The data below shows the high temperatures and the times (in minutes) runners wh

Question

The data below shows the high temperatures and the times (in minutes) runners who won a marathon. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using =0.05. Is there sufficient evidence to conclude that there is a linear correlation between temperature and winning times? 60 48 64 73 71 50 Temperature (x)56 Time (y) 148,193 145.133 What are the null and alternative hypotheses? Construct the scatterplot. Choose the correct graph below 8 Oc. 14 50 100 50 100 50 1 100 50 100

Explanation / Answer

a) Option D is correct because alternate hypothesis should have not equal sign

b) Option A scatterplot graph is correct

c) Linear correlation coefficient r is 0.161

d) Test statistic = (0.161*Sqrt(8-2))/Sqrt(1-0.161*0.161) = 0.400

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