There is often thought to be a relationship between a persons educational attainment and the number of children he or she has. The hypothesis is that as ones 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.

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

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

What is the value of the slope, b?

What is the value of the y intercept or a?

What is the predicted number of children for a person with a college degree (16) years of education?