Chapter 12, Problem 12.2P

$\boxed{SOC}$ Occupational prestige scores for a sample of fathers and their oldest son and oldest daughter are presented in the following table.

Family	Father’s Prestige	Son’s Prestige	Daughter’s Prestige
A	80	85	82
B	78	80	77
C	75	70	68
D	70	75	77
E	69	72	60
F	66	60	52
G	64	48	48
H	52	55	57

Analyze the relationship between father’s and son’s prestige and the relationship between father’s and daughter’s prestige. For each relationship,

a. Compute the slope (b) and find the Y intercept (a).

b. State the least-square regression line. What prestige score would you predict for a son whose father had a prestige score of 72? What prestige score would you predict for a daughter whose father has a prestige score of 72?

c. Compute $r$ and $r^2$.

d. Describe the strength and direction of each relationship in a sentence or two. Does the occupational prestige of the father have an impact on his children? Does it have the same impact for daughters as it does for sons?