In the Chapter Preview we discussed a study by Judge and Cable (2010) demonstrating a negative relationship between weight and income for a group of women professionals. The following are data similar to those obtained in the study. To simplify 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.   a. Calculate the Pearson correlation for these data. b. Is the correlation statistically significant? Use a two-tailed test with α = .05.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
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In the Chapter Preview we discussed a study by Judge and Cable (2010) demonstrating a negative relationship between weight and income for a group of women professionals. The following are data similar to those obtained in the study. To simplify 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.

 

a. Calculate the Pearson correlation for these data.
b. Is the correlation statistically significant? Use a two-tailed test with α = .05.

Weight (X)
Income (Y)
1
115
1
78
4
53
3
63
37
2
84
5
41
3
51
1
94
5
44
Transcribed Image Text:Weight (X) Income (Y) 1 115 1 78 4 53 3 63 37 2 84 5 41 3 51 1 94 5 44
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