# Coefficeint of Correlation and Coefficient of Determination

In a study of a 130 female college undergraduates and their parents, each triad of daughter, mother and father completed the UCLA loneliness scale.

a. The correlation between daughter's loneliness score y and mother's loneliness score x was determined to be r = 0.26.

b. The correlation between daughter's loneliness score y and father's loneliness score x was determined to be r = 0.19.

c. The correlation between daughter's loneliness score y and mother's self-esteem score x was determined to be r = 0.14.

d. b. The correlation between daughter's loneliness score y and father's assertiveness score x was determined to be r = 0.01.

e. Calculate the coefficient of determination r2 for parts a-d. Interpret the results.

See attached file.

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In a study of a 130 female college undergraduates and their parents, each triad of daughter, mother and father completed the UCLA loneliness scale.

a. The correlation between daughter's loneliness score y and mother's loneliness score x was determined to be r = 0.26.

b. The correlation between daughter's loneliness score y and father's loneliness score x was determined to be r = 0.19.

c. The correlation between daughter's loneliness score y and mother's self-esteem score x was determined to be r = 0.14.

d. b. The correlation between daughter's loneliness score y and father's assertiveness score x was determined to be r = 0.01.

e. Calculate the coefficient of determination r2 for parts a-d. Interpret the results.

Answers

a. Since the correlation coefficient is positive, there is a positive relationship exists between the daughter's loneliness score and mother's loneliness score. A positive correlation coefficient means that as the value of one variable increases, the value of the ...

#### Solution Summary

The solution provides step by step method for the calculation of coefficient of determination. The solution also provides interpretation of coefficient of correlation and coefficient of determination.