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Part 1

For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y.

Click here to view the data set.

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Click here to view the critical values table.

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Part 1

(a) Draw a scatter diagram of the data. Choose the correct graph below.

A.

010020xy

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 19); (4, 9); (7, 11); (7, 8); (8, 4).

B.

010020xy

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 2. The following 5 points are plotted, listed here from left to right: (2, 19); (4, 14); (7, 11); (7, 8); (8, 4).

C.

010020xy

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 4); (4, 8); (7, 11); (7, 9); (8, 19).

D.

010020xy

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 2. The following 5 points are plotted, listed here from left to right: (2, 4); (4, 8); (7, 11); (7, 14); (8, 19).

Your answer is correct.

Part 2

(b) By hand, compute the correlation coefficient.

The correlation coefficient is

requals=enter your response here.

(Round to three decimal places as needed.)

Choose the correct graph below.The correlation coefficient is r(Round to three decimal places as needed.)Because the correlation coefficient isand the absolute value of the correlation coefficient,and the absolute value of the correlation coefficient,, is, isthan the critical value for this data set,than the critical value for this data set,,,(Round to three decimal places as needed.)Choose the correct graph below.The correlation coefficient is r(Round to three decimal places as needed.)