Least Squares Regression

AP Statistics· difficulty 2/5

For a linear regression, sx = 4, sy = 10, and r = 0.6.

Summary Statistics sx = 4 (units of x) sy = 10 (units of y) r = 0.6 slope b = ?

What is the slope of the least-squares regression line predicting y from x?

  • A

    1.5

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  • B

    2.4

  • C

    0.6

  • D

    0.24

Explanation

Slope b = r * (sy/sx) = 0.6 * (10/4) = 1.5.

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