Question

# The following data was collected to explore how the average number of hours a student studies...

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 Data

Study 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 Statistics

Multiple R 0.99993 R Square 0.99813 Adjusted R Square 0.9865 Standard Error 0.414 Observations 5

ANOVA
df SS MS F Significance F
Regression 2 90.525 31.776 59.41 0.01297
Residual 2 0.055 0.344
Total 4 87.138
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 10.28 0.87 21.713 0.00022 -2.66 22.36
Study Hours 7.2 1.06 31.573 0.00745 3.69 9.34
Student's GPA 2.45 0.305 31.038 0.00144

1.41

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? #### Earn Coins

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