In a study of travel-to-work distances the population density of regions within conurbationswas modeled as a function of distance from their central business district. This generated thefollowing regression results:Model A:Inŷ; = 12.65 – 0.319X;s.e. (2.4) (0.013)R? = 0.783 n = 40Model B:Inî:= 10.92-- 0.28,/X;s.e.(1.95) (0.011)where the variables are:Y; = population density in area iX = distance from the central business district of the areaa) Interpret intercept and slope coefficients in Model A.b) Show that heteroscedasticity has been removed in Model B.c) What are the implications of this for the results in the original regression (Model A) ofpopulation density and distance from the central business district? Analyse it.d) Ilustrate the fomal tests that can be used to detect the problem.

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Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 33EQ

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