Question

The following table was generated from the sample data of 10 junior high students regarding the average number of hours they are unsupervised per night, the average number of hours they play video games per night, and their final grades in their math class. The dependent variable is the final grade, the first independent variable (x1) is the number of hours unsupervised each night, and the second independent variable (x2) is the number of hours of video games each night. Coefficients Standard Error t-Stat p-value Intercept 63.636996 5.013018 12.694349 0.000004 Hours Unsupervised −1.235932 1.248449 −0.989974 0.355164 Hours Playing Video Games 4.838142 1.248449 3.875323 0.006090 Step 1 of 2: Write the multiple regression equation for the computer output given. Round your answers to three decimal places. Step 2 of 2: Indicate if any of the independent variables could be eliminated at the 0.01 level of significance.

Answer 1

	Coefficients	Standard Error	t Stat	p-value
Intercept	63.636996	5.013018	12.694349	0.000004
Hours Unsupervised	-1.235932	1.248449	-0.989974	0.355164
Hours Playing Video Games	4.838142	1.248449	3.875323	0.00609

1)

The multiple regression equation

Final grade = 63.6371 - 1.2359 * Hours Unsupervised + 4.8381 * Hours Playing Video Games

2)

	p-value		alpha	Significant
Intercept	0.000004	<	0.01	Yes
Hours Unsupervised	0.355164	>	0.01	No
Hours Playing Video Games	0.00609	<	0.01	Yes

Yes, Hours Unsupervised variable is eliminated at the 0.01 level of significance.