BuyFindarrow_forward

Essentials of Statistics for the B...

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

Solutions

Chapter
Section
BuyFindarrow_forward

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.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

In Exercises 110, evaluate the expression. P(10,4)C(12,6)

Finite Mathematics for the Managerial, Life, and Social Sciences

In Exercises 11-14, factor the expression. x23x+2

Calculus: An Applied Approach (MindTap Course List)

x3a+b3

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Solve the equations in Exercises 126. 1x9x3=0

Finite Mathematics and Applied Calculus (MindTap Course List)

The center of 4x2 + 8x − 3y2 + 12y + 4 = 0 is (1, −2) (−1, 2) (2, −1) (−2, 1)

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th