The following data was collected to explore how a student's age and GPA affect the number of parking tickets they receive in a given year. The dependent variable is the number of parking tickets, the first independent variable (x1x1) is the student's age, and the second independent variable (x2x2) is the student's GPA.
Age | GPA | Number of Tickets |
---|---|---|
17 | 2 | 1 |
17 | 2 | 2 |
18 | 2 | 4 |
20 | 2 | 5 |
20 | 3 | 5 |
22 | 3 | 6 |
22 | 3 | 6 |
23 | 3 | 7 |
25 | 4 | 7 |
Step 2 of 2 :
Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.010.01 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.
Selecting a checkbox will replace the entered answer value(s) with the checkbox value. If the checkbox is not selected, the entered answer is used.
yˆ=y^= ________+__________x1+ __________x2 or There is not enough evidence.
The statistical software output for this problem is;
Since p - value is less than 0.10, the equation is significant. Hence,
Regression equation will be:
= -11.9156 + 0.9616 x1 + (-1.1125) x2
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