Use the given data to complete parts (a) and (b) below.

	x	y
2.1	3.9
4	1.4
2.8	3.5
4.8	5

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

A.

02460246xy

A scatter diagram has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. The following 4 approximate points are plotted, listed here from left to right: (1.4, 2.8); (3.6, 4); (4, 4.8); (5, 2.2).

B.

02460246xy

A scatter diagram has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. The following 4 approximate points are plotted, listed here from left to right: (2.2, 5); (2.8, 1.4); (4, 3.6); (4.8, 4).

C.

02460246xy

A scatter diagram has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. The following 4 approximate points are plotted, listed here from left to right: (1.4, 4); (3.6, 2.8); (4, 2.2); (5, 4.8).

D.

02460246xy

A scatter diagram has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. The following 4 approximate points are plotted, listed here from left to right: (2.2, 4); (2.8, 3.6); (4, 1.4); (4.8, 5).

Compute the linear correlation coefficient. The linear correlation coefficient for the four pieces of data is

nothing.

(Round to three decimal places as needed.)

(b) Draw a scatter diagram of the data with the additional data point

(10.3,9.3).

Choose the correct answer below.

A.

0481204812xy

A scatter diagram has a horizontal x-axis labeled from 0 to 12 in increments of 2 and a vertical y-axis labeled from 0 to 12 in increments of 2. The following 5 approximate points are plotted, listed here from left to right: (1.4, 4.8); (3.6, 2.8); (5, 4); (9.4, 2.2). The point at (4, 10.4) is far above the other 4 points.

B.

0481204812xy

A scatter diagram has a horizontal x-axis labeled from 0 to 12 in increments of 2 and a vertical y-axis labeled from 0 to 12 in increments of 2. The following 5 approximate points are plotted, listed here from left to right: (2.2, 4); (2.8, 3.6); (4, 1.4); (4.8, 5). The point at (10.4, 9.4) is far above and to the right of the other 4 points.

C.

0481204812xy

A scatter diagram has a horizontal x-axis labeled from 0 to 12 in increments of 2 and a vertical y-axis labeled from 0 to 12 in increments of 2. The following 5 approximate points are plotted, listed here from left to right: (1.4, 4); (3.6, 2.8); (4, 2.2); (5, 4.8). The point at (9.4, 10.4) is far above and to the right of the other 4 points.

D.

0481204812xy

A scatter diagram has a horizontal x-axis labeled from 0 to 12 in increments of 2 and a vertical y-axis labeled from 0 to 12 in increments of 2. The following 5 approximate points are plotted, listed here from left to right: (2.2, 9.4); (2.8, 3.6); (4, 5); (4.8, 1.4). The point at (10.4, 4) is far to the right of the other 4 points.

Compute the linear correlation coefficient with the additional data point. The linear correlation coefficient for the five pieces of data is

nothing.

(Round to three decimal places as needed.)

Comment on the effect the additional data point has on the linear correlation coefficient.

A.

The additional data point does not affect the linear correlation coefficient.

B.

The additional data point strengthens the appearence of a linear association between the data points.

C.

The additional data point weakens the appearence of a linear association between the data points.

Explain why correlations should always be reported with scatter diagrams.

A.

The scatter diagram is needed to see if the correlation coefficient is being affected by the presence of outliers.

B.

The scatter diagram is needed to determine if the correlation is positive or negative.

C.

The scatter diagram can be used to distinguish between association and causation.