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19 February, 18:28

Below are a set of heights (in inches) and GPA scores for a sample of 6 students Height GPA 60 55 3.2 62 58 49 61 4.0 3.7 3.9 2.4 2.8 a. Find the correlation coefficient (r) for these two variables by hand: Find the mean and standard deviation for each variable Find the equation of the regression line to predict GPA from height by hand: Find the equation of the regression line to predict height from GPA by hand b. c. d. and e. Based on this data, what is the GPA prediction for a student who is 56 inches tall? f How good is this prediction?

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  1. 19 February, 20:52
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    Step-by-step explanation:

    given are a set of heights (in inches) and GPA scores for a sample of 6 students

    Height GPA

    60 3.2

    55 4

    62 3.7

    58 3.9

    49 2.4

    61 2.8

    r = 0.3844

    slope 0.05106383

    Intercept 0.397163121

    Regression equation is

    GPA = 0.0510 (height) + 0.3972

    When height = 56 inches

    we get

    GPA = 3.257

    Actual is between gpa for 55 and 58 i. e. 3.933 approxy

    Prediction is not very good.
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