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Multiple Regression Was Used to Forecast Success in College (GPA)based

Question 43

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Multiple regression was used to forecast success in college (GPA)based upon SAT score, high school GPA, and hours spent on-line. Use the regression output shown and comment on the overall fit of the model, the usefulness of each independent variable, and the value to an admissions department of using the model to make admission decisions. What is the model's forecast for an applicant having a high school GPA of 2.5 and an SAT score of 1000 that spends 20 hours a week on-line? What other variables do you feel would make good indicators of college GPA?  Regression Statistics  Multiple R 0.718 R Square 0.516 Adjusted R Square 0.273 Standard Error 0.339 Observations 10 ANOVA dfSS M S  FSignificance F Regression 30.7350.2452.1280.198 Residual 60.6900.115 Total 91.425 Coefficients  Standard Error  Stat  P-value  Intercept 0.5411.2620.430.68 HS GPA 0.4230.3071.380.22 SAT 0.0010.0011.510.18 On-Line 0.0100.0170.610.57\begin{array}{l}\text { Regression Statistics }\\\begin{array}{|l|c|c|c|c|c|}\hline \text { Multiple R } & 0.718 & & & \\\hline \text { R Square } & 0.516 & & & & \\\hline \text { Adjusted R Square } & 0.273 & & & & \\\hline \text { Standard Error } & 0.339 & & & & \\\hline \text { Observations } & 10 & & & & \\\hline & & & & & \\\hline \text { ANOVA } & & & & & \\\hline & \text {df} &\text {SS} &\text { M S }&\text { F} &\text {Significance F} \\\hline \text { Regression } & 3 & 0.735 & 0.245 & 2.128 & 0.198 \\\hline \text { Residual } & 6 & 0.690 & 0.115 & & \\\hline \text { Total } & 9 & 1.425 & & & \\\hline & & & & & \\\hline &\text { Coefficients } & \text { Standard Error } &\text { Stat } &\text { P-value } & \\\hline \text { Intercept } & 0.541 & 1.262 & 0.43 & 0.68 & \\\hline \text { HS GPA } & 0.423 & 0.307 & 1.38 & 0.22 & \\\hline \text { SAT } & 0.001 & 0.001 & 1.51 & 0.18 & \\\hline \text { On-Line } & 0.010 & 0.017 & 0.61 & 0.57 & \\\hline\end{array}\end{array}

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