Determine the direction of relationship between the following pairs of variables. Is it positive, negative, or zero? 1. Speed and mileage of a car 2. Extent of fatigue and performance in a speed test 3. Income and educational attainment of employees 4. Sense of humor and shoes size of persons 5. Ages of husbands and wives
Determine the direction of relationship between the following pairs of variables. Is it positive, negative, or zero? 1. Speed and mileage of a car 2. Extent of fatigue and performance in a speed test 3. Income and educational attainment of employees 4. Sense of humor and shoes size of persons 5. Ages of husbands and wives
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Correlation and Regression Analysis
Determine the direction of relationship between the following pairs of variables. Is it
positive, negative, or zero?
1. Speed and mileage of a car
2. Extent of fatigue and performance in a speed test
3. Income and educational attainment of employees
4. Sense of humor and shoes size of persons
5. Ages of husbands and wives
Given the value of 5, describe the relationship in terms of strength and direction.
1. R= 0.86
2. R= 0.35
3. R= 0.65
4. R= -0.56
5. R= 0.72
The following data show the typing speed and the reading speed of nine
secretaries.
Typing Speed
(words per minute)
Reading Speed
(words per minute)
Y
60
370
56
551
52
528
63
348
70
645
58
454
44
503
79
618
62
500
a.
Construct a scatter plot for this data.
b. Compute the correlation coefficient r.
С.
Test the significance of r at a = 0.05.
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54d2ec66-312d-4899-bed9-81d2edf678bf%2F8500f6f6-e90d-423f-85f6-e8259e5b3a43%2Fitvw8pb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Correlation and Regression Analysis
Determine the direction of relationship between the following pairs of variables. Is it
positive, negative, or zero?
1. Speed and mileage of a car
2. Extent of fatigue and performance in a speed test
3. Income and educational attainment of employees
4. Sense of humor and shoes size of persons
5. Ages of husbands and wives
Given the value of 5, describe the relationship in terms of strength and direction.
1. R= 0.86
2. R= 0.35
3. R= 0.65
4. R= -0.56
5. R= 0.72
The following data show the typing speed and the reading speed of nine
secretaries.
Typing Speed
(words per minute)
Reading Speed
(words per minute)
Y
60
370
56
551
52
528
63
348
70
645
58
454
44
503
79
618
62
500
a.
Construct a scatter plot for this data.
b. Compute the correlation coefficient r.
С.
Test the significance of r at a = 0.05.
%3D
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