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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.1: Stem-and-leaf Plots And Histograms
Problem 10E
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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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