The following data was collected to explore how the average number of hours a student studies per night and the student's GPA affect their ACT score. The dependent variable is the ACT score, the first independent variable (x1) is the number of hours spent studying, and the second independent variable (x2) is the student's GPA.
ACT Score Study DataStudy Hours GPA ACT Score 1 2 19.91 1 2 19.69 2 2 25.52 2 3 29.67 2 4 29.77
A regression Analysis has been performed to estimate the model
and the output is given.
Regression StatisticsMultiple R 0.99993 R Square 0.99813 Adjusted R Square 0.9865 Standard Error 0.414 Observations 5
|Coefficients||Standard Error||t Stat||P-value||Lower 95%||Upper 95%|
Step 1 of 4:
What is the intercept of the estimated regression equation?
Step 2 of 4:
What is the standard deviation of the error term?
Step 3 of 4:
What is the predicted value of an ACT Score if the student studies 1.5 hours per night, and has a GPA of 3.5?
Step 4 of 4:
If you were testing with a significance level of 0.05, would you recommend removing "GPA" as an explanatory variable for predicting ACT scores?
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