A sociologist is studying the relationship between consumption expenditures y of families in the United States, family
Question:
A sociologist is studying the relationship between consumption expenditures y of families in the United States, family income x, and whether or not the family lives in an urban or rural community. She collects data on 50 families, a portion of which is shown in the accompanying table. The entire data set, labeled Urban_Rural, can be found on the text website.
a. Estimate y = β0 + β1x + β2d + ε where the dummy variable d equals 1 for urban families. Use the estimated model to predict the consumption expenditure of urban families with an income of $80,000. What is the corresponding consumption expenditure of rural families?
b. Estimate y = β0 + β1x + β2d + ε where the dummy variable d equals 1 for rural families. Use the estimated model to predict the consumption expenditure of urban families with an income of $80,000. What is the corresponding consumption expenditure of rural families?
c. Interpret the results of the above two models.
Step by Step Answer:
Essentials Of Business Statistics Communicating With Numbers
ISBN: 9780078020544
1st Edition
Authors: Sanjiv Jaggia, Alison Kelly