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    Coefficeint of Correlation and Coefficient of Determination

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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.

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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.

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