 107 | 97 | 10 | 100 | 144 | 4 | |
6 | 103 | 105 | -2 | 4 | 16 | 36 | |
8 | 101 | 113 | -12 | 144 | 16 | 64 | |
10 | 119 | 121 | -2 | 4 | 144 | 100 | |
10 | 123 | 121 | 2 | 4 | 144 | 196 | |
11 | 127 | 125 | 2 | 4 | 256 | 324 | |
13 | 136 | 133 | 3 | 9 | 576 | 729 | |
Sum | 70 | 1090 | 310 | 2272 | 2582 | ||
mean | 7 | 109 | SSE | SSR | SST |
a) SST and SSR SSE
SST | 2582 |
SSR | 2272 |
SSE | 310 |
B) r2=SSR/SST=2272/2582=0.88
C) Sample correlation coefficient =sqrt(r2)=0.938
#Sample correlation coefficient=0.938
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