Least Squares Regression

AP Statistics· difficulty 2/5

The means of x and y in a sample are 50 and 100. The slope of the least-squares regression line is 1.5.

Sample summary x-bar = 50 (units) y-bar = 100 (units) slope b = 1.5 intercept a = ?

What is the y-intercept?

  • A

    75

  • B

    50

  • C

    150

  • D

    25

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Explanation

The line passes through (x-bar, y-bar): a = y-bar - b * x-bar = 100 - 1.5(50) = 25.

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