Question

The following table was generated from the sample data of 1010 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 (x1x1) is the number of hours unsupervised each night, and the second independent variable (x2x2) is the number of hours of video games each night.

	Coefficients	Standard Error	t-Stat	p-value
Intercept	60.10365160.103651	7.1820477.182047	8.3685968.368596	0.0001580.000158
Hours Unsupervised	4.6857474.685747	1.2228801.222880	3.8317303.831730	0.0086420.008642
Hours Playing Video Games	0.9533830.953383	1.8220901.822090	0.5232360.523236	0.6195630.619563

Copy Data

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 0.010.01 level of significance.

Answer 1

(1) Intercept and slope coefficients are 60.104, 4.686 and 0.953

Regression equation using the given data table is

Final grade = 60.104 + 4.686*(Hours unsupervised) + 0.953*(hours playing video game)

(2) p value for variable Hours Playing Video Games is 0.6196 > significance level 0.10 (statistically insignificant)

and p value for variable Hours unsupervised is 0.0086 < significance level 0.10(statistically significant)

Only Hours Playing Video Games variable is eliminated as it is insignificant at 0.10 level.