Attempting to analyze the relationship between advertising and sales, the owner of a furniture store recorded the monthly advertising budget ($thousands) and the sales ($ millions) for a sample of 12 months. The data are listed here. Advertising (X) Observation 1 2 3 4 5 6 7 8 9 10 11 12 1.5131 23 46 60 54 28 33 25 31 36 88 90 99 1.5131 (with margin: 0.01) Sales (Y) 9.6 11.3 12.8 9.8 8.9 The following model will be considered Y₁ = Bo + B₁ (xi) + €į, where €₂~ N(0,0²). Find an unbiased estimator of o² and use it to estimate the variance of the 7th residual, (e7). Provide the numerical value of V(e7). Please round it to 4 decimal places. 12.5 12 11.4 12.6 13.7 14.4 15.9
Attempting to analyze the relationship between advertising and sales, the owner of a furniture store recorded the monthly advertising budget ($thousands) and the sales ($ millions) for a sample of 12 months. The data are listed here. Advertising (X) Observation 1 2 3 4 5 6 7 8 9 10 11 12 1.5131 23 46 60 54 28 33 25 31 36 88 90 99 1.5131 (with margin: 0.01) Sales (Y) 9.6 11.3 12.8 9.8 8.9 The following model will be considered Y₁ = Bo + B₁ (xi) + €į, where €₂~ N(0,0²). Find an unbiased estimator of o² and use it to estimate the variance of the 7th residual, (e7). Provide the numerical value of V(e7). Please round it to 4 decimal places. 12.5 12 11.4 12.6 13.7 14.4 15.9
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
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Attempting to analyze the relationship between advertising and sales, the owner of a furniture store recorded the monthly advertising
budget ($thousands) and the sales ($ millions) for a sample of 12 months. The data are listed here.
Advertising (X)
Observation
1
2
3
4
5
6
7
8
9
10
11
12
1.5131
23
46
60
54
28
33
25
31
36
88
90
99
The following model will be considered
Y₁ = Bo + B₁ (x₁ - x) + €į, where €; ~ N(0,0²).
Find an unbiased estimator of o² and use it to estimate the variance of the 7th residual, (e7). Provide the numerical value of V(e7).
Please round it to 4 decimal places.
1.5131 (with margin: 0.01)
Sales (Y)
9.6
11.3
12.8
9.8
8.9
12.5
12
11.4
12.6
13.7
14.4
15.9
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