Question

The following table was generated from the sample data of 10 college students regarding the number of parking tickets the student receives in a semester, the student's age, and the student's GPA. The dependent variable is the student's GPA, the first independent variable (x1) is the number of parking tickets, and the second independent variable (x2) is the student's age. Coefficients Standard Error t-Stat p-value Intercept −8.593245 1.831876 −4.690952 0.005381 Number of Parking Tickets −0.023715 0.045205 −0.524623 0.622265 Student's Age 0.633489 0.105255 6.018614 0.001821 Step 1 of 2 : Write the multiple regression equation for the computer output given. Round your answers to three decimal places.

Answer 1

The multiple regression results table is given as follows:

	Coefficient	SE	t-stat	p-value
Intercept	-8.59325	1.831876	-4.69	0.005381
Number of parking tickets	-0.02372	0.045205	-0.52462	0.622265
Student's age	0.6334	0.1052	6.0186	0.001821

We need to write the multiple regression equation for the output given above.
The dependent variable is student's GPA.
There are two independent variables.

Hence, the multiple regression equation is:

Student's GPA = Intercept + B1*Number of parking tickets + B2*Student's age
where B1 and B2 are the coefficients of the variables

Student's GPA = -8.593 - 0.024 * Number of parking tickets + 0.634 * Student's age