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A researcher wishes to examine the relationship between years of schooling compl

ID: 3229125 • Letter: A

Question

A researcher wishes to examine the relationship between years of schooling completed and the number of pregnancies in young women. Her research discovers a linear relationship, and the least squares line is:   ˆy=54xy^=5-4xwhere x is the number of years of schooling completed and y is the number of pregnancies.  The slope of the regression line can be interpreted in the following way:

1.) When amount of schooling increases by one year, the number of pregnancies decreases by 4.

2.) When amount of schooling increases by one year, the number of pregnancies increases by 4.

3.) When amount of schooling increases by one year, the number of pregnancies increases by 5.

4.) When amount of schooling increases by one year, the number of pregnancies decreases by 5.

Explanation / Answer

Interpretation of slope:

When amount of schooling increases by one year, the number of pregnancies decreases by 4.

Option 1 is correct.

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