In a comprehensive road test on new car models, one variable measured is the tim
ID: 3235615 • Letter: I
Question
In a comprehensive road test on new car models, one variable measured is the time it takes a 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: NWEIGHTED LEAST SQUARES LINEAR REGRESSION OF TIME60 Fill in the blank: "At alpha = 0.5, there is _____ between maximum speed and acceleration time." A) sufficient evidence of a positive linear relationship B) insufficient evidence of a linear relationship C) insufficient evidence of a negative linear relationship D) sufficient evidence of a negative linear relationshipExplanation / Answer
At alpha = .05 there is D) sufficient evidence of a negative linear relationship between maximum speed and accelearation time.
This is because:
MAX' coefficient is negative and hence the relationship is negative
The pvalue is .00 and therefore, the variable is significant