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,a number of the output fields are missing,but can be determined from the information provided. Based on the above information,the test statistic for testing whether the overall model is statistically significant is approximately F = 17.4

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,a number of the output fields are missing,but can be determined from the information provided.  Based on the above information,the test statistic for testing whether the overall model is statistically significant is approximately F = 17.4

Quizplus · Accepted Answer

The F-statistic for testing the overall significance of the multiple regression model is provided in the output as 17.4. Since the F-statistic is greater than 1 and the p-value is less than 0.05 (not displayed in the output, but assumed based on standard practice), we can conclude that the overall model is statistically significant. Therefore, the answer is A)True.

A Major Car Magazine Has Recently Collected Data on 30