   Chapter 14, Problem 10P 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

The researchers cited in the previous problem also examined the weight/salary relationship for men and found a positive relationship, suggesting that we have very different standards for men than for women (Judge & Cable. 2010). The following arc data similar to those obtained for working men. Again, weight relative to height is coded in five categories from 1 = thinnest to 5 = heaviest. Income is recorded as thousands earned annually.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) 4 156 3 88 5 49 2 73 1 45 3 92 1 53 5 148

a.

To determine
The Pearson correlation of the given data.

Explanation

Given info:

The given data are shown below,

 Weight(X) Y 4 156 3 88 5 49 2 73 1 45 3 92 1 53 5 148

Calculation:

Formula to calculate the Pearson correlation is,

r=SPSSxSSY (1)

Where co variability of the variable x and y is SP, SSX is the variability of the x variable and SSY is the variability of the y variable.

Mean of the variable X is,

MX=4+3+5+2+1+3+1+58=248=3

Thus the mean of the variable X is 3.

Mean of the variable Y is,

MY=156+88+49+73+45+92+53+1488=7048=88

Thus the mean of the variable y is 88

For calculating SSx and SP the table is shown below,

 Sr

b.

To determine

To explain: The correlation is statistically significant or insignificant using two tail test at 5% level of significance.

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