Problem set 1: Use the following data to answer questions 1-4 (30 points):

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 2020 GSS file. The following table displays educational attainment, in years, and the number of children for each respondent.

Education	Children	Education	Children	Education	Children
18	1	14	2	18	2
12	3	13	2	13	2
14	2	15	1	15	3
8	6	12	2	14	2
15	1	12	3	12	2
14	2	11	3
16	1	12	3
12	4	11	4
24	0	12	4
12	3	12	4

4. Does any respondent actually have this number of children? If so, what is his or her level of education? If not, is this a problem or an indication that the regression equation you calculated is incorrect? Why or why not (5 pts)?