Media periodically discuss the issue of heights of winning presidential candidates and heights of their main opponents. The accompanying table lists the heights​ (cm) from several recent presidential elections. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a​ correlation? Use a significance level of α=0.01.     View the heights of the candidates. Candidate heights Dialog content starts President 181 183 185 175 175 182 197 177 174 187 194 191 188 185   Opponent 184 175 177 175 175 177 185 180 181 182 172 191 191 179   The linear correlation coefficientis r= ___________. ​(Round to three decimal places as​ needed.)   The test statistic is t=___________. ​(Round to two decimal places as​ needed.)   The​ P-value is _________. ​(Round to three decimal places as​ needed

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Author:Amos Gilat
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Section 10.1

Question #13

Media periodically discuss the issue of heights of winning presidential candidates and heights of their main opponents. The accompanying table lists the heights​ (cm) from several recent presidential elections. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a​ correlation? Use a significance level of α=0.01.
 
 
View the heights of the candidates.
Candidate heights
Dialog content starts
President
181
183
185
175
175
182
197
177
174
187
194
191
188
185
 
Opponent
184
175
177
175
175
177
185
180
181
182
172
191
191
179
 
The linear correlation coefficientis r= ___________.
​(Round to three decimal places as​ needed.)
 
The test statistic is t=___________.
​(Round to two decimal places as​ needed.)
 
The​ P-value is _________.
​(Round to three decimal places as​ needed.)
 
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