Discussion:
Q: Theories have been developed about the heights of winning candidates for the U.S. presidency and the heights of candidates who were runners-up. Listed below are heights (in inches) from recent presidential elections. Is there a linear correlation between the heights of candidates who won and the heights of the candidates who runners-up?
Winner: 69.5, 73, 73, 74, 74.5, 74.5, 71, 71
Runner-up: 72, 69.5, 70, 68, 74, 74, 73, 76
Construct a scatterplot. Find the value of the linear correlation coefficient r and find the critical values of r using alpha = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables.