- Prior to being hired, the ten salespersons for a computer store were given a standard sales aptitude test. For each individual, the score achieved on the aptitude test and the number of computer systems sold during the first 3 months of their employments are shown here (20 points)
| Name | Score on aptitude test | Units sold in 3 months |
| Susan
Michael Smith Randy Todd Rick Wilson Lily Tom Molly |
80
70 45 90 21 44 57 88 29 78 |
55
45 10 60 5 11 51 70 21 56 |
(A). Determine the regression line (dependent variable: Unit sold in 3 month, independent variable: Score on aptitude test) and interpret the slope and discuss its significance.
(B). Predict, for a new employee who scores 60 on the sales aptitude test, the number of units the new employee will see in her first 3 months with the company.
- The following data describe U.S. motor vehicle travel and fuel consumption from 2002 through 2007. The data represent billions of gallons consumed and billions of miles traveled, respectively.(20 points)
| Year | Fuel Consumed | Mile Traveled |
| 2002
2003 2004 2005 2006 2007 |
168.7
170.0 173.5 174.8 174.9 180.9 |
2856
2890 2965 2989 3014 3111 |
- Determine the regression line for predicting fuel consumption on the basis of driving mile
- Use the 0.05 level in testing whether the slope of driving mile could be zero, and interpret the slope
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