**Statistics Exercise V: Correlation and Regression**

**These weekly exercises provide the opportunity for you to understand and apply statistical methods and analysis**. **Unless otherwise stated, use 5% (.05) as your alpha level (cutoff for statistical significance).**

**#1. ** What information does a correlation coefficient convey?

**#2.** State whether each of the following is an example of a positive correlation or a negative correlation.

- Higher education level is associated with a larger annual income.
- Increased testosterone is associated with increased aggression.
- The smaller the class size, the more students believe they are receiving a quality education.
- Rising prices of apples are associated with the sale of fewer apples.

**#3. ** Which is the predictor variable (*X*) and which is the criterion variable (*Y*) for each of the following examples?

- A researcher tests whether the size of an audience can predict the number of mistakes a student makes during a classroom presentation.
- A military officer tests whether the duration of an overseas tour can predict the morale among troops overseas.
- A social psychologist tests whether the size of a toy in cereal boxes can predict preferences for that cereal.

**Use SPSS and the data file found in syllabus resources (DATA540.SAV) to answer the following questions. Round your answers to the nearest dollar, percentage point, or whole number. **

**#4.** What is the regression equation that would best predict relationship happiness (HAPPY) from the Lifestyle (L) score?

a. HAPPY = L – .143

b. HAPPY = .23L – 4.5

c. HAPPY = .42L + .23

d. HAPPY = 4.47 – .018L

**#5. ** The Lifestyle score (L) measures the degree to which a participant desires a luxurious lifestyle. The Dependency score (D) measures the degree to which a participant expects others to provide financial support. Compute the correlation between these two variables. Which of the statements below best describes the relationship?

a. People who want a more frugal lifestyle tend to be more financially dependent.

b. People who want a more luxurious lifestyle tend to be more financially dependent.

c. People who want a more luxurious lifestyle tend to be less financially dependent.

d. There is no relationship between desired lifestyle and financial dependency.

**#6. ** What is the Pearson *r* correlation between participants’ ages and the age of their partners (AGE1, AGE2)?

a. .000

b. .413

c. .622

d. .822

**#7.** Look at the correlation between Risk-Taking (R) and Relationship Happiness (HAPPY). Use the standard alpha level of 5%. How would you describe the relationship?

a. The relationship is non-significant.

b. There is a significant negative relationship.

c. There is a significant positive relationship.

d. The correlation is zero.

**#8.** If you randomly chose someone from this sample, what is the chance that they described their relationship as either Happy or Very Happy?

a. 32%

b. 37%

c. 56%

d. 69%