Twelve families have been referred to a counselor, and she has rated each of them on a scale that measures family cohesiveness.[1] Also, she has information on the number of children currently living at home. The counselor asked you to perform an appropriate test to understand if family cohesion is influenced by the number of children. Using the data presented below, compute and interpret using a sentence or two each of the following statistics.
a. Magnitude of the relationship
b. Intercept of the relationship
c. Pearson's R
d. R Square
Family Cohesion score Number of children
1 10 5
2 10 4
3 9 4
4 5 0
5 1 3
6 7 0
7 2 2
8 5 3
9 8 5
10 3 4
11 2 3
12 4 0