2. Olympic 100m Reaction Times Data from 1996 Atlanta City Olympic Games 100m mens event. Reaction: Reaction time off the starting blocks in seconds Total: Time to run the a. Make a scatterplot of the data. 100m Reaction Total 0.132 10.16 0.146 10.26 0.157 10.14 0.175 10.16 0.148 10.98 0.195 10.23 0.176 10.45 0.169 10.29 0.167 11.12 0.186 10.95 0.172 10.24 0.198 11.87 0.177 11.14 0.145 9.99 0.144 10.26 0.161 10.89 0.151 10.13 0.116 10.17 0.188 10.49 b. Find r. Does r indicate that the relationship has a positive or negative association? Is there a strong linear relationship? c. Find the linear regression line, with reaction time as the independent variable_ d. What percent of the variation in the total time to run the 100m is contributed by the reaction time? e. Predict an athlete's time to run the 100m event with a reaction time of 0.139. f. Predict an athlete's reaction time, who has a total run time of 10.36 minutes.