Least Squares Regression

AP Statistics· difficulty 3/5

Output is shown for predicting sleep from weekly exercise.

Regression Output Predictor Coef SE t P Constant 4.20 0.55 7.6 0.000 x 0.85 0.10 8.5 0.000 S = 1.4 R-Sq = 65.0% y = sleep (h), x = exercise (h/wk)

Write the regression equation.

  • A

    y-hat = 0.10 + 0.55 x

  • B

    y-hat = 4.20 - 0.85 x

  • C

    y-hat = 0.85 + 4.20 x

  • D

    y-hat = 4.20 + 0.85 x

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Explanation

The Coef column gives the intercept (Constant 4.20) and slope (x = 0.85).

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