Media periodically discuss the issue of heights of winning presidential candidates and heights of their main opponents. Listed below are those heights (cm) from several recent presidential elections (from Data Set 15 "Presidents" in Appendix B). Is there sufficient evidence to conclude that there is a linear correlation between heights of winning presidential candidates and heights of their main opponents? Should there be such a correlation?

Construct a scatterplot, and find the value of the linear correlation coefficient r. Also find the P-value or the critical values of r from Table A-6. Use a significance level of α = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables.

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AGE DAYS YEARS HEIGHT 188 170 189 HEIGHT OPP Washington .Adams Jefferson 1儲辮 2921 2921 2921 189 170 15 183 President 178 182 188 175 179 183 192 182 177 185 188 188 183 188 Opponent 180 180 182 173 178 182 180 180 183 177 173 188 185 175