Sports and Leisure
A recent study suggests that, for NASCAR racers, yearly winnings are related to average finish.15 A random sample of NASCAR racers was obtained, and the average finish (x) and total winnings (y, in millions of dollars) through 31 races in 2013 were recorded for each.16
a. Construct a scatter plot of the data. Describe the relationship between average finish and winnings.
b. Find the sample correlation coefficient. Is the value of r consistent with your interpretation in part (a)? Why or why not?
c. Find the estimated regression line, and complete the ANOVA table.
d. Using your results from part (c), what would the average finish have to be in order to win at least $6 million through 31 races?