Consider the following partial computer output for a multipl

Consider the following partial computer output for a multiple regression model.
Predictor            Coefficient         Standard Deviation

Constant               41.225                  6.380
X1                          1.081                  1.353
X2                        -18.404                 4.547

Analysis of Variance
Source                   DF                      SS
Regression              2                       2270.11
Error                      26                      3585.75
Find Total Sum of Squares, Explained Variation, SSE, MSE, R-Squared, and Test the overall usefulness of the model at 1% level of significance calculating the F-Statistic

Solution

Analysis of Variance
Source                   DF                      SS MS F
Regression              2                       2270.11 1135.055 8.2302
Error                      26                      3585.75 137.913

Total 28 5855.86   

F statistic = 8.2302

p value for df 2, 26 = 0.0017

As p value < 0.01, reject null hypohtesis.

There is statistically significant difference between the groups.

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R² = SSR/SST = 0.6331