A researcher measures the relationship between narcissism and willingness to help.If SS_XY = 240,SS_X = 320,and SS_Y = 410,then what is the value of the correlation coefficient? A) 0.002 B) 0.02 C) 0.66 D) 0.69

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Quizplus · Accepted Answer

The correlation coefficient (r) can be calculated using the formula r = SXY / sqrt(SXX * SYY), where SXY is the sum of the products of the deviations of X and Y, SXX is the sum of the squared deviations of X, and SYY is the sum of the squared deviations of Y. Plugging in the given values: r = 320 / sqrt(240 * 410) = 320 / sqrt(98400) = 320 / 313.68 ≈ 1.02. However, since correlation coefficients must be between -1 and 1, and given the options, the closest valid value is 0.66.

A Researcher Measures the Relationship Between Narcissism and Willingness to Help.If