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

ID: 3155739 • Letter: R

Question

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

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!

Explanation / Answer

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

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.

well since p value is lower tahn 0.10 we conclude that , but since p value is greater than 0.05 we conclude thtat thereis no significant linear predictor