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Fit the model Yį = ßo + ß₁ Xi + €, where are independent N(0, o²), i = 1, 2, … , 12. Obtain the maximum likelihood estimate (mle) of B₁. Your final answer must be a number. Please round it to 4 decimal places.

Fit the model Yį = ßo + ß₁ Xi + €, where are independent N(0, o²), i = 1, 2, … , 12. Obtain the maximum likelihood estimate (mle) of B₁. Your final answer must be a number. Please round it to 4 decimal places.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 4CA
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To what extent is crowding in a neighborhood related to the crime rate in that neighborhood? A city's neighborhoods are rated according to the room occupancy rate (ROR, the number of occupants in a dwelling divided by the number of rooms in that dwelling) and the number of times police were summoned to that neighborhood in the past year. The data are shown in the table. Neighborhood 1 2 3 4 5 6 7 18 9 10 11 12 ROR (X) 1.0 1.1 2.4 0.3 0.5 1.0 0.6 1.4 1.6 1.4 0.3 0.5 Crimes (Y) 36 39 55 26 39 40 46 39 60 49 37 46 Fit the model Y₁ = Bo + ₁ Xi + €į, where €¿ are independent N(0, ²), i = 1, 2, ..., 12. Obtain the maximum likelihood estimate (mle) of B₁. Your final answer must be a number. Please round it to 4 decimal places.
Transcribed Image Text:To what extent is crowding in a neighborhood related to the crime rate in that neighborhood? A city's neighborhoods are rated according to the room occupancy rate (ROR, the number of occupants in a dwelling divided by the number of rooms in that dwelling) and the number of times police were summoned to that neighborhood in the past year. The data are shown in the table. Neighborhood 1 2 3 4 5 6 7 18 9 10 11 12 ROR (X) 1.0 1.1 2.4 0.3 0.5 1.0 0.6 1.4 1.6 1.4 0.3 0.5 Crimes (Y) 36 39 55 26 39 40 46 39 60 49 37 46 Fit the model Y₁ = Bo + ₁ Xi + €į, where €¿ are independent N(0, ²), i = 1, 2, ..., 12. Obtain the maximum likelihood estimate (mle) of B₁. Your final answer must be a number. Please round it to 4 decimal places.
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