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PRESENTATION
2024
A HANDS-ON GUIDE WITH ECONOMIC DATA
www.tutorhelpdesk.com
CONDUCTING
REGRESSION ANALYSIS
USING
SPSS
Introduction
Regression analysis is a technique of great
importance that aims at analyzing the
correlations of variables, which are used mostly in
economics, medicine, social sciences, etc. This ppt
will explain how to undertake a regression
analysis using SPSS with an economic dataset as
our example. More precisely, the unemployment
rate and GDP data will be used to analyze the
relationship between economic growth
(measured by GDP) and unemployment.
In general, regression analysis provides a
relation between the dependent variable
and one or more independent variables. The
simplest form is the linear regression which
plots a straight line through the data points
so as to minimize the error between the
predicted, and actual values. Multiple
regression for instance allows for the use of
several predictors in the analysis.
Regression analysis helps in:
01
02
What is Regression Analysis?
Predicting outcomes: It
enables to predict the value
of the dependent variable on
the basis of the independent
variables.
Understanding relationships:
Correlation goes further
since it measures the extent
and direction of a
relationship between two or
more variables.
Hypothesis testing: It allows
you to hypothesize about
whether several variables
have a significant effect on
other variables.
03
WHY SPSS FOR
REGRESSION ANALYSIS?
It also has an easy-to-use graphical user interface and an exhaustive suite
for doing regression on SPSS without requiring any intensive
programming. SPSS users can carry out computations ranging from
descriptive statistics to comprehensive statistical analysis and modeling
best suited for novices and experts.
HOW TO PERFORM
REGRESSION ANALYSIS?
Simple Guide Using SPSS
For this demonstration, we will use a hypothetical economic dataset that contains two key
variables:
Unemployment Rate:
The dependent variable that we propose to forecast
is the one that any shift in GDP is expected to
impact.
GDP (Gross Domestic Product):
The independent variable, which is also known
as the economic output of a country.
STEP 1: PREPARE THE
DATASET
One important step you should take before
employing any tools of analysis is to check that
your data is clean, formatted correctly, and capable
of supporting regression analysis.
Here is a sample of our dataset:
Loading Data into SPSS:
Select the file option on SPSS software and click
open data then locate your data set in the .sav, xls,
or CSV format. Check that you have used the
appropriate variable name. For demonstration let
us label the “GDP” column as the independent
variable and “Unemployment Rate” as the
dependent variable.
Country
Year
GDP
(in
trillions)
Unemployment
Rate (%)
USA 2019 21.4 3.7
Canada 2019 1.84 5.7
Germany
2019 3.86 3.1
Japan 2019 5.08 2.4
UK 2019 2.83 3.8
STEP 2: VISUALIZE THE
DATA
Before running the regression, it's important to explore
the data visually.
1. Scatter Plot:
⚬ Go to Graphs > Legacy Dialogs > Scatter/Dot.
⚬ Select "Simple Scatter" and click "Define".
⚬ Place "GDP" on the X-axis and "Unemployment
Rate" on the Y-axis.
⚬ Click "OK" to generate the scatter plot.
You can be able to make an early decision in terms of
positive, weak, strong, or no relationship at all by just
looking at this scatter plot. If you see a downward-
sloping trend, that might indicate a negative
relationship: You can notice a reverse relation which
means that employment decreases as the GDP
increases.
STEP 3: CONDUCT THE
REGRESSION ANALYSIS
Now, let's run the linear regression analysis.
1. Access the Regression Menu:
⚬ Go to Analyze > Regression > Linear.
2.Specify Variables:
⚬ Place "Unemployment Rate" in the "Dependent"
box and "GDP" in the "Independent(s)" box.
3.Options:
⚬ You can leave the default options as they are or
explore additional features such as confidence
intervals, Durbin-Watson tests for
autocorrelation, or saving residuals for further
analysis.
4.Run the Regression:
⚬ Click "OK" to run the regression analysis.
STEP 4: INTERPRET THE RESULTS
MODEL SUMMARY
The R Square value shows
the extent up to which the
independent variable has
explained the dependent
variable. For instance, if the
obtained R Square is 0.65
this implies that 65 percent
of the variance in
unemployment can be
explained by changes in
GDP.
Model Summary:
R Square = 0.65
Adjusted R Square = 0.64
ANOVA TABLE
The ANOVA table checks if
the regression model is
significantly better in
outcome variable prediction
than a model which has no
predictors. The significance
value or p-value in the ANOVA
table shows the overall
significance of the model.
Model is significant when the
p-value is less than 0.05.
ANOVA:
F = 34.56
Significance (p-value) = 0.002
Once the analysis is complete, SPSS will generate several tables. Here's how to interpret
the key ones:
SIGNIFICANCE OF THE PREDICTOR
a. The Sig. (p-value) in the
coefficients table tests
whether the individual
predictor (GDP) is
statistically significant.
b. A p-value less than 0.05
indicates that GDP is a
significant predictor of
unemployment.
Coefficients:
GDP Coefficient = -0.45
p-value = 0.001
STEP 4: INTERPRET THE RESULTS (CONTD.)
COEFFICIENTS TABLE
a. This table provides the regression coefficients, which are used to
construct the regression equation.
b. The Unstandardized Coefficients column contains the values for the
intercept (constant) and the slope (GDP).
c. The regression equation can be written as:
Unemployment Rate=β0​+β1​×GDP
Suppose the table provides the following values:
i. Constant (Intercept): 5.8
ii. GDP (Slope): -0.45
This gives us the equation:
Unemployment Rate=5.8−0.45×GDP
This equation suggests that for every additional trillion dollars in GDP, the
unemployment rate decreases by 0.45 percentage points.
STEP 5: EVALUATE
MODEL ASSUMPTIONS
For linear regression, several assumptions
need to be met:
1. Linearity: The graph of the independent
and dependent variables must be a straight
line.
2. Independence of Errors: The residuals
(errors) should be independent.
3. Homoscedasticity: The residuals should
be of equal variance in each of the level of
the independent variable.
4. Normality of Residuals: The residuals
should be randomly distributed.
To check these assumptions in SPSS:
• Linearity: You can examine the
scatterplot. Based on our expectation we
should be able to observe a linear
correlation between the GDP and the
unemployment rate.
• Independence and Homoscedasticity:
You can select ‘Standardized Residuals’
from the drop-down ‘SCALE’ (Analyze >
Regression > Linear > Save) and then
determine if the residuals seem to have
any particular pattern.
• Normality: To make sure that the
assumptions are met, a histogram or Q-Q
plot of the residuals should be created by
going to Graphs> Legacy Dialogs >
Histogram.
STEP 6: REPORTING THE
RESULTS
When reporting the results of your
regression analysis, you should include the
following information:
1. The regression equation: Y=5.8−0.45×GDP
2. The R-squared value: Indicating how
much variance in the unemployment rate is
explained by GDP.
3. The significance levels (p-values):
Regarding the total proposed model and
each of the individual predictors
Example of a report statement:
To achieve this, a straightforward linear
regression was run on the variables of
GDP to arrive at a forecast of the
unemployment rate. The findings reveal
that GDP has a significant correlation
with the unemployment rate (r = -0.45,
p = 0.001) and accounts for 65% of the
variance, based on the model. The
regression equation shows that,
unemployment is inversely related to
GDP, and for every one trillion dollars
rise in the GDP the unemployment rate
declines by 0.45 percentage points.
Using regression analysis on large and
complicated data might prove to be a
challenge to learners working on
assignments, thesis, or research. As we
know, SPSS makes the job nearly
effortless but complex data structures,
multicollinearity, outliers, and
assumptions such as homoscedasticity
or normality are not trivial to handle.
Our SPSS Assignment Help allows
students to deal with these issues by
getting professional assistance to
analyze data correctly, create
comprehensive reports, and adhere to
academic requirements. Whether
you’re working with big economic
datasets, social science variables, or
multivariate models,
our experts help you:
WHY SPSS ASSIGNMENT
HELP IS NEEDED FOR
COMPLEX REGRESSION
ANALYSIS?
1. Pre-process
big data.
2. Understand
complex outputs
like ANOVA,
coefficients, and
residuals of a
variable.
3. Ensure
compliance
with regression
assumptions.
4. Develop clear
and concise
academic
reports that
meet your
institution's
requirements.
CONCLUSION
KEY TAKEAWAYS
We offer you individual coaching
to prevent the misuse of time,
avoid pitfalls, and receive only the
best results, making your output
distinctive.
Conducting regression analysis
using SPSS is a straightforward
process once you understand the
key steps: Prepare the dataset,
visualize the relationship, perform
a test run of analysis, and state
observations from the analytical
output. Looking at our example,
we get to establish the fact that
there is some negative
relationship between the GDP
and the unemployment rate,
something that makes economic
sense. SPSS simplifies the above
discussed steps in such a way
that it can explain regression
analysis to those who have no
statistical background.
Opt for our SPSS regression help
services where we ensure that you
fully understand how to execute a
successful process to achieve the
best results in your coursework!
+1-6178070926 | hw@tutorhelpdesk.com
www.tutorhelpdesk.com
THANK YOU
TUTORHELPDESK.COM

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Conducting Regression Analysis Using SPSS: A Hands-On Guide with

  • 1. PRESENTATION 2024 A HANDS-ON GUIDE WITH ECONOMIC DATA www.tutorhelpdesk.com CONDUCTING REGRESSION ANALYSIS USING SPSS
  • 2. Introduction Regression analysis is a technique of great importance that aims at analyzing the correlations of variables, which are used mostly in economics, medicine, social sciences, etc. This ppt will explain how to undertake a regression analysis using SPSS with an economic dataset as our example. More precisely, the unemployment rate and GDP data will be used to analyze the relationship between economic growth (measured by GDP) and unemployment.
  • 3. In general, regression analysis provides a relation between the dependent variable and one or more independent variables. The simplest form is the linear regression which plots a straight line through the data points so as to minimize the error between the predicted, and actual values. Multiple regression for instance allows for the use of several predictors in the analysis. Regression analysis helps in: 01 02 What is Regression Analysis? Predicting outcomes: It enables to predict the value of the dependent variable on the basis of the independent variables. Understanding relationships: Correlation goes further since it measures the extent and direction of a relationship between two or more variables. Hypothesis testing: It allows you to hypothesize about whether several variables have a significant effect on other variables. 03
  • 4. WHY SPSS FOR REGRESSION ANALYSIS? It also has an easy-to-use graphical user interface and an exhaustive suite for doing regression on SPSS without requiring any intensive programming. SPSS users can carry out computations ranging from descriptive statistics to comprehensive statistical analysis and modeling best suited for novices and experts.
  • 5. HOW TO PERFORM REGRESSION ANALYSIS? Simple Guide Using SPSS For this demonstration, we will use a hypothetical economic dataset that contains two key variables: Unemployment Rate: The dependent variable that we propose to forecast is the one that any shift in GDP is expected to impact. GDP (Gross Domestic Product): The independent variable, which is also known as the economic output of a country.
  • 6. STEP 1: PREPARE THE DATASET One important step you should take before employing any tools of analysis is to check that your data is clean, formatted correctly, and capable of supporting regression analysis. Here is a sample of our dataset: Loading Data into SPSS: Select the file option on SPSS software and click open data then locate your data set in the .sav, xls, or CSV format. Check that you have used the appropriate variable name. For demonstration let us label the “GDP” column as the independent variable and “Unemployment Rate” as the dependent variable. Country Year GDP (in trillions) Unemployment Rate (%) USA 2019 21.4 3.7 Canada 2019 1.84 5.7 Germany 2019 3.86 3.1 Japan 2019 5.08 2.4 UK 2019 2.83 3.8
  • 7. STEP 2: VISUALIZE THE DATA Before running the regression, it's important to explore the data visually. 1. Scatter Plot: ⚬ Go to Graphs > Legacy Dialogs > Scatter/Dot. ⚬ Select "Simple Scatter" and click "Define". ⚬ Place "GDP" on the X-axis and "Unemployment Rate" on the Y-axis. ⚬ Click "OK" to generate the scatter plot. You can be able to make an early decision in terms of positive, weak, strong, or no relationship at all by just looking at this scatter plot. If you see a downward- sloping trend, that might indicate a negative relationship: You can notice a reverse relation which means that employment decreases as the GDP increases.
  • 8. STEP 3: CONDUCT THE REGRESSION ANALYSIS Now, let's run the linear regression analysis. 1. Access the Regression Menu: ⚬ Go to Analyze > Regression > Linear. 2.Specify Variables: ⚬ Place "Unemployment Rate" in the "Dependent" box and "GDP" in the "Independent(s)" box. 3.Options: ⚬ You can leave the default options as they are or explore additional features such as confidence intervals, Durbin-Watson tests for autocorrelation, or saving residuals for further analysis. 4.Run the Regression: ⚬ Click "OK" to run the regression analysis.
  • 9. STEP 4: INTERPRET THE RESULTS MODEL SUMMARY The R Square value shows the extent up to which the independent variable has explained the dependent variable. For instance, if the obtained R Square is 0.65 this implies that 65 percent of the variance in unemployment can be explained by changes in GDP. Model Summary: R Square = 0.65 Adjusted R Square = 0.64 ANOVA TABLE The ANOVA table checks if the regression model is significantly better in outcome variable prediction than a model which has no predictors. The significance value or p-value in the ANOVA table shows the overall significance of the model. Model is significant when the p-value is less than 0.05. ANOVA: F = 34.56 Significance (p-value) = 0.002 Once the analysis is complete, SPSS will generate several tables. Here's how to interpret the key ones: SIGNIFICANCE OF THE PREDICTOR a. The Sig. (p-value) in the coefficients table tests whether the individual predictor (GDP) is statistically significant. b. A p-value less than 0.05 indicates that GDP is a significant predictor of unemployment. Coefficients: GDP Coefficient = -0.45 p-value = 0.001
  • 10. STEP 4: INTERPRET THE RESULTS (CONTD.) COEFFICIENTS TABLE a. This table provides the regression coefficients, which are used to construct the regression equation. b. The Unstandardized Coefficients column contains the values for the intercept (constant) and the slope (GDP). c. The regression equation can be written as: Unemployment Rate=β0​+β1​×GDP Suppose the table provides the following values: i. Constant (Intercept): 5.8 ii. GDP (Slope): -0.45 This gives us the equation: Unemployment Rate=5.8−0.45×GDP This equation suggests that for every additional trillion dollars in GDP, the unemployment rate decreases by 0.45 percentage points.
  • 11. STEP 5: EVALUATE MODEL ASSUMPTIONS For linear regression, several assumptions need to be met: 1. Linearity: The graph of the independent and dependent variables must be a straight line. 2. Independence of Errors: The residuals (errors) should be independent. 3. Homoscedasticity: The residuals should be of equal variance in each of the level of the independent variable. 4. Normality of Residuals: The residuals should be randomly distributed. To check these assumptions in SPSS: • Linearity: You can examine the scatterplot. Based on our expectation we should be able to observe a linear correlation between the GDP and the unemployment rate. • Independence and Homoscedasticity: You can select ‘Standardized Residuals’ from the drop-down ‘SCALE’ (Analyze > Regression > Linear > Save) and then determine if the residuals seem to have any particular pattern. • Normality: To make sure that the assumptions are met, a histogram or Q-Q plot of the residuals should be created by going to Graphs> Legacy Dialogs > Histogram.
  • 12. STEP 6: REPORTING THE RESULTS When reporting the results of your regression analysis, you should include the following information: 1. The regression equation: Y=5.8−0.45×GDP 2. The R-squared value: Indicating how much variance in the unemployment rate is explained by GDP. 3. The significance levels (p-values): Regarding the total proposed model and each of the individual predictors Example of a report statement: To achieve this, a straightforward linear regression was run on the variables of GDP to arrive at a forecast of the unemployment rate. The findings reveal that GDP has a significant correlation with the unemployment rate (r = -0.45, p = 0.001) and accounts for 65% of the variance, based on the model. The regression equation shows that, unemployment is inversely related to GDP, and for every one trillion dollars rise in the GDP the unemployment rate declines by 0.45 percentage points.
  • 13. Using regression analysis on large and complicated data might prove to be a challenge to learners working on assignments, thesis, or research. As we know, SPSS makes the job nearly effortless but complex data structures, multicollinearity, outliers, and assumptions such as homoscedasticity or normality are not trivial to handle. Our SPSS Assignment Help allows students to deal with these issues by getting professional assistance to analyze data correctly, create comprehensive reports, and adhere to academic requirements. Whether you’re working with big economic datasets, social science variables, or multivariate models, our experts help you: WHY SPSS ASSIGNMENT HELP IS NEEDED FOR COMPLEX REGRESSION ANALYSIS? 1. Pre-process big data. 2. Understand complex outputs like ANOVA, coefficients, and residuals of a variable. 3. Ensure compliance with regression assumptions. 4. Develop clear and concise academic reports that meet your institution's requirements.
  • 14. CONCLUSION KEY TAKEAWAYS We offer you individual coaching to prevent the misuse of time, avoid pitfalls, and receive only the best results, making your output distinctive. Conducting regression analysis using SPSS is a straightforward process once you understand the key steps: Prepare the dataset, visualize the relationship, perform a test run of analysis, and state observations from the analytical output. Looking at our example, we get to establish the fact that there is some negative relationship between the GDP and the unemployment rate, something that makes economic sense. SPSS simplifies the above discussed steps in such a way that it can explain regression analysis to those who have no statistical background. Opt for our SPSS regression help services where we ensure that you fully understand how to execute a successful process to achieve the best results in your coursework!