Question 1
Consider the following pairs of observations:
Find and interpret the value of the coefficient of determination.
Question 2
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) =
β0 +
β1x was fit to the data. Computer printouts for the analysis are given below:
NWEIGHTED LEAST SQUARES LINEAR REGRESSION OF TIME60
CASES INCLUDED 129 MISSING CASES 0
Approximately what percentage of the sample variation in acceleration time can be explained by the simple linear model?
◦ 70%
◦ 8%
◦ -17%
◦ 0%
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