stress

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 10RE: Does the following table represent a linear function ? If so, find the linear equation that models...
icon
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 v
Model Summary - V10.94
Model
Adjusted R-
R
R
RMSE
Họ
0.000
0.000
0.000
2.091
ANOVA
Model
Sum of Squares
df
Mean Square
F
p
Note. There is only an intercept model, no meaningful information can be shown.
Coefficients
Model
Unstandardized
Standard Error
Standardized
Họ
(Intercept)
9.896
0.697
14.197
<.001
Transcribed Image Text:Linear Regression v Model Summary - V10.94 Model Adjusted R- R R RMSE Họ 0.000 0.000 0.000 2.091 ANOVA Model Sum of Squares df Mean Square F p Note. There is only an intercept model, no meaningful information can be shown. Coefficients Model Unstandardized Standard Error Standardized Họ (Intercept) 9.896 0.697 14.197 <.001
Linear Regression
Model Summary - V5.24
Model
R
Adjusted R
RMSE
Ho
0.000
0.000
0.000
1.080
ANOVA
Model
Sum of Squares
df
Mean Square
F
Note. There is only an intercept model, no meaningful information can be shown.
Coefficients
Model
Unstandardized
Standard Error
Standardized
t
p
Но
(Intercept)
4.933
0.360
13.706
<.001
Transcribed Image Text:Linear Regression Model Summary - V5.24 Model R Adjusted R RMSE Ho 0.000 0.000 0.000 1.080 ANOVA Model Sum of Squares df Mean Square F Note. There is only an intercept model, no meaningful information can be shown. Coefficients Model Unstandardized Standard Error Standardized t p Но (Intercept) 4.933 0.360 13.706 <.001
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning