Question

1. Use the following information to answer items 23 - 27.

   n = 227, α = .05, two-tailed

   df = n - 2

   Relationship	r
   Self-Esteem and Depression	- 0.372
   Self-Esteem and Social Connectedness	0.414
   Depression and Social Connectedness	- 0.619

   
   
   

   What is the value of the correlation coefficient for the relationship between Depression and Self-Esteem?

QUESTION 24

1. Using Chart B4, what is the critical r for this study?

QUESTION 25

1. Would you reject the null hypothesis for the relationship between Depression and Social Connectedness?  

QUESTION 26

1. How much of the variance is explained by the relationship between Depression and Self-Esteem?

QUESTION 27

1. Write up the summary statement for the relationship between Self-Esteem and Social Connectedness:

   r() = , p  .05, r² =

Answer 1

The correlation coefficient value Depression and Self-Esteem is,

Relationship	r
Self-Esteem and Depression	-0.372

24)

The critical value for the correlation coefficient for degree of freedom = n-2=227-2=225 is obtained from correlation coefficient critical value table

25)

Since the correlation coefficient value is greater than r-critical value, the null hypothesis is rejected. Hence there is a significant correlation is between Depression and Self-Esteem.

26)

The r-square value gives the value of variance explained by the relationship between Depression and Self-Esteem.

Hence 13.84% variance is explained by the relationship between Depression and Self-Esteem.

27)

The correlation coefficient value between Self-Esteem and Social Connectedness is,

Relationship	r
Self-Esteem and Social Connectedness	0.414

The critical value for the correlation coefficient for degree of freedom = n-2=227-2=225 is obtained from correlation coefficient critical value table

Since the correlation coefficient value is greater than r-critical value, the null hypothesis is rejected. Hence there is a significant correlation is between Self-Esteem and Social Connectedness.

And the r-square value is,

Hence, the total variance explained by the relationship between Self-Esteem and Social Connectedness is 17.14%