The Regression Equation Suppose in this semester, our Exam 1 average was about 85 with an SD of about 12. Suppose the correlation between ou

Question

The Regression Equation Suppose in this semester, our Exam 1 average was about 85 with an SD of about 12. Suppose the correlation between our Exam 1 and Exam 2 scores will be similar to what it has been in the past, about 0.6, and finally, suppose our Exam 2 scores will be similar to previous semesters’ Exam 2 scores with an average of 82 and a SD of 8.2. Use this information to answer the following questions: What is the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores? Round to 3 decimal places.

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Aaliyah 1 week 2021-09-13T07:29:47+00:00 1 Answer 0

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    2021-09-13T07:31:43+00:00

    Answer:

    0.410

    Step-by-step explanation:

    We are predicting exam 2 scores from exam 1 scores so the dependent variable y is exam 2 scores and independent variable is exam 1 scores x.

    The regression equation is

    y=a+bx

    Where y is exam 2 scores and x is exam 1 scores.

    We are given that

    correlation coefficient=r=0.6.

    Mean and standard deviation of x are xbarx=85 and Sx=12.

    Mean and standard deviation of y are xbary=82 and Sy=8.2.

    The slope b for this scenario can be found as

    slope=b=r\frac{Sy}{Sx}

    slope=b=0.6(\frac{8.2}{12} )

    slope=b=0.6(0.6833)

    slope=b=0.41

    Thus, the slope of the regression equation for predicting  Exam 2 scores from Exam 1 scores is 0.410.

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