In: Statistics and Probability
Answer the correlation questions using the data below. Use α =
0.05.
| x | y | 
|---|---|
| 7.1 4.8 5.9 3.1 4.9 6.1 3.9  | 
4.5 5.1 5.9 6.6 5.1 4.9 5.9  | 
a) Compute the correlation.
r =  
b) Compute the appropriate test statistic(s) for
H1: ρ > 0.
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0
c) Compute the corresponding effect size(s) and
indicate magnitude(s).
If not appropriate, input and/or select "na" below.
effect size =  ;  ---Select--- na trivial
effect small effect medium effect large effect
d) Make an interpretation based on the
results.
There is a significant positive relationship between x and y.
There is a significant negative relationship between x and y.
There is no significant relationship between x and y.

c) Effect size = r2 = -0.79682
d) There is a significant negative relationship between x and y.