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%

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