Question

In baseball, is there a linear correlation between batting average and home run percentage? Let *x* represent the batting average of a professional baseball player, and let *y* represent the player's home run percentage (number of home runs per 100 times at bat). A random sample of *n* = 7 professional baseball players gave the following information.

x |
0.251 | 0.255 | 0.286 | 0.263 | 0.268 | 0.339 | 0.299 |

y |
1.3 | 3.0 | 5.5 | 3.8 | 3.5 | 7.3 | 5.0 |

(a) Make a scatter diagram of the data.

Then visualize the line you think best fits the data.

(b) Use a calculator to verify that Σ*x* = 1.961, Σ*x*^{2} = 0.555, Σ*y* = 29.4, Σ*y*^{2} = 145.92 and Σ*xy* = 8.571.

Compute*r*. (Round to 3 decimal places.)

As*x* increases, does the value of *r* imply that *y* should tend to increase or decrease? Explain your answer.

Flash Player version 10 or higher is required for this question.

You can get Flash Player free from Adobe's website.

(b) Use a calculator to verify that Σ

Compute

As

Given our value of *r*, we can not draw any conclusions for the behavior of *y* as *x* increases.

Given our value of *r*, *y* should tend to decrease as *x* increases.

Given our value of *r*, *y* should tend to remain constant as *x* increases.

Given our value of *r*, *y* should tend to increase as *x* increases.

Step 1

In this question we have the given data and using which we have to plot the scatter plot, and best line of fit and from given values we need to find the correlation coefficient and need to drew the conclusion about x and y.

Step 2

Part A) The scatter plot an...

Tagged in

Q: A linear regression was performed on a bivariate data set with variables x and y. Analysis by a comp...

A: Note: Since in this question there are 4 parts, but we are authorized to answer only up to three par...

Q: what is the class boundaries 16.5, 20.5, 24.5, 28.5, 32.5, 36.5, and 40.5.

A: Class boundaries are those numbers which are used to separate the classes.It is the midpoint of the ...

Q: 1. In a random sample of 15 CD players brought in form repair, the average repair cost was $80 and t...

A: It is given that the average repair cost (mean) is $80, sample standard deviation s is $14, the samp...

Q: A researcher wants to investigate whether mindfulness training improves ability for employees to not...

A: The total factors in the given experiment are1. Gender2. Disposition3. GroupsGender has two levels m...

Q: You are given the sample mean and the population standard deviation. Use this information to constru...

A: Confidence interval:The formula of confidence interval for the population mean when population stand...

Q: I asked this question before, and got an answer, but I have a question about the response that was g...

A: The formula that you shared from the text book is used for time-value-of-money calculations. Such a ...

Q: After you determine the mean annual return, how do you find the standard deviation?

A: Click to see the answer

Q: An epidemiologist found five cases of “big toe cancer” in the Yukon Territory. Because there were on...

A: Note: Since we are authorized to answer only up to 3 subparts, we are answering first three subparts...

Q: Find the t-value such that the area in the area in the right tail is 0.10 with 25 degrees of freedom

A: It is given that the degrees of the freedom is 25, the level of significance is 0.10 and the test is...

Sorry about that. What wasn’t helpful?