   Chapter 14, Problem 9P Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

Judge and Cable (2010) report the results of a study demonstrating a negative relationship between weight and income for a group of women professionals. 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, from1 = 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) 1 125 2 78 4 49 3 63 5 35 2 84 5 38 3 51 1 93 4 44

a.

To determine

To Calculate: The value of Pearson correlation.

Explanation

Given info:

The study demonstrating a negative relationship between weights and income for a group of women professionals. The women are classified into 5 categories.

Calculation:

The Pearson correlation (r) is calculated as:

r=SP(SSx)×(SSy)

Here SP is calculated as:

SP=(XMx)(YMy)

Squared deviations SSx and SSy are calculated as:

SSx=(XMx)2 and SSy=(YMy)2

The below table showing the calculations required for calculating correlation:

 S.No

b.

To determine
Whether correlation is statistically significant or not.

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