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Consider the following example: A researcher ran a regression model predicting p

ID: 2936780 • Letter: C

Question

Consider the following example: A researcher ran a regression model predicting people’s number of free hours per day (that is, how many hours per day were not dedicated to work, school, or other obligations) based on the number of children people had. In this model, the Y-intercept (or regression constant, a) was a = 5.8, and the slope (or regression coefficient, b) was

b = – 1.8. How many free hours would the model predict for someone with no children?

Question 2 options:

4.0

1.8

7.6

5.8

4.0

1.8

7.6

5.8

Explanation / Answer

We have Regression equation

Y = 5.8-1.8x

Where x is the number of children people had

For x = 0

Y = 5.8-1.8*0 = 5.8

Option D is Correct

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