Analysis produced the following results: Total Sum of Squares 4633 Unexplained Sum of Squares 2010 What percentage of the variation in the dependent variable has been explained by variation in the independent variable?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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Analysis produced the following results:

Total Sum of Squares 4633

Unexplained Sum of Squares 2010

What percentage of the variation in the dependent variable has been explained by variation in the independent variable?

An urban geographer is interested in determining whether a statistically significant relationship
exists between the percentage of adults with some post-secondary education (PSE) and average
household income of a neighbourhood. A sample of 12 neighbourhoods is taken and the following
data are assembled:
Neighbourhood
PSE (%)
Av Income ($000)
1
35
56
2
39
28
3
42
31
45
36
48
65
6
51
65
7
51
61
8
58
72
9
65
71
10
68
91
11
72
59
12
85
90
4-
Transcribed Image Text:An urban geographer is interested in determining whether a statistically significant relationship exists between the percentage of adults with some post-secondary education (PSE) and average household income of a neighbourhood. A sample of 12 neighbourhoods is taken and the following data are assembled: Neighbourhood PSE (%) Av Income ($000) 1 35 56 2 39 28 3 42 31 45 36 48 65 6 51 65 7 51 61 8 58 72 9 65 71 10 68 91 11 72 59 12 85 90 4-
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