In: Statistics and Probability
Remember to SHOW ALL YOUR WORK, and INCLUDE ALL STEPS for hypothesis tests.
1. A sociologist is investigating the relationship between life satisfaction and sociability. For a sample of 16 individuals, the following data is obtained:
SP = 5.14
Sociability: M=10.62 SS=5.12 Life Satisfaction: M=9.53 SS=7.24
a. Compute the correlation between sociability and life
satisfaction.
b. What can be said about the nature of the relationship between
these two variables? c. Compute the coefficient of determination.
What does this value tell you?
d. Conduct a hypothesis test to determine if the correlation is
significant.