Judge and Cable (2010) report the results of a study demonstrating a negative relationship between weight and income for a group of men. Following are data similar to those obtained in the study. To simplify the weight variable, the men 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. Weight Income 4 151 5 88 3 52 2 73 1 49 3 92 1 56 5 143
Judge and Cable (2010) report the results of a study demonstrating a negative relationship between weight and income for a group of men. Following are data similar to those obtained in the study. To simplify the weight variable, the men 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. Weight Income 4 151 5 88 3 52 2 73 1 49 3 92 1 56 5 143
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Judge and Cable (2010) report the results of a study demonstrating a negative relationship between weight and income for a group of men. Following are data similar to those obtained in the study. To simplify the weight variable, the men 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.
Weight
|
Income
|
---|---|
4 | 151 |
5 | 88 |
3 | 52 |
2 | 73 |
1 | 49 |
3 | 92 |
1 | 56 |
5 | 143 |
Complete the following table:
∑X
|
∑Y
|
∑XY
|
SSXX
|
SSYY
|
SP
|
---|---|---|---|---|---|
|
|
|
|
|
|
Compute the Pearson correlation .
Is the correlation statistically significant? Use a two-tailed test with α = .05. (Calculate the following using the r value found above and round your answers to three decimal places for srr and to two decimal places for t and tcriticalcritical.)
srr
|
t
|
tcriticalcritical
|
---|---|---|
|
|
±
|
t Distribution
Degrees of Freedom = 21
-3.0-2.0-1.00.01.02.03.0t
The correlation statistically significant.
Expert Solution
Step 1
We have given that
Weight | 4 | 5 | 3 | 2 | 1 | 3 | 1 | 5 |
Income | 151 | 88 | 52 | 73 | 49 | 92 | 56 | 143 |
Then we have to compute Pearson correlation coefficient between Weight (X) and Income (Y)...
Then we have to test the hypothesis for the claim that correlation between X and Y is significant or not....
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman