Math Problem Solver

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 alphaequals0.05.

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Part 1

Construct a scatterplot. Choose the correct graph below.

A.

160

200

160

200

President Height (cm)

Opponent Height (cm)

A scatterplot has a horizontal axis labeled President Height in centimeters from 160 to 200 in increments of 5 and a vertical axis labeled Opponent Height in centimeters from 160 to 200 in increments of 5. Fourteen points are plotted with coordinates as follows: (181, 175); (175, 179); (172, 176); (184, 182); (186, 177); (179, 179); (172, 184); (177, 177); (185, 175); (181, 187); (171, 188); (177, 174); (182, 178); (173, 180).

B.

160

200

160

200

President Height (cm)

Opponent Height (cm)

A scatterplot has a horizontal axis labeled President Height in centimeters from 160 to 200 in increments of 5 and a vertical axis labeled Opponent Height in centimeters from 160 to 200 in increments of 5. Fourteen points are plotted with coordinates as follows: (179, 185); (185, 181); (188, 184); (176, 178); (174, 183); (181, 181); (188, 176); (183, 183); (175, 185); (179, 173); (189, 172); (183, 186); (178, 182); (187, 180).

Your answer is correct.C.

160

200

160

200

President Height (cm)

Opponent Height (cm)

A scatterplot has a horizontal axis labeled President Height in centimeters from 160 to 200 in increments of 5 and a vertical axis labeled Opponent Height in centimeters from 160 to 200 in increments of 5. Fourteen points are plotted with coordinates as follows: (181, 185); (175, 181); (172, 184); (184, 178); (186, 183); (179, 181); (172, 176); (177, 183); (185, 185); (181, 173); (171, 172); (177, 186); (182, 182); (173, 180).

D.

160

200

160

200

President Height (cm)

Opponent Height (cm)

A scatterplot has a horizontal axis labeled President Height in centimeters from 160 to 200 in increments of 5 and a vertical axis labeled Opponent Height in centimeters from 160 to 200 in increments of 5. Fourteen points are plotted with coordinates as follows: (179, 175); (185, 179); (188, 176); (176, 182); (174, 177); (181, 179); (188, 184); (183, 177); (175, 175); (179, 187); (189, 188); (183, 174); (178, 178); (187, 180).

Part 2

The linear correlation coefficientis requals

enter your response here.

​(Round to three decimal places as​ needed.)