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
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
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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....
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