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
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
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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....
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