Judge and Cable (2010) reported the results of a study demonstrating a negative relationship between weight and income for a group of women professionals. To simply the weight variable, the women are classified into five categories that measure actual weight relative to height, from 1 = thinnest to 5 = heaviest. Income figures are annual income (in thousands), rounded to the nearest $1,000. Weight (X)Income (Y)1125278449363535284538351193444b. Compute the Pearson correlation for these data.c. What percentage of variance for the income is predicted from the weight for the women group?

Solution: From the given information,

Answered: Judge and Cable (2010) reported the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Judge and Cable (2010) reported the results of a study demonstrating a negative relationship between weight and income for a group of women professionals. To simply the weight variable, the women are classified into five categories that measure actual weight relative to height, from 1 = thinnest to 5 = heaviest. Income figures are annual income (in thousands), rounded to the nearest $1,000.

Weight (X)	Income (Y)
1	125
2	78
4	49
3	63
5	35
2	84
5	38
3	51
1	93
4	44

b. Compute the Pearson correlation for these data.

c. What percentage of variance for the income is predicted from the weight for the women group?

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