gression following questions: Model Summary Adjusted R Square Std. Error of the Durbin- Model R R Square Estimate Watson .842. .710 .630 109.430 1.158 ΑNOVA Sum of Squares Model JP Mean Square F Sig. Regression 321946.82 3 107315.6 8.96 0.0027 Residual 131723.20 11 11974.8 Total 453670.00 14 Coefficients Standardized Coefficients Unstandardized Coefficients Model в Std. Error Beta Sig. (Constant) X Variable 1 X Variable 2 X Variable 3 657.053 167.46 3.92 .0024 5.7103 1.792 -.101 3.19 .0087 -0.4169 0.322 -.077 -1.29 2222 -3.4715 1.443 -7.996 -2.41 .0349
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.
At α-value=0.01, test whether there is a significant relationship between the
dependent variable (Y) and the independent variables (X1, X2 and X3).
![Based on the given multiple regression output tables below, answer the following
questions:
Model Summary
Adjusted R
Square
Std. Error of the
Estimate
Durbin-
Model
R
R Square
Watson
1
.842.
.710
.630
109.430
1.158
ANOVA
Sum of
Squares
Model
df
Mean Square
F
Sig.
Regression
321946.82
3
107315.6
8.96
0.0027
Residual
131723.20
11
11974.8
Total
453670.00
14
Coefficients
Standardized
Coefficients
Unstandardized Coefficients
Model
B
Std. Error
Beta
Sig.
(Constant)
657.053
167.46
3.92
.0024
X Variable 1
X Variable 2
X Variable 3
5.7103
1.792
-.101
3.19
.0087
-0.4169
0.322
-.077
-1.29
.2222
-3.4715
1.443
-7.996
-2.41
.0349](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F545cd8f2-002a-4fd9-8b6f-d7c23c272bcf%2Fcff57cb8-1645-437a-86cb-cb82ebe3b1e2%2Fri2dzq_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)