Chapter 4.4, Problem 8E

(a)

To determine

To find the winning percentage of the pitcher with an earned run average of $4.2$ .

  

Answer to Problem 8E

The winning percentage of the pitcher with an earned run average of $4.2$ is $0.600$ .

Explanation of Solution

Given:

  

Formula Used:

The coordinates are written as $\left(x,y\right)$

Calculation:

Given:

  

As per the above definition, we have from the above scatterplot:

For $x=4.2$ , the value of $y$ is $0.600$ .

Thus, the winning percentage of the pitcher with an earned run average of $4.2$ is $0.600$ .

Conclusion:

The winning percentage of the pitcher with an earned run average of $4.2$ is $0.600$ .

(b)

To determine

To find theearned run average of the pitcher with awinning percentage of $0.33$ .

  

Answer to Problem 8E

The earned run average of the pitcher with a winning percentage of $0.33$ is $5$ .

Explanation of Solution

Given:

  

Formula Used:

The coordinates are written as $\left(x,y\right)$

Calculation:

Given:

  

As per the above definition, we have from the above scatterplot:

For $y=0.33$ , the value of $x$ is $5$ .

Thus, the earned run average of the pitcher with a winning percentage of $0.33$ is $5$ .

Conclusion:

The earned run average of the pitcher with a winning percentage of $0.33$ is $5$ .

(c)

To determine

To find thetend of winning percentageas the earned run average of the pitcher increases.

  

Answer to Problem 8E

The winning percentage decreases as the earned run average of the pitcher increases.

Explanation of Solution

Given:

  

Formula Used:

The coordinates are written as $\left(x,y\right)$

Calculation:

Given:

  

As per the above definition, we have from the above scatterplot:

As the value of $x$ increases, the value of $y$ decreases.

Thus, the winning percentage decreases as the earned run average of the pitcher increases.

Conclusion:

The winning percentage decreases as the earned run average of the pitcher increases.