The accompanying table shows the maximum weights(in kilograms) for which one repetition of a half squat can be performed and the times(in seconds) to run a10-meter sprint for 12 international soccer players. Complete parts(a) through(d) below.

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Click here to view the table of critical values for the Pearson correlation coefficient.LOADING...

(a) Display the data in a scatter plot. Choose the correct graph below.

A.

140

220

1.2

1.4

1.6

1.8

2.0

2.2

MaxWeight(kg)

Time(seconds)

A scatter plot has a horizontal axis labeled Maximum Weight (kilograms) from 140 to 220 in increments of 10 and a vertical axis labeled Time (seconds) from 1.2 to 2.2 in increments of 0.1. The following 12 points are plotted: (155, 2.05); (160, 1.90); (160, 2.00); (160, 2.05); (175, 1.92); (180, 1.65); (180, 1.72); (180, 1.79); (185, 1.60); (185, 1.78); (195, 1.63); (210, 1.42). The points follow a general trend of falling from left to right at a constant rate.

B.

1.2

2.2

140

160

180

200

220

MaxWeight(kg)

Time(seconds)

A scatter plot has a horizontal axis labeled Maximum Weight (kilograms) from 1.2 to 2.2 in increments of 0.1 and a vertical axis labeled Time (seconds) from 140 to 220 in increments of 10. The following 12 points are plotted: (1.42, 155); (1.6, 160); (1.63, 160); (1.65, 160); (1.72, 175); (1.78, 180); (1.79, 180); (1.9, 180); (1.92, 185); (2, 185); (2.05, 195); (2.05, 210). The points follow a general trend of rising from left to right at a constant rate.

C.

140

220

1.2

1.4

1.6

1.8

2.0

2.2

MaxWeight(kg)

Time(seconds)

A scatter plot has a horizontal axis labeled Maximum Weight (kilograms) from 140 to 220 in increments of 10 and a vertical axis labeled Time (seconds) from 1.2 to 2.2 in increments of 0.1. The following 12 points are plotted: (155, 1.42); (160, 1.6); (160, 1.63); (160, 1.65); (175, 1.72); (180, 1.78); (180, 1.79); (180, 1.9); (185, 1.92); (185, 2); (195, 2.05); (210, 2.05). The points follow a general trend of rising from left to right at a constant rate.

D.

1.2

2.2

140

160

180

200

220

MaxWeight(kg)

Time(seconds)

A scatter plot has a horizontal axis labeled Maximum Weight (kilograms) from 1.2 to 2.2 in increments of 0.1 and a vertical axis labeled Time (seconds) from 140 to 220 in increments of 10. The following 12 points are plotted: (1.42, 210); (1.6, 185); (1.63, 195); (1.65, 180); (1.72, 180); (1.78, 185); (1.79, 180); (1.9, 160); (1.92, 175); (2, 160); (2.05, 155); (2.05, 160). The points follow a general trend of falling from left to right at a constant rate.

(b) Calculate the sample correlation coefficient r.

r=

nothing

(Round to three decimal places asneeded.)

(c) Describe the type ofcorrelation, ifany, and interpret the correlation in the context of the data.