The human resource manager of company wanted to know how the Performance of the workers depend on Environment, Value, Motivation and Remuneration. He selected 100 workers randomly and used a questionnaire to obtain the scores on their perceived Environment, Value, Motivation and Remuneration. The final score on each variable ranged from 1 to 10, where a high score is supposed to be associated with high performance. In the study, the key performance index (KPI) was used as the indicator of worker performance. The following are some of the outputs from SPSS. 1. State and explain the association between Performance and the four variables. 2. Compute the R-square value and interpret it.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
The human resource manager of company wanted to know how the Performance of the workers depend on Environment, Value, Motivation and Remuneration. He selected 100 workers randomly and used a questionnaire to obtain the scores on their perceived Environment, Value, Motivation and Remuneration. The final score on each variable
1. State and explain the association between Performance and the four variables.
2. Compute the R-square value and interpret it.
![Table 13
1
2
3
4
1. Performance
1.000
.559
.701
.256
.192
2. Environment
.559
1.000
.067
.034
.448
Pearson
3. Value
4. Motivation
5. Remuneration
.701
.067
1.000
.241
.055
Correlation
.256
.034
.241
1.000
.177
.192
.448
.055
.177
1.000
Table 14
Model
Sum of
df
Mean
F
Sig.
Squares
12353.575
Square
3088.394 165.249
Regression
4
.000
Residual
3644.425
195
18.689
Total
15998.000
199
a. Dependent Variable: Performance
5.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fadfa7c97-e0e0-49e4-a1d0-fa4aa484df01%2F08e73d8b-e215-4d44-bec4-4be179e03caa%2Fjk65v81_processed.jpeg&w=3840&q=75)
![Table 15
Collinearity
Unstandardized Standardized
Coefficients
B
Model
t
Sig.
Coefficients
Statistics
SE
Beta
Tolerance VIF
-2.03 .043
14.40 .000
18.12 .000
2.99 .003
1.82 .070
(Constant)
-6.994
3.432
.552
.796 1.256
.931 1.074
.904 1.106
.768 1.301
Environment
3.578
.248
Value
7.680
.424
.642
Motivation
1.257
.419
.108
Remuneration
.403
.221
.071](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fadfa7c97-e0e0-49e4-a1d0-fa4aa484df01%2F08e73d8b-e215-4d44-bec4-4be179e03caa%2Fp4y95r_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)