There is often thought to be a relationship between a person's educational attainment and the number of children he or she has. The hypothesis is that as one's educational level increases, he or she has fewer children. Investigate this conjecture with 25 cases drawn from the 2006 GSS file. The following table displays educational attainment in years, and the number of children for each respondent.

Calculate the Pearson Correlation coefficient (r) for these two variables.

Years of Education # of Children

16 0

12 1

12 3

6 6

14 2

14 2

16 2

12 2

17 2

12 3

14 4

13 0

12 1

12 2

12 3

11 1

12 2

11 2

12 0

12 2

12 3

12 4

12 1

14 0

12 3

What is the value of the slope, or b for the information in question ?

Using the information in the question what is the value of the y intercept or a?

Using the information, what is the predicted number of children for a person with a college degree (16) years of education?