SPSS Eindtentamen opdracht 3
A: INSPECTING THE DATASET AND LOOKING AT DESCRIPTIVE
STATISTICS
A1: What are the means of the variables income, age and experience?
Use Analyze > Descriptive Statistics > Frequencies or Descriptives. And
select the right aspects (age, experience work, income) at ‘Statistics’ (if
you use Frequencies) or 'Options' (if you use Descriptives)
Antwoord:
Mean income = 6.15
Mean age = 28.70
Mean experience = 5.70
We are going to investigate why the income level differs between the women.
First, let's explore the effect of age (X) on income (Y). Make a graph (scatterplot)
in which you can see the relationship between the variables age and income.
A2: How should we interpret the constant (a = 3.57) from this
regression model?
Make a scatterplot by using Graphs > Legacy Dialogs > Scatter/Dot >
Simple Scatter and then press "Define".
o Add the dependent variable on the Y-axis (income) and the
independent variable on the X-axis (age). Then press Paste and run
the syntax code from your syntax screen.
Then go to the output screen and double-click on the scatter plot. A new
window will open in which the graph is shown separately (the "Chart
Editor").
o Then in the top of the window, select "Elements" > "Fit line at
total".
Now the regression line will be shown, including the regression equation.
Antwoord: The constant means the predicted value of Y when all the X's are 0. So
the value of the dependent variable when the independent variables are 0. So in
this case: The income of women, who are 0 years old (age = 0).
B: SIMPLE LINEAR REGRESSION ANALYSIS AND HYPOTHESIS TESTING
We investigate the question whether one's age has an influence on one's
income: thus, income is the dependent variable and age is an independent
variable.
B1. What is the effect of age on income?
Go to Analyze > Regression > Linear.
o Select income as the dependent variable and age as the
independent variable.
Look at the coefficients table: what does the slope of the variable age say?
Antwoord: If you look at the slope (B) of age, you can see that it is 0.090. This
means that for every year you get older, your income increases with 0.090.
Now we are going to test a hypothesis.
If β is the effect of age on income in the population, test the following
hypotheses:
, H 0: β = 0
Ha: β ≠ 0
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