Question
The accompanying data represent x = treadmill run time to exhaustion (min) and y = 20...
The accompanying data represent x = treadmill run time to exhaustion (min) and y = 20 km ski time (min). x 7.7 8.4 8.7 9.0 9.6 9.6 10 10.3 10.5 11 11.8 y 71.0 71.4 65.0 68.7 64.4 69.4 63 64.9 66.7 62.2 61.6 sum x = 106.6 sum x^2 = 1047.44 sum y = 728.3 sum xy = 7024.64 sum y^2 = 48340.67 (a) Determine the equation of the estimated regression line. (Give the answers to four decimal places.) y = (b) What is your estimate of the average change in ski time associated with a 1 min increase in treadmill time? (Give the answer to four decimal places.) (c) What would you predict ski time to be for an individual whose treadmill time is 10 min? (Give the answer to four decimal places.) (d) Calculate the value of r2. (Give the answer to four decimal places.) (e) Calculate the value of se. (Give the answer to four decimal places.)
Homework Answers
Answer #1
a) equation of the estimated regression line :Y =88.6020-2.3107x
b) estimate of the average change in ski time associated with a 1 min increase in treadmill time =-2.3107
c)
predicted ski time =88.6020-2.3107*10=65.4950
d) value of r 2 =0.6371
e)
value of se =2.2050
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