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Consider the two regression models:
Pizza=β1+β2Income+β3Age+β4(Age×Income)+u
(1)
Pizza=β1+β2Income+β3Age+u
(2)
where Pizza = Individual's annual expenditure on pizza
Income = Individual's annual income
Age = Individual's age in years
Suppose that the estimated coefficients b1, b2, and b3 are all positive in both Model (1) and (2) and b4 is also positive in Model (1).
By including the interaction term (Age×Income) in Model (1), what can be examined about the relationship between Pizza and Income and Age beyond what is examined in the simpler Model (2)?
Why can not we just do several two sample tests like we did in the last week. In your own words explain briefly also tell us what these are and what did it mean.
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