Question:

a) Define the correlation coefficient r.

b) Theoretically, what is the range of the correlation coefficient?

c) The following analysis examines the relationship between height and weight. You are to complete the output by adding the Null and Alternative Hypotheses, Decision, and Conclusion about this relationship.

Pearson Correlation Coefficient

Weight

Height 0.97165 r

0.0003 (p value)

Ho: \(\rho =0\)

Ha: \(\rho \ne 0\)

Decision (be specific why):

d) The following analysis examines the relationship between height and weight. You are to complete the output by adding the Null and Alternative Hypotheses, Decision, and Conclusion about this relationship.

Pearson Correlation Coefficient

Weight

Height 0.97165 r

0.0003 (p value)

Ho: \(\rho =0\)

Ha: \(\rho \ne 0\)

Decision (be specific why):