For a particular regression analysis, SSTequals=147.7251 and SSRequals=142.8402 a. Obtain the coefficient of determination. b. Determine SSE.
A) Given data
For a regression analysis
SST=147.7251
SSR=142.8402
Total sum of squares(SST) =Sum of squares regression (SSR) +Sum of squares of error(SSE)
a) Coefficient of determination (R2) is
R2=SSR/(SSR+SSE) =SSR/SST
=142.8402/(142.8402+4.8849)
=142.8402/147.7251 =0.966
b) Sum of squares of error (SSE)
SST=SSR+SSE
Now, SSE=SST-SSR
=147.7251-142.8402
=4.8849.
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