In a comprehensive road test for new car models, one variable measured is the ti
ID: 3351106 • Letter: I
Question
In a comprehensive road test for 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 sampl e of 129 new cars. time (in seconds) from 0 mph to 60 mph TIME60: y Elapsed MAX: x = Maximum speed attained (miles per hour) The simple linear model E(y) = PO + P1x was fit to the data. Computer printouts for the analysis are given below: NWEIGHTED LEAST SQUARES LINEAR REGRESSION OF TIME60 PREDICTOR VARIABLES COEFFICIENT STD ERRORISTUDENTST P NSTANT 18.717 MAX 0.63708 0.00491 0,0000 17.05 0.0000 -0.08365 R-SQUARED 0.6960 RESID. MEAN SQUARE (MSE) 1.28695 ADJUSTED R-SQUARED 0.6937 STND. DEVIATION 1.13444 SOURCE DF MS EGRESSION RESIDUAL TOTAL 85 127 163.4431.28695 128 537.728 CASES INCLUDED 129 MISSING CASES Find and interpret the estimate 1 in the printout aboveExplanation / Answer
y^ = b0 + b1 *x
b1 = -0.08365
when we increase Max speed by 1 miles, then elapsed time to reach 60 mph from 0 mph decrease by 0.08365 sec