Chapter 7, Problem 12E

(a)

To determine

To identify which of the correlation given in the question belongs to the scatterplot given in the subparts.

Answer to Problem 12E

  $-0.977$ .

Explanation of Solution

The given list of correlations are: $-0.977,-0.021,0.736\text{ and 0}\text{.951}$ .

Thus, by looking at the scatterplot of part (a), we can say that the points in the scatterplot is downward sloping and also it shows the almost perfect negative correlation. Thus, it shows that its correlation coefficient should be negative and close to $-1$ . Thus, the correlation that best fits to it is $-0.977$ .

(b)

To determine

To identify which of the correlation given in the question belongs to the scatterplot given in the subparts.

Answer to Problem 12E

  $0.736$

Explanation of Solution

The given list of correlations are: $-0.977,-0.021,0.736\text{ and 0}\text{.951}$ .

Thus, by looking at the scatterplot of part (b), we can say that it is a positive linear association and its correlation coefficient should be less close to one as the points in the scatterplot shows that they are going in an upward direction so the relationship is positive than the scatterplot in part (c) whose points are much closer to one as the points are much clustered. Thus, the correlation that best fits to it is $0.736$ .

(c)

To determine

To identify which of the correlation given in the question belongs to the scatterplot given in the subparts.

Answer to Problem 12E

  $0.951$ .

Explanation of Solution

The given list of correlations are: $-0.977,-0.021,0.736\text{ and 0}\text{.951}$ .

Thus, by looking at the scatterplot of part (c),we can say that it is a positive linear association and its correlation coefficient should be much close to one as the points in the scatterplot shows that they are going in an upward direction and they are more clustered so the relationship is positive than the scatterplot in part (b) whose points are much scattered.Thus, the correlation that best fits to it is $0.951$ .

(d)

To determine

To identify which of the correlation given in the question belongs to the scatterplot given in the subparts.

Answer to Problem 12E

  $-0.021$ .

Explanation of Solution

The given list of correlations are: $-0.977,-0.021,0.736\text{ and 0}\text{.951}$ .

Thus, by looking at the scatterplot of part (d), we can say that the points are scattered more and the relationship is nearly close to zero as we cannot define the direction of the points in the scatterplot because the points are scattered in an undefined pattern. Thus, the correlation that best fits to it is $-0.021$ .