Question

The statement says: You find a partial report of a sturdy that investigated the relationship between self esteem and depression. You see they conducted a one-tailed Pearson’ se correlation with 52 people, and that the r = -0.25, calculate and report the coefficient of determinationWhat is the coefficient of determination of person’s correlation with 52 people and that the r = -0.25What is the degrees of freedom?

Answer 1

Given:

Sample size, n = 52

correlation coefficient, r = -0.25

Let's find the coefficient of determination of the person's correlation.

To find the coefficient of determination, we have:

coefficient of determination = r²

Thus, we have:

coefficient of determination = r² = -0.25² = 0.0625

Therefore, the coefficient of determination is 0.0625

To find the degrees of freedom, apply the formula:

df = n - 2

Where

df is the degrees of freedom

n is the sample size = 52

Hence, we have:

df = 52 - 2 = 50

The degrees of freedom is = 50

ANSWER:

• Coefficient of determination = 0.0625

,

• Degrees of freedom = 50