Question

What information do regression coefficients give? Interpret the regression coefficient for number of minutes of exercise...

What information do regression coefficients give?

Interpret the regression coefficient for number of minutes of exercise (ExerciseMin) in the following equation for BMI:

BMI = 26 - 0.03ExerciseMin

What BMI would be predicted for someone who exercises 60 minutes a week?

What BMI would be predicted for someone who exercises 0 minutes a week?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

The regression coefficients give the magnitude of change in the dependent variable based on the change of the independent variable.

Here the equation given is:

BMI = 26 - 0.03ExerciseMin

The interpretation of the coefficient of number of minutes of exercise is given as:

For a unit increase in the number of minutes of exercise, according to the given equation, there would be a 0.03 units decrease in the BMI magnitude.

The predicted values here are computed as:

  • BMI = 26 - 0.03ExerciseMin = 26 - 0.03*60 = 24.2
  • BMI = 26 - 0.03*0 = 26
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