Output 2 SUMMARY OUTPUT Regression Statistics Multiple R 0.467707173 R Square Adjusted R Square 0.21875 0.0234375 1.653594569 Standard Error Observations 6 ANOVA df Significonce F SS MS F Regression 1 3.0625 3.0625 112 0.349594712 Residual 4 10.9375 2734375 Total 14 Coefficients Stondard Error L786086271 tStat P-volue Lower 95% Upper 95% Lower 95.0 Upper 95.0% Intercept 125 0.699854212 0.522582076 -3.708970484 6.208970484 -3.708970484 6.208970484 Control 0.4375 0.413398642 1.058300524 0.349594712 0.710278637 1.585278637 -0.710278637 1.585278637 Select the appropriate model below to determine the regression equation that you would use to predict job satisfaction using perceived level of control. JOB SATISFACTION .44 + 1.25 * CONTROL JOB SATISFACTION = 1.25 + .44 * CONTROL JOB SATISFACTION = -2.78 + .41 * CONTROL JOB SATISFACTION = -2.78 - .81 * GENDER + .11 * SALARY + .41 * CONTROL
Output 2 SUMMARY OUTPUT Regression Statistics Multiple R 0.467707173 R Square Adjusted R Square 0.21875 0.0234375 1.653594569 Standard Error Observations 6 ANOVA df Significonce F SS MS F Regression 1 3.0625 3.0625 112 0.349594712 Residual 4 10.9375 2734375 Total 14 Coefficients Stondard Error L786086271 tStat P-volue Lower 95% Upper 95% Lower 95.0 Upper 95.0% Intercept 125 0.699854212 0.522582076 -3.708970484 6.208970484 -3.708970484 6.208970484 Control 0.4375 0.413398642 1.058300524 0.349594712 0.710278637 1.585278637 -0.710278637 1.585278637 Select the appropriate model below to determine the regression equation that you would use to predict job satisfaction using perceived level of control. JOB SATISFACTION .44 + 1.25 * CONTROL JOB SATISFACTION = 1.25 + .44 * CONTROL JOB SATISFACTION = -2.78 + .41 * CONTROL JOB SATISFACTION = -2.78 - .81 * GENDER + .11 * SALARY + .41 * CONTROL
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:A colleague is conducting research on adults' job satisfaction as it relates
to gender, salary, and level of control felt over the work environment. Your
colleague has collected data from a random sample of adults. Salary is
measured in thousands of dollars. The control over one's work
environment and job satisfaction scales are measured by averaging sets of
items on a 0 to 7 point scale range, with low scores representing low
control and low job satisfaction and higher scores representing a greater
sense of control and job satisfaction.
Here are the data.
Gender
Salary
Control
Job Satisfaction
М
42
5
F
50
2
2
F
60
5
5
F
40
3
1
М
50
3
M
40
7
3
She is particularly interested in the relationship between job satisfaction
and the person's perceived level of control.
She ran two regressions on the data, both of which are presented below.
Output 1
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.676024239
RSquare
0.457008771
Adjusted R Square
-0.357478071
Standard Error
19495996
Observations
6
ANOVA
df
MS
Significonce F
Regression
Residual
3
6.3981228
21327076
0.56110025
0.691050993
7.6018772
3.8009386
Total
14
Coefficients Stondard Error
tStat
P-volue
Lower 95%
Upper 95%
Lower 95.0%
Upper 95.0%
Intercept
-2779429018
6.087490533
-0.456580426
0.6927641
-28.97178678 23.41292874
-28.97178678 23.41292874
Gender
-0.806804849
1900567068
-0.424507434 0.712500907
8.984284934 7.370675235
-8.984284934 7.37065235
Salary
0.114000782
0.121921434
0.935034786 0,448478468
-0.41058481 0.638586374
-0.41658481
0.638586374
Control
0.407899883
0.534232958
0.763524369
0.524923908
-1.890719014 270651879
-1.890719014 2706518779

Transcribed Image Text:Output 2
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.467707173
R Square
Adjusted R Square
0.21875
0.0234375
1.653594569
Standard Error
Observations
6
ANOVA
df
Significonce F
SS
MS
F
Regression
1
3.0625
3.0625
112
0.349594712
Residual
4
10.9375
2734375
Total
14
Coefficients Stondard Error
L786086271
tStat
P-volue
Lower 95%
Upper 95%
Lower 95.0
Upper 95.0%
Intercept
1.25
0.699854212
0.522582076
-3.708970484 6.208970484
-3.708970484
6.208970484
Control
0.4375
0.413393642
1.058300524 0.349594712
0.710278637 1.585278637
-0.710278637 1.585278637
Select the appropriate model below to determine the regression equation
that you would use to predict job satisfaction using perceived level of
control.
JOB SATISFACTION
.44 + 1.25 * CONTROL
JOB SATISFACTION = 1.25 + .44 * CONTROL
JOB SATISFACTION = -2.78 + .41 * CONTROL
JOB SATISFACTION = -2.78 - .81 * GENDER + .11 * SALARY + .41 *
CONTROL
Expert Solution

Step 1
Using Coefficients column in Output we obtain the required regression equation.
In Output 2, intercept = 1.25
Coefficient of Control = 0.4375 = 0.44
Required regression equation between Job satisfaction and perceived level of control is,
Job satisfaction = 1.25 + 0.44* Control
Step by step
Solved in 2 steps
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