Assignment 8

Solve the following:

1. A student wonders if tall women tend to date taller men than shorter women do.

Here are the heights in inches of 6 randomly selected couples.

Women (X) 66 64 66 65 70 65

Men (Y) 72 68 70 68 71 65

Calculate the Correlation Coefficient

2. Researchers study relations among personality variables and various behaviors. In this example, psychologists studied a sample of 104 adolescents high school students in Quezon City. The researchers assessed a personality variable called "agreeableness" using a standard personality questionnaire. This is a measure of how nice that person is to be around. The questions ask about how cheerful, stubborn, polite, bossy, and cooperative the person is. Each adolescent's average of those items is reported.

They also created a measure of behavior problems. The youths reported on various behaviors in the last six months, including cheating, swearing, stealing, and fighting. Each adolescent's sum of behavior problems is reported.

This table shows a representative sample of 10 participants, but keep in mind that they had 104 adolescents in their sample. Compute correlation coefficient.

Participant	Agreeableness rating	Behavior problems
#2	4.3	5
#15	3.0	22
#22	3.4	10
#31	3.3	12
#44	2.9	23
#50	4.0	21
#63	4.7	2
#79	2.4	35
#90	2.9	12
#100	4.7	4

Quiz 8

1. The following formula