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

Question

29) 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: MAX: y = Elapsed time (in seconds) from 0 mph to 60 mph x = Maximum speed attained (miles per hour) The simple linear model E(y)-+ was fit to the data. Computer ts for the analysis are given below: printout NWEIGHTED LEAST SQUARES LINEAR REGRESSION OF TIME60 PREDICTOR VARIABLES COEFFICIENTISTD ERRON STUDENTST P MAX 0.08365 000491 1705 0,0000 R-SQUARED ADJUSTED R-SQUARED 0.6937 STANDARD. DEVIATION 0.6960 RESID MEAN SQUARE (MSE) 1.28695 1.13444 RESID. MEAN SQUARE (MSE) 1.28695 1.13444 R-SQUARED 06960 DJUSTED R-SQUARED 06937 STANDARD DEVIATION SOURCE RESIDUAL DF MS 127 163.4431.28695 TOTAL 128 537.728 CASES INCLUDED 129 MISSING CASES Fill in the blank,"At a =05, there is maximum speed and acceleration time. between 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 relationship

Explanation / Answer

p-value of MAX = 0.0000

p-value < 0.05

the variable MAX is significant

hence option D) is correct

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