The following equation resulted from regressing the “percent of births to mother

Question

The following equation resulted from regressing the “percent of births to mothers less than 20 years of age” on the “percent of persons below the poverty level” for the 50 states and the District of Columbia:  

Y = 2.829 + 0.800 X

Interpret the regression coefficient

Interpret the constant term.

If the value of the independent variable was 20 percent, what would be the percent of births to mothers less than 20 years old?

If the value of the independent variable was 30 percent, what would be the percent of births to mothers less than 20 years old?

Explanation / Answer

Regression coefficient is 0.800

Constant term is 2.829

putting the value in equation we get Y=2.829+0.8*20=18.829

putting the value in equation we get Y=2.829+0.8*30 =26.829

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