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# MA3110 Exercise 6.1 Linear Correlation | Complete Solution

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MA3110: Module 6 Correlation and Regression

Exercise 6.1

Linear Correlation

In this exercise, you will solve three questions, where you will be asked to calculate a linear correlation coefficient and determine whether there is a linear correlation between the two given variables.

Solve the following problems:

Listed below are baseball team statistics, consisting of the proportions of wins and the result of this difference: Difference (number of runs scored) - (number of runs allowed). The statistics are from a recent year, and the teams are NY—Yankees, Toronto, Boston, Cleveland, Texas, Houston, San Francisco, and Kansas City. Difference

163

55

–5

88

51

16

–214 Wins

0.599

0.537

0.531

0.481

0.494

0.506

0.383

o Construct a scatter plot, find the value of the linear correlation coefficient r, and find the critical values of r from Table VI, Appendix A, p. A-14, of your textbook Elementary Statistics. Use α = 0.05.

o Is there sufficient evidence to conclude that there is a linear correlation between the proportion of wins and the above difference?

A classic application of correlation involves the association between temperature and the number of times a cricket chirps in a minute. Listed below are the numbers of chirps in 1 minute and the corresponding temperatures in °F: Chirps in 1 Min

882

1188

1104

864

1200

1032

960

900 Temperature(°F)

69.7

93.3

84.3

76.3

88.6

82.6

71.6

79.6

o Construct a scatter plot, find the value of the linear correlation coefficient r, and find the critical values of r from Table VI, Appendix A, p. A-14, of your textbook Elementary Statistics. Use α = 0.05.

o Is there a linear correlation between the number of chirps in 1 minute and the temperature?

Given below is a control chart for the temperature of a freezer unit in a restaurant. The owner of the restaurant is deciding whether or not to buy a new unit. The two charts display the temperature for the past two weeks. Write a paragraph analyzing the control charts and argue whether the owner should buy a new unit or not. (5-6 sentences)

Submission Requirements:

Submit your work in a single Microsoft Word or Excel document.

The answer to each question should be supported with an appropriate rationale or the correct steps.

Evaluation Criteria:

Correctly answered each question

Included appropriate steps or rationale to determine the answer to each question

## [Solved] MA3110 Exercise 6.1 Linear Correlation | Complete Solution

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