Step 1 of 2 : Find the p-value for the regression equation that fits the given d

Question

Step 1 of 2 : Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places. Step 2 of 2 : Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.01 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. Step 1 of 2 : Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places. Step 2 of 2 : Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.01 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. Question 4 of 9, Step 1 of 2 5/16 Correct he following data was collected to explore how the average number of hours a student studies per n 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 Effects on ACT Scores Study Hours GPA ACT Score 30 4 23 3 22 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. Tables Keypad Answer How to enter your answer Submit Answer 2018 Hawkes Learning

Explanation / Answer

The statistical software output for this problem is:

Multiple linear regression results:
Dependent Variable: ACT Score
Independent Variable(s): Study Hours, GPA
ACT Score = 19 + 2.1818182 Study Hours + -0.54545455 GPA

Parameter estimates:

Analysis of variance table for multiple regression model:

Summary of fit:
Root MSE: 0.42640143
R-squared: 0.9925
R-squared (adjusted): 0.9851

Hence,

a) p - Value = 0.0075

b) Multiple regression equation:

ACT score = 19 + 2.18 * Study + (-0.55) GPA

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 19 0.87904907 0 2 21.614265 0.0021 Study Hours 2.1818182 0.17007534 0 2 12.82854 0.006 GPA -0.54545455 0.3520894 0 2 -1.5491933 0.2615

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