Question: What does a correlation assess? What are the three characteristics of a correlation coefficient? What is the difference between covariance and correlation? Why is it

  1. What does a correlation assess?
  2. What are the three characteristics of a correlation coefficient?
  3. What is the difference between covariance and correlation?
  4. Why is it important to visualize correlational data in a scatter plot before performing analyses?
    1. What sort of relationship is displayed in the scatter plot below?

("Scatter Plot in Exercises" by Judy Schmitt is licensed underCC BY-NC-SA 4.0.)

  1. What is the direction and magnitude of the following correlation coefficients?
    1. .81
    2. .40
    3. .15
    4. .08
    5. .29
  2. A scatter plot with the following data:

Hours Studying

Overall Class Performance

0.62

2.02

1.50

4.62

0.34

2.60

0.97

1.59

3.54

4.67

0.69

2.52

1.53

2.28

0.32

1.68

1.94

2.50

1.25

4.04

1.42

2.63

3.07

3.53

3.99

3.90

1.73

2.75

1.29

2.95

  1. In the following correlation matrix, what is the relationship (number, direction, and magnitude) between
    1. Pay and Satisfaction
    2. Stress and Health

WORKPLACE

Pay

Satisfaction

Stress

Health

Pay

1.00

Satisfaction

.68

1.00

Stress

.02

.23

1.00

Health

.05

.15

.48

1.00

  1. Using the data from Problem 7, test for a statistically significant relationship between the variables.
  2. Researchers investigated mother-infant vocalizations in several cultures to determine the extent to which such vocal interactions are true for all humans or culture-specific. They thought that mothers who talked more would have babies who vocalized (babbled) more. They observed mothers and infants for 50 minutes and recorded the number of times the mother spoke and the baby vocalized during the observation session. Data below are for 10 mother-infant pairs in Cameroon. Test the hypothesis at thea= .05 level using the four-step hypothesis testing procedure.

Mother Spoke

Baby Vocalized

80

110

60

110

120

100

100

130

100

140

90

115

80

150

40

130

80

95

50

50

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