Consider a hypothetical regression predicting if someone will be married or not by the age of 40, MARRIED? (1 means this person is married by the age of 40 and 0 means this person is not married by the age of 40). The regression is as follows (all variables are statistically significant): MARRIED? = 0.2 + 0.03*EDUCATION - 0.01*BMI Where EDUCATION is the number of years of education someone's had and BMI is their body mass index. Suppose someone had 20 years of education and a BMI of 25. What is the predicted value of MARRIAGE

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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  1. Consider a hypothetical regression predicting if someone will be married or not by the age of 40, MARRIED? (1 means this person is married by the age of 40 and 0 means this person is not married by the age of 40).

    The regression is as follows (all variables are statistically significant):

    MARRIED? = 0.2 + 0.03*EDUCATION - 0.01*BMI

    Where EDUCATION is the number of years of education someone's had and BMI is their body mass index.

    Suppose someone had 20 years of education and a BMI of 25. What is the predicted value of MARRIAGE?

       

    0.35, which makes sense even though MARRIED? can only be a zero or one

       

    0, because the calculated value is 0.35 so we round down. 

       

    0.55, which makes sense even though MARRIED? can only be a zero or one.

       

    Calculating a predicted value should not be done here because the dependent variable is a dummy variable.

       

    1, because the calculated value is 0.55 so we round up. 

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