The editors of a national automotive magazine recently studied 30 different automobiles sold in the United States with the intent of seeing whether they could develop a multiple regression model to explain the variation in highway miles per gallon.A number of different independent variables were collected.The following regression output (with some values missing)was recently presented to the editors by the magazine's analysts: Based on this output and your understanding of multiple regression analysis,what percentage of variation in the dependent variable is explained by the regression model?
A)Approximately 82 percent
B)Over 90 percent
C)About 37 percent
D)None of the above.

Question

The editors of a national automotive magazine recently studied 30 different automobiles sold in the United States with the intent of seeing whether they could develop a multiple regression model to explain the variation in highway miles per gallon.A number of different independent variables were collected.The following regression output (with some values missing)was recently presented to the editors by the magazine's analysts:  Based on this output and your understanding of multiple regression analysis,what percentage of variation in the dependent variable is explained by the regression model?
A)Approximately 82 percent 
B)Over 90 percent 
C)About 37 percent 
D)None of the above.

Quizplus · Accepted Answer

The coefficient of determination (R^2) is 0.824, which means that approximately 82% of the variation in the dependent variable (highway miles per gallon) is explained by the independent variables included in the multiple regression model.

The Editors of a National Automotive Magazine Recently Studied 30