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In a comprehensive road test on new car models, one variable measured is the tim

ID: 3250334 • Letter: I

Question

In a comprehensive road test on new car models, one variable measured is the time it takes the car to accelerate from 0 to 60 miles per hour. To model acceleration time, a regression analysis is conducted on a random sample of 129 new cars. TIME60: y = Elapsed time (in seconds) from 0 mph to 60 mph MAX x = Maximum speed attained (miles per hour) The simple linear model E(y) = beta_0 + beta_1 x was fit to the data. Computer printouts for the analysis are given below: Approximately what percentage of the sample variation in acceleration time can be explained by the simple linear model? A) 8% B) 70% C) -17% D) 0%

Explanation / Answer

The Rsquare tells you exactly this value.

The Rsquare is .696 which means almost .70

Thus 70% of the varince in acceleration time is being explained by this linear model

B is the right answer