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?
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?
Phlebotomy Essentials
6th Edition
ISBN:9781451194524
Author:Ruth McCall, Cathee M. Tankersley MT(ASCP)
Publisher:Ruth McCall, Cathee M. Tankersley MT(ASCP)
Chapter1: Phlebotomy: Past And Present And The Healthcare Setting
Section: Chapter Questions
Problem 1SRQ
Related questions
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?
![Linear Regression
Model Summary - V5.24
Model
R
R
Adjusted R
RMSE
Но
0.000
0.000
0.000
1.057
0.629
0.395
0.309
0.879
ANOVA
Model
Sum of Squares
df
Mean Square
p
Regression
3.535
1
3.535
4.575
0.070
Residual
5.409
7
0.773
Total
8.944
8
Note. The intercept model is omitted, as no meaningful information can be shown.
Coefficients
Model
Unstandardized
Standard Error
Standardized
t
Но
(Intercept)
4.976
0.352
14.117
<.001
H1
(Intercept)
1.830
1.500
1.220
0.262
V10.94
0.318
0.149
0.629
2.139
0.070](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F855d312e-d3c4-46f8-aa8b-7f8b41f923b3%2Fa6aa2ab6-b938-4882-8750-890885955dad%2Ff88kdwk_processed.png&w=3840&q=75)
Transcribed Image Text:Linear Regression
Model Summary - V5.24
Model
R
R
Adjusted R
RMSE
Но
0.000
0.000
0.000
1.057
0.629
0.395
0.309
0.879
ANOVA
Model
Sum of Squares
df
Mean Square
p
Regression
3.535
1
3.535
4.575
0.070
Residual
5.409
7
0.773
Total
8.944
8
Note. The intercept model is omitted, as no meaningful information can be shown.
Coefficients
Model
Unstandardized
Standard Error
Standardized
t
Но
(Intercept)
4.976
0.352
14.117
<.001
H1
(Intercept)
1.830
1.500
1.220
0.262
V10.94
0.318
0.149
0.629
2.139
0.070
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