Consider the following partial computer output for a multiple regression model.
ID: 3436493 • Letter: C
Question
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
Explanation / Answer
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