Question
START NUMBER RUN T1 CYCLE T2 SKI TOTAL ELITE HOME CLASS 1 38.23 0.68 34.52 1.03 30.15 104.61 Y A Elite 2 37.10 0.73 35.60
START NUMBER RUN T1 CYCLE T2 SKI TOTAL ELITE HOME CLASS 1 38.23 0.68 34.52 1.03 30.15 104.61 Y A Elite 2 37.10 0.73 35.60 1.05 32.30 106.78 Y A Elite 3 40.07 0.75 37.53 1.33 31.32 111.00 Y A Elite 4 38.28 0.85 34.72 1.25 30.30 105.40 Y A Elite 5 40.83 0.90 36.63 1.88 31.98 112.22 Y A Elite 6 43.62 1.15 38.70 1.48 32.68 117.63 Y A Elite 7 38.27 0.83 34.75 1.47 31.22 106.54 Y H Elite 8 41.75 1.02 36.52 1.23 33.17 113.69 Y A Elite 9 38.77 0.83 34.25 1.40 33.70 108.95 Y H Elite 10 37.13 0.72 36.40 0.95 30.63 105.83 Y A Elite 12 37.12 0.58 35.33 0.90 27.00 100.93 Y A Elite 14 45.32 0.78 42.58 1.37 36.92 126.97 Y A Elite 16 42.77 0.55 40.28 1.18 34.52 119.30 Y A Elite 18 43.58 0.82 35.90 0.93 30.52 111.75 Y A Elite 20 32.97 0.52 26.87 0.62 23.78 84.76 Y A Elite 21 33.23 0.65 28.65 0.73 25.35 88.61 Y A Elite 22 32.57 0.67 27.10 1.08 24.82 86.24 Y A Elite 23 32.18 0.57 27.87 0.85 24.08 85.55 Y A Elite 24 32.00 0.62 28.68 0.92 24.52 86.74 Y H Elite 25 34.60 0.73 27.77 0.95 26.42 90.47 Y H Elite 26 33.65 0.80 30.78 1.22 26.78 93.23 Y A Elite 27 33.32 0.60 28.60 0.83 24.83 88.18 Y A Elite 28 34.52 0.83 28.15 1.03 25.77 90.30 Y A Elite 29 33.30 0.70 29.62 1.02 23.75 88.39 Y A Elite 30 37.18 1.00 28.38 1.87 27.48 95.91 Y A Elite 31 36.55 0.83 33.55 1.73 31.12 103.78 Y A Elite 32 34.42 0.88 27.78 1.37 28.15 92.60 Y A Elite 33 37.78 0.68 30.17 1.37 30.38 100.38 Y A Elite 34 36.53 0.65 31.20 0.98 26.95 96.31 Y A Elite 35 32.95 0.75 31.95 1.50 30.05 97.20 Y A Elite 36 36.70 0.95 32.63 1.23 26.98 98.49 Y A Elite 37 35.13 0.82 29.67 1.27 26.48 93.37 Y A Elite 38 31.42 0.78 29.85 1.08 23.45 86.58 Y A Elite 39 36.37 0.82 31.22 1.10 30.37 99.88 Y H Elite 40 36.38 0.82 32.30 1.48 37.33 108.31 Y A Elite 41 36.92 0.65 32.58 0.97 27.83 98.95 Y A Elite 43 33.37 0.72 30.83 0.92 26.88 92.72 Y A Elite 45 37.18 0.83 27.12 1.17 25.92 92.22 Y H Elite 47 35.25 0.75 29.22 0.98 25.92 92.12 Y A Elite 49 36.40 0.75 34.57 1.03 27.02 99.77 Y A Elite 51 35.52 0.60 30.52 0.85 27.48 94.97 Y A Elite 53 35.15 0.73 33.10 0.88 26.10 95.96 Y A Elite 55 31.35 0.65 31.15 0.93 25.33 89.41 Y H Elite 57 36.03 0.72 27.58 1.37 28.17 93.87 Y A Elite 59 34.43 1.02 38.28 1.23 29.07 104.03 Y A Elite 73 36.22 0.78 30.13 1.30 27.67 96.10 Y A Elite
Question 5 - 10 marks 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: E.r = (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 answer. Question 5 - 10 marks 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: E.r = (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 yourStep by Step Solution
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