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Posted: February 5th, 2019

Problems on Linear Correlation Coefficient

In this exercise, you will solve three questions, where you will be asked to calculate a linear correlationcoefficient 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 thisdifference: Difference (number of runs scored) – (number of runs allowed). The statistics are from arecent year, and the teams are NY—Yankees, Toronto, Boston, Cleveland, Texas, Houston, SanFrancisco, and Kansas City.Difference 163 55 –5 88 51 16 –214Wins 0.599 0.537 0.531 0.481 0.494 0.506 0.383o Construct a scatter plot, find the value of the linear correlation coefficient r, and find thecritical values of r from Table VI, Appendix A, p. A-14, of your textbook Elementary Statistics.Use ? = 0.05.o Is there sufficient evidence to conclude that there is a linear correlation between theproportion of wins and the above difference?? A classic application of correlation involves the association between temperature and the number oftimes a cricket chirps in a minute. Listed below are the numbers of chirps in 1 minute and thecorresponding temperatures in °F:Chirps in 1 Min 882 1188 1104 864 1200 1032 960 900Temperature(°F) 69.7 93.3 84.3 76.3 88.6 82.6 71.6 79.6o Construct a scatter plot, find the value of the linear correlation coefficient r, and find thecritical values of r from Table VI, Appendix A, p. A-14, of your textbook Elementary Statistics.Use ? = 0.05.o Is there a linear correlation between the number of chirps in 1 minute and thetemperature? MA3110: Module 6 Correlation and RegressionExercise 6.1Linear Correlation2? Given below is a control chart for the temperature of a freezer unit in a restaurant. The owner ofthe restaurant is deciding whether or not to buy a new unit. The two charts display the temperaturefor the past two weeks. Write a paragraph analyzing the control charts and argue whether theowner 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 correctsteps.Evaluation Criteria:? Correctly answered each question? Included appropriate steps or rationale to determine the answer to each question

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