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

question 54

Essay

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? $\begin{array}{l}\text { Regression Statistics }\\\begin{array}{|l|c|c|c|c|c|}\hline \text { Multiple R } & 0.718 & & & \\\hline \text { R Square } & 0.516 & & & & \\\hline \text { Adjusted R Square } & 0.273 & & & & \\\hline \text { Standard Error } & 0.339 & & & & \\\hline \text { Observations } & 10 & & & & \\\hline & & & & & \\\hline \text { ANOVA } & & & & & \\\hline & \text {df} &\text {SS} &\text { M S }&\text { F} &\text {Significance F} \\\hline \text { Regression } & 3 & 0.735 & 0.245 & 2.128 & 0.198 \\\hline \text { Residual } & 6 & 0.690 & 0.115 & & \\\hline \text { Total } & 9 & 1.425 & & & \\\hline & & & & & \\\hline &\text { Coefficients } & \text { Standard Error } &\text { Stat } &\text { P-value } & \\\hline \text { Intercept } & 0.541 & 1.262 & 0.43 & 0.68 & \\\hline \text { HS GPA } & 0.423 & 0.307 & 1.38 & 0.22 & \\\hline \text { SAT } & 0.001 & 0.001 & 1.51 & 0.18 & \\\hline \text { On-Line } & 0.010 & 0.017 & 0.61 & 0.57 & \\\hline\end{array}\end{array}$

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Definitions:

Selective Comprehension

The process by which individuals interpret information based on their existing beliefs, attitudes, or desires, often leading to misunderstanding or distortion of messages.

Stimulus Discrimination

The ability to distinguish between different stimuli, particularly in learning and behavioral contexts.

Selective Retention

The process by which individuals remember only the information that supports their beliefs or opinions, ignoring any contrary evidence.

Selective Analysis

A method of analyzing data or information where only certain aspects or variables are considered, often to support a specific hypothesis or outcome.