Use the sample data in the accompanying table. The table includes the results for the top performers in the 1996 Molson Indy Toronto. Note that the data in the Final Position column are ordinal and thus should not be used in the regressions. The distance between the first and second final positions, for example, may be quite different from the distance between the second and third final positions. Intervals between starting positions, however, are assumed to correspond to consistent track distances. Times are given in seconds and speeds in miles per hour.

a. Use a 0.05 significance level to test for a linear correlation between qualifying speed and starting position.
b. Find the equation of the regression line that expresses starting position (y) in terms of qualifying speed (x).
c. What is the best predicted starting position (rounded to a whole number) for a driver whose qualifying speed is 109.066?

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Final Position Starting Position Qualifying Time Qualifying Speed Points 109.838 110.455 108.825 109.748 108.507 108.533 108.450 108.634 107.615 109.803 20 17 14 12 10 58.471 58.145 59.016 58.519 59.189 59.175 59.220 59.120 59.680 58.490 4 13 18 4 4 10 Based on data from Molson Indy Toronto.