# Linear Correlation Assignments

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In this assignment, you should solve four 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:

1. 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

a. Construct a scatter plot, find the value of the linear correlation coefficient r, and find the critical values of r from Table A-6 using ? = 0.05.

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

2. One classic application of correlation involves the association between the temperature and the number of times a cricket chirps in a minute. Listed below are the numbers of chirps in 1 min 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

a. Construct a scatter plot, find the value of the linear correlation coefficient r, and find the critical values of r from Table A-6 using ? = 0.05.

b. Is there a linear correlation between the number of chirps

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