In a comprehensive road test on all 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. Initially, the simple linear model E(y) Bo + B1x, was fit to the data. Computer printouts for the analysis are provided below. Approximately what percentage, rounded to the nearest whole percent, of the sample variation in acceleration time can be explained by the simple linear model? Click the icon to view the analysis. O A. 70% O B. 0% O C. 8% O D. - 17%

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In a comprehensive road test on all 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. Initially, the simple linear model E(y) = Bo + B1x, was fit to the data. Computer
printouts for the analysis are provided below. Approximately what percentage, rounded to the nearest whole percent, of the sample variation in acceleration time can
be explained by the simple linear model?
Click the icon to view the analysis.
O A. 70%
O B. 0%
O C. 8%
OD.
- 17%
More Info
TIME60: y = Elapsed time (in seconds) from 0 mph to 60 mph
MAX: x, = Maximum speed attained (miles per hour)
UNWEIGHTED LEAST SQUARES LINEAR REGRESSION OF TIME60
PREDICTOR
COEFFICIENT STD ERROR STUDENT'S T
P
VARIABLES
CONSTANT
18.7171
0.63708
29.38 0.0000
МAX
- 0.08365
0.00491
- 17.05 0.0000
R-SQUARED 0.6960
RESID. MEAN SQUARE (MSE) 1.28695
ADJUSTED R- SQUARED 0.6937
STANDARD DEVIATION 1.13444
SOURCE DF
s
MS
F
P
REGRESSION
1374.285 374.285 290.83 0.0000
RESIDUAL 127 163.443 1.28695
TOTAL 128 537.728
CASES INCLUDED 129 MISSING CASES O
Print
Done
Transcribed Image Text:In a comprehensive road test on all 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. Initially, the simple linear model E(y) = Bo + B1x, was fit to the data. Computer printouts for the analysis are provided below. Approximately what percentage, rounded to the nearest whole percent, of the sample variation in acceleration time can be explained by the simple linear model? Click the icon to view the analysis. O A. 70% O B. 0% O C. 8% OD. - 17% More Info TIME60: y = Elapsed time (in seconds) from 0 mph to 60 mph MAX: x, = Maximum speed attained (miles per hour) UNWEIGHTED LEAST SQUARES LINEAR REGRESSION OF TIME60 PREDICTOR COEFFICIENT STD ERROR STUDENT'S T P VARIABLES CONSTANT 18.7171 0.63708 29.38 0.0000 МAX - 0.08365 0.00491 - 17.05 0.0000 R-SQUARED 0.6960 RESID. MEAN SQUARE (MSE) 1.28695 ADJUSTED R- SQUARED 0.6937 STANDARD DEVIATION 1.13444 SOURCE DF s MS F P REGRESSION 1374.285 374.285 290.83 0.0000 RESIDUAL 127 163.443 1.28695 TOTAL 128 537.728 CASES INCLUDED 129 MISSING CASES O Print Done
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