Question

Conduct correlation and simple linear regression

Imagine some data collected by a marriage therapist, Dr. Paik, who was interested in seeing whether there was a relationship between gender role flexibility and marital satisfaction. Gender role flexibility refers to the ability to express both male and female traits. Dr. Paik wanted to find out if women’s marital satisfaction correlated with how gender role flexible their husbands were.

To measure gender role flexibility, he used the Role Flexibility Test (RFT). The RFT is scored on an interval level and scores range from 0 to 40. Higher scores mean more role flexibility.

To measure marital satisfaction, he asked the women to grade their husbands A-F on a number of dimensions. He averaged these grades together, and then he calculated a marital “GPA.” Just like an academic GPA, a marital GPA ranges from 0 to 4, with 0 = F and 4 = A.

Dr. Paik obtained a random sample of eight heterosexual married couples from his city and measured two characteristics for each couple. X was the husband’s level of gender role flexibility, Y was the wife’s rating of marital satisfaction.

Dr. Paik wants to know if there is a relationship between the two variables. Data are given below:

Gender role flexibility	Marital Satisfaction
8	0.8
15	2.0
22	1.5
31	2.3
35	1.5
38	3.3
15	1.5
36	3.1
Xbar = 25.00	Ybar = 2.00

SP = 52.70

SSx = 924.00

SSy = 5.18

SStotal = 5.18

SSerror = 2.17

SSregression = 3.005

Correlation

C.1. Create a scatterplot of the relationship gender role flexibility and marital satisfaction. You can create the graph by hand if you don’t know how to do it using a computer software.

C.2. State the null hypothesis we will be testing in looking at the relationship between the two variables.

C.3. What is the critical value we will use to make a decision on the null hypothesis (use a = .05). Remember to specify the df.

C.4. Calculate the test statistic.

C.5. What is your conclusion? Is there a statistically significant relationship gender role flexibility and marital satisfaction?

Answer 1