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Multiple Regression Model: Sum of Squares, Variatin, SSE, MSE, and R-Squared

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.

Please show work.

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Solution Summary

The solution provides step by step method for the calculation of regression analysis. Formula for the calculation and interpretations of the results are also included.