Consider the ANOVA table for a multiple linear regression given below. About wha

Question

Consider the ANOVA table for a multiple linear regression given below. About what percentage of the variability in the output is accounted for the the predictor variables? Multiple Regression Standard P- Value Parameter Estimate Error Statistic CONSTANT 331 Latitude Longitude AthleticRevenue 0.0001411 0.00003500244.03115 0.0001 Endowment0.001734550.00106854 1.62329 0.1076 13.2 9684.08 269.803 191.056 29.943965.7703 3.41934 0.0009 -1.41216 0.1610 0.4552790.6499 Analysis of Variance Sum of Squares F- P Ratio Value Source Df Mean Square Model 3.52982E9 4 882,455,000 Residual 9.8797E9 10197,818,800 0.0000 1.34095E10 105 (Corr.) R-squared = 26.3232 percent

Explanation / Answer

We know that R-squared gives us an information of the amount of variability in the dependent variable that is explained by the independent variables.

R-square=1- (sum of squares due to residuals)/(Total sum of squares)

Here it is given that R-square=26.3232%

So about 26.3232% of the variability in the output is accounted for the predictor variables.

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