1. Occupational prestige scores for a sample of fathers and their oldest son and oldest daughter are presented below. Analyze the relationship between father's and son's prestige and the relationship between father's and daughter's prestige. For each relationship:
   1. Compute the slope and find the intercept.
   2. State the least-squares 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 had a prestige score of 72?
   3. Computer andr².
   4. Assume these families are a random sample and conduct a test of significance for both relationships.
   5. Describe the strength and direction of the relationships 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?

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

1. (15 pts) In Dave Eggers' novel The Circle, a mysterious technology company has developed a strangely data-driven work environment in which employees are assigned a performance score that seems to be the product of factors in their social activities and environment, such as the extent of their engagement in work community and the number of times they post on the company's social media site. Using the fictional data below, computer andr² for each combination of two variables from this novel and test the correlations for their significance. paragraph interpreting the relationships between these variables, and what they might mean for the company.

Employee	Community Engagement	Number of Social Media Posts	Performance Score
A	33	9	36
B	78	15	60
C	62	18	64
D	50	10	56
E	45	12	55
F	56	8	52
G	85	20	25
H	25	0	42
I	13	5	89
J	33	9	88

1. (15 pts) A health researcher is interested in the association between peer pressure and electronic cigarette usage among adolescents. In her survey of adolescent electronic cigarette users, she has found the data below on the percentage of friends that are vaping and the number of electronic cigarette pods consumed per month. Determine the size and the direction of the correlation.

Person Number	Percent of Vaping Friends	Number of Pods per Month
1	50	10
2	65	10
3	63	12
4	45	12
5	50	8
6	21	10
7	20	8
8	6	9

Please help me learn.