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    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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    https://brainmass.com/statistics/correlation/linear-correlation-assignments-482977

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