Still using the data in elite.mwx (a) Calculate by hand, the correlation coefficient for the relationship between the run times of elite competitors and their total triathlon times. Give brief details of each step of the calculation, you may use Minitab to check your totals, but the correlation coefficient should be calculated by hand. For example: Er = (38.23 + 37.10 + ...) = 1674.41 (b) In the data set all times are in minutes. Would the correlation coefficient change if all the times were in recorded in seconds? Justify your answer. (c) Competitor number 17 (in row 12 of elite.mwx) had the slowest run time (45.32 minutes) and the slowest total triathlon time (126.97 minutes). Is this point an influential point? Would removing this point from the analysis have a large impact on the value of the correlation coefficient you calculated in part (a). Justify your