A major car magazine has recently collected data on 30 leading cars in the U.S.market.It is interested in building a multiple regression model to explain the variation in highway miles.The following correlation matrix has been computed from the data collected: The analysts also produced the following multiple regression output using curb weight,cylinders,and horsepower as the three independent variables.Note that a number of the output fields are missing,but can be determined from the information provided. Based on the information provided,the three independent variables explain approximately 67 percent of the variation in the highway mileage among these 30 cars.

Question

A major car magazine has recently collected data on 30 leading cars in the U.S.market.It is interested in building a multiple regression model to explain the variation in highway miles.The following correlation matrix has been computed from the data collected:  The analysts also produced the following multiple regression output using curb weight,cylinders,and horsepower as the three independent variables.Note that a number of the output fields are missing,but can be determined from the information provided.  Based on the information provided,the three independent variables explain approximately 67 percent of the variation in the highway mileage among these 30 cars.

Quizplus · Accepted Answer

The multiple regression output shows that the R-squared value is 0.667, which represents the proportion of variance in the dependent variable (highway miles) that can be explained by the independent variables (curb weight, cylinders, and horsepower). Therefore, approximately 67% of the variation in highway mileage is explained by the three independent variables.

A Major Car Magazine Has Recently Collected Data on 30