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 57.859921 8.309893 6.962776 0.000436

hrs unsupervised −0.831736 1.370139 −0.607045 0.566069

hrs gaming 7.315671 1.538838 4.754023 0.003146

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 0.05 level of significance.

Answer 1

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 57.859921 8.309893 6.962776 0.000436

hrs unsupervised −0.831736 1.370139 −0.607045 0.566069

hrs gaming 7.315671 1.538838 4.754023 0.003146

Step 1 of 2: Write the multiple regression equation for the computer output given. Round your answers to three decimal places.

y = 57.860-0.832*x1+7.316*x2

or

final grade = 57.860-0.832* hrs unsupervised +7.316* hrs gaming

Step 2 of 2: Indicate if any of the independent variables could be eliminated at the 0.05 level of significance.

For number of hours unsupervised each night, calculated t=-0.607, P=0.566069 which is > 0.05 level of significance. X1 is not significant. The variable number of hours unsupervised could be eliminated at the 0.05 level of significance.