Regression Analysis: Avg. Tot. Score versus %Takers, T/S Ratio

Model Summary

S R-sq R-sq(adj) R-sq(pred)

34.2385 79.91% 79.06% 76.83%

Coefficients

Term Coef SE Coef T-Value P-Value VIF

Constant 1118.5 39.5 28.34 0.000

%Takers -2.547 0.187 -13.62 0.000 1.05

T/S Ratio -3.73 2.21 -1.69 0.098 1.05

1. What are the degrees of freedom associated with the t tests of the slopes?

A) 46

B) 47

C) 48

D) 49

E) 50

2.Under what conditions are the computed p-values for these tests valid?

3. Assuming those conditions are satisfied, which of the following gives a correct interpretation of the p-value of T/S Ratio?

A) At the 10% significance level, T/S Ratio is a significant linear predictor.

B) At the 10% significance level, T/S is a significant linear predictor in combination with %Takers.

C) At the 5% significance level, T/S Ratio is not a significant linear predictor in combination with %Takers.

D) Both b and c.

Please explain how you arrived to each of the answers. Thanks!

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