Question

In: Statistics and Probability

Answer the correlation questions using the data below. Use α = 0.05. x y 7.1 4.8...

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.

Solutions

Expert Solution

c) Effect size = r2 = -0.79682

d) There is a significant negative relationship between x and y.     


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