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For the following data (a) display the data in a scatter plot, (b) calculate the

ID: 3257509 • Letter: F

Question

For the following data (a) display the data in a scatter plot, (b) calculate the sample correlation coefficient r, and (c) make a conclusion about the type of correlation. Use technology. The maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players are shown in the attached data table. (a) Choose the correct scatter plot below. (b) The correlation coefficient r is (Round to three decimal places as needed.) (c) Which of the following best describes the type of correlation that exists between between the maximum weight for which one repetition of a half squat can be performed and the time to run a 10-meter sprint? A. Weak positive linear correlation B. Strong positive linear correlation C. Weak negative linear correlation D. Strong negative linear correlation E. No linear correlation

Explanation / Answer

a) Scatterplot: Option C is correct.

b) The statistical software output for correlation coefficient is:

Correlation between x and y is:
-0.93814747

Hence,

r = -0.938

c) Option D is correct.