The following table was generated from the sample data of 10 college students re

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.

COEFFICIENTS

STANDARD ERROR

T-STAT

P-VALUE

INTERCEPT

-7.451364

1.747995

-4.262807

0.003734

NUMBER OF PARKING TICKETS

0.306643

0.076351

4.016243

0.005084

STUDENT’S AGE

0.460854

0.085322

5.401362

0.001007

Step 1. Write the multiple regression equation for the computer output given. Enter answers out to 3 decimal places.

Step 2. Mark which independent variables could be eliminated if the level of significance is 0.05, or select "Keep all 2 point(s)

variables" if none can be eliminated.

A) x1 B) x2       C) Keep all variables

COEFFICIENTS

STANDARD ERROR

T-STAT

P-VALUE

INTERCEPT

-7.451364

1.747995

-4.262807

0.003734

NUMBER OF PARKING TICKETS

0.306643

0.076351

4.016243

0.005084

STUDENT’S AGE

0.460854

0.085322

5.401362

0.001007

Explanation / Answer

Step - 1: The multiple regression equation will be:

GPA = -7.451364 + 0.306643 x1 + 0.460854 x2

Step - 2: Since the p - value corresponding to both the variables x1 and x2 are less than 0.05,

none of the variables can be eliminated.

Option C is correct.

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