Write the multiple regression equation for the computer output given: y hat = ..

Question

Write the multiple regression equation for the computer output given:

y hat = .... + .....x1 + ......x2

Indicate if any of the independent variables could be eliminated at the 0.01level of significance

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 (xi) 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 Errort-Stat p-value 97.171862 5.018598 19.362352 0.000001 Hours Unsupervised |-5.119253| 1.217086 |-4.206154|0.005647 Hours Playing Video Games 1.636387 1.278318 1.280109 0.247769 Intercept

Explanation / Answer

From the given regression analysis, we see that the Hours playing Video games independent variable has a p-value for the t test as 0.247769 which is greater than 0.01 which is the level of significance, therefore the variable is not significant and could be eliminated at the 0.01 level of significance.

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