The following table presents measurements of mean noise levels in dBA (y), roadway width in m (x1), and mean speed in km/h (x2), for 10 locations in Bangkok, Thailand, as reported in the article "Modeling of Urban Area Stop-and-Go Traffic Noise" (P. Pamanikabud and C. Tharasawatipipat, Journal of Transportation Engineering, 1999:152–159). y X1 X2 78.1 6.0 30.61 78.1 10.0 36.55 79.6 12.0 36.22 81.0 6.0 38.73 78.7 6.5 29.07 78.1 12.0 28.26 78.6 6.5 30.28 78.5 6.5 30.25 78.4 9.0 29.03 79.6 6.5 33.17 Construct a good linear model to predict mean noise levels using roadway width, mean speed, or both, as predictors. Provide the standard deviations of the coefficient estimates and the P-values for testing that they are different from 0. Explain how you chose your model.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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The following table presents measurements of mean noise levels in dBA (y), roadway width
in m (x1), and mean speed in km/h (x2), for 10 locations in Bangkok, Thailand, as reported
in the article "Modeling of Urban Area Stop-and-Go Traffic Noise" (P. Pamanikabud and
C. Tharasawatipipat, Journal of Transportation Engineering, 1999:152–159).
y
X1
X2
78.1
6.0
30.61
78.1
10.0
36.55
79.6
12.0
36.22
81.0
6.0
38.73
78.7
6.5
29.07
78.1
12.0
28.26
78.6
6.5
30.28
78.5
6.5
30.25
78.4
9.0
29.03
79.6
6.5
33.17
Construct a good linear model to predict mean noise levels using roadway width, mean
speed, or both, as predictors. Provide the standard deviations of the coefficient estimates
and the P-values for testing that they are different from 0. Explain how you chose your
model.
Transcribed Image Text:The following table presents measurements of mean noise levels in dBA (y), roadway width in m (x1), and mean speed in km/h (x2), for 10 locations in Bangkok, Thailand, as reported in the article "Modeling of Urban Area Stop-and-Go Traffic Noise" (P. Pamanikabud and C. Tharasawatipipat, Journal of Transportation Engineering, 1999:152–159). y X1 X2 78.1 6.0 30.61 78.1 10.0 36.55 79.6 12.0 36.22 81.0 6.0 38.73 78.7 6.5 29.07 78.1 12.0 28.26 78.6 6.5 30.28 78.5 6.5 30.25 78.4 9.0 29.03 79.6 6.5 33.17 Construct a good linear model to predict mean noise levels using roadway width, mean speed, or both, as predictors. Provide the standard deviations of the coefficient estimates and the P-values for testing that they are different from 0. Explain how you chose your model.
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