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Write the r code and models for data. Question 1 [50 points]
Formulate Poisson regression model of number of trips made by households as a function of
• The number of persons normally resident in the household
• The number of employed persons normally resident in the household
• The number of cars owned or available to the households
a) Estimate the model in R and comment on the statistical significance of effect the explanatory
variables on the response variable (25 points)
b) Interpret the meaning of the coefficients in terms of their estimated effects on the response
variables (25 points)
Question 2 [50 points]
It has been suggested that the effects of car ownership on household trip making differ as between
inner and outer London:
a) Formulate a version of the Poisson regression model that allows this hypothesis to be tested and
perform the necessary model estimation in R (25 points)
b) Perform the required inference and comment on the results you obtain (25 points)
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