Question

Female education is especially important in developing countries. Research consistently shows that women who are empowered through education tend to have fewer children and have them later. If and when they do become mothers, they tend to be healthier and raise healthier children, who then also stay in school longer. To verify this hypothesis, a researcher gathered data about education and childbearing. The following table displays data on “the number of children per women” and percent of “primary school enrollment” in 10 developing countries. Write the rest of column headers and finish the regression table in the process as you are answering the following questions.

ID

% Primary School Enrollment (X)

  

# of Children per Woman (y)

Ukraine

88(x)

2(y)

Kuwait

88(x)

2(y)

Iraq

85(x)

5(y)

Bangladesh

84(x)

2(y)

Albania

82(x)

2(y)

Armenia

82(x)

3(y)

Swaziland

80(x)

5(y)

Kenya

78(x)

7(y)

Nepal

69(x)

6(y)

Gambia

64(x)

6(y)

a. Find the mean of each independent and dependent variable

b. Obtain the slope (b) and the y-intercept (a). Plug in a & b in the regression equation. What does this formula tell you about the relationship between school enrollment and # of children per women?

c. Predict the number of children for a hypothetical country if the school enrollment would be 86

d. Calculate the correlation between the two variable X & Y (Use correlation formula).

e. Calculate R2. What does R2 tell us?

Answer 1