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The data below shows the high temperatures and the times (in minutes) runners who won a marathon. Answer parts A-D. Temperature (x) 60 61 47

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The data below shows the high temperatures and the times (in minutes) runners who won a marathon. Answer parts A-D. Temperature (x) 60 61 47 64 73 74 54 59 Time (y) 148.711 148.285 148.942 146.425 148.733 146.807 147.271 147.734 A. Find the value of the linear correlation coefficient r. I= (Round to three decimal places as needed.) B. Find the critical value of r from the table showing the critical values for the Pearson correlation coefficient using a=0.05. The critical value is . (Round to three decimal places as needed.) C. Is there sufficient evidence to conclude that there is a linear correlation between the two variables? a. Yes, because the absolute value of the correlation coefficient is greater than the critical value. b. No, because the absolute value of the correlation coefficient is greater than the critical value c. Yes, because the absolute value of the correlation coefficient is less than the critical value. d. No, because the absolute value of the correlation coefficient is less than the critical value H D. Does it appear that winning times are affected by temperature? a. No, because there is not a linear correlation between the two variables. b. Yes, because there is a linear correlation between the two variables

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