Answered: Perform a linear regression to examine…

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Perform a linear regression to examine the relationship between these variables. What do the results mean?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 11PPS

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Question

A researcher is examining the relationship between stress levels and performance on a test of cognitive performance. She hypothesizes that stress levels lead to an increase in performance to a point, and then increased stress decreases performance. She tests 10 participants who have the following levels of stress:

10.94

12.76

7.62

8.17

7.83

12.22

9.23

11.17

11.88

8.18

When she tests their levels of mental performance, she finds the following cognitive performance scores (listed in the same participant order as above):

5.24

4.64

4.68

5.04

4.17

6.20

4.54

6.55

5.79

3.17

Perform a linear regression to examine the relationship between these variables. What do the results mean?

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