A statistics student computes the Pearson correlation coefficient between hours of exercise per week (x) and resting heart rate (y) for 60 adults and obtains r = −0.68. (a) Interpret the sign of r in context: what does the negative value indicate about the relationship? (b) Interpret the strength of the association (|r| = 0.68). (c) Does this correlation prove that exercising causes a lower resting heart rate? Explain.
Answer:
A statistics student computes the Pearson correlation coefficient between hours of exercise per week (x) and resting heart rate (y) for 36 adults and obtains r = −0.65. (a) Interpret the sign of r in context: what does the negative value indicate about the relationship? (b) Interpret the strength of the association (|r| = 0.65). (c) Does this correlation prove that exercising causes a lower resting heart rate? Explain.
Answer:
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