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

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, 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)
1 125
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.

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

Find the exact values. (a) tan(/3) (b) sin(7/6) (c) sec(5/3)

Single Variable Calculus: Early Transcendentals, Volume I

Cost of PRODUCING DVDs TMI, a manufacturer of blank DVDs, has a monthly fixed cost of 12,100 and a variable cos...

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

State the domain and range of each of the function in Problems 25 – 28. 28. .

Mathematical Applications for the Management, Life, and Social Sciences

The graph of x = 2 + 3t, y = 4 − t is a: circle ellipse line parabola

Study Guide for Stewart's Multivariable Calculus, 8th

Sometime, Always, or Never:

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

In Exercises 17 to 22, factor completely. 6y2-54

Elementary Geometry for College Students