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The following data was collected to explore how the average number of hours a student studies per night and the students PA affect their ACT score. The dependent variable is the ACT score, the first independent variable (ri) is the number of hours spent studying and the second independent variable (x2) is the students GPA Effects on ACT Scores Study Hours GPA ACT Score 24 21 19 17 Copy Data Step 1 of 2: Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places

score. The dependent variable is the ACT score, the first independent variable xi) is the number of hours spent studying, and the second Independent variable (x2) is the students GPA Effects on ACT Scores Study Hours GPA ACT Score 24 322 3 21 19 217 Copy Data Nex Step 2 of 2: Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.05 level of significance. If the relationship is statistically significant, identify the multiple regression equation that best fits the data, rounding the answers to three decimal places. Otherwise, indicate that there is not enough evidence to show that the relationship is statistically significant. Answer(How to Enter) 2 Points Keypad ㎜Tables Selecting a checkbox will replace the entered answer valuets) with the checkbox value. f the checkbox is not selected, the entered answer is used x2 There is not enough evidence.
math   Statistics-And-Probability   
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Answer #1

I have solved the problem in excel. Screenshot attached.

1) P-Value of the equation is 0.0016

2)P value of intercept as well as independent variables (study hours and GPA) are less than 0.05.

This means, there is a significant linear relationship between independent and dependent variables.

The regression equation is:

ACT Score=12.136 + 0.727 * StudyHours + 2.045 * GPA

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