Single Linear Regression

Data Set: prob_23.4_vacation.sav
A sociology professor believed there was a positive relationship between yearly income and miles traveled for
pleasure per year. She wished to develop an equation that would permit the prediction of miles traveled while
only looking at an individual’s yearly income. The professor had access to a random sample that consisted of
24 cases. She decided to give the work to her favorite graduate student – you! Can you do the analysis for
her? Write the regression equation and use it to predict the number of miles traveled for an individual who
earns $76,000.
Research Question: Can miles traveled for pleasure per year be predicted by yearly income?
Answer the following questions and explain
Are the assumptions met?
Assumption of Linearity
Assumption of Normality
Assumption of Outliers
Is the Single Linear Regression test significant?
What is the effect size?
Is the effect size small, medium, or large?
How much of the variation in travel for pleasure can be explained by yearly income?
Interpret the test.
What is the regression equation for this administration of the single linear regression test?
How many miles of travel for pleasure would this test predict for an individual who earns $76,000 per year?
Provide Results for the test.
Create a Table to display the results.

Sample Solution