Ask Question
15 January, 05:07

Find the correlation coefficient, r, of the data described below,

Emily is a psychology professor studying the effect of media violence on modern

culture. As part of her research, she analyzed the content of several recent

action movies

For each movie, she noted the running time in minutes), x, and the number of

explosions, y

Explosions

8

12

8

29

21

Running time (in minutes)

80

85

85

88

90

Round your answer to the nearest thousandth,

r =

+5
Answers (1)
  1. 15 January, 08:43
    0
    r = 0.7575

    Explanation:

    Result Details & Calculation

    This is a strong positive correlation, which means that high X variable scores go with high Y variable scores (and vice versa).

    X Values

    ∑ = 78

    Mean = 15.6

    ∑ (X - Mx) 2 = SSx = 337.2

    Y Values

    ∑ = 428

    Mean = 85.6

    ∑ (Y - My) 2 = SSy = 57.2

    X and Y Combined

    N = 5

    ∑ (X - Mx) (Y - My) = 105.2

    R Calculation

    r = ∑ ((X - My) (Y - Mx)) / √ ((SSx) (SSy))

    r = 105.2 / √ ((337.2) (57.2)) = 0.7575

    Meta Numerics (cross-check)

    r = 0.7575
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Find the correlation coefficient, r, of the data described below, Emily is a psychology professor studying the effect of media violence on ...” in 📘 Advanced Placement (AP) if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers