Chapter 7, Problem 6E

(a)

To determine

To find out which of the scatterplots given in the question shows little or no association.

Answer to Problem 6E

Scatterplot $1$ .

Explanation of Solution

Given: The four scatterplots are given $1,2,3\text{ and 4}$ .

Scatterplot $1$ shows little or no association.

This is because since scatterplot $1$ has points scatter all around. We can't see they form an upward trend or a downward trend. Thus, it shows little or no association at all. Thus, the scatterplot $1$ is the result.

(b)

To determine

To find out which of the scatterplots given in the question shows a negative association.

Answer to Problem 6E

Scatterplot $4$ .

Explanation of Solution

Given: The four scatterplots are given $1,2,3\text{ and 4}$ .

Scatterplot $4$ shows a negative association.

It is because since as we can see the scatterplots given in the question that scatterplot $4$ have points in a downward trend. And the points show direction in the downward direction. Thus, it shows a negative association.

(c)

To determine

To find out which of the scatterplots given in the question shows a linear association.

Answer to Problem 6E

Scatterplot $2$ , scatterplot $3$ and scatterplot $4$ .

Explanation of Solution

Given: The four scatterplots are given $1,2,3\text{ and 4}$ .

Scatterplot $2$ , scatterplot $3$ and scatterplot $4$ shows a linear association.

This is because since they have points either in an upward trend that is scatterplot $2$ and also an upward trend in the scatterplot $4$ . Then only one that is not linear is scatterplot $1$ . Thus, these three scatterplots shows a linear association.

(d)

To determine

To find out which of the scatterplots given in the question shows a moderately strong association.

Answer to Problem 6E

Scatterplot $3$ .

Explanation of Solution

Given: The four scatterplots are given $1,2,3\text{ and 4}$ .

Scatterplot $3$ shows a moderately strong association.

This is because since it has points in an upward trend. However, since the points form more of a curve than a straight line, it reduces the strength of the linear association.Thus, the scatterplot $3$ shows a moderately strong association.

(e)

To determine

To find out which of the scatterplots given in the question shows a very strong association.

Answer to Problem 6E

Scatterplot $2$ and scatterplot $4$ .

Explanation of Solution

Scatterplot $2$ and scatterplot $4$ shows a very strong association.

This is because since they have points in an upward trend that is scatterplot $2$ or in a downward trend that is scatterplot $4$ and the points are clustered together.Thus, Scatterplot $2$ and scatterplot $4$ has a very strong association.