7. (12 points) The winning time, in the Olympic men\'s 500-meter speed skating r

Question

7. (12 points) The winning time, in the Olympic men's 500-meter speed skating race over the years 1924 to 2006 can be described by the following regression equation, where y is the winning time in seconds and z y = 292.31-0.13x (a) (3 points) Is the correlation between the winning time and year positive or negative? Explain how you is the year. know, and explain what that means in the context of this situation. (b) (3 points) In 2014, the actual winning time for the gold medal was 34.67 seconds. Use the regression equation to predict the winning time for 2014, and compare the prediction to what actually happened. (c) (3 points) Explain what the slope of -0.13 indicates in terms of how winning times change from one set of Olympic games to the next. Keep in mind that Olympic games occur every four years.

Explanation / Answer

a) Correlation is negative because the slope is negative

b) Predicted value

y = 292.31-0.13*2014 = 30.49

Predicted value is less than observed value

c) Winning time is decreased by 0.13 second for every increase in Years

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