The following table presents measurements of mean noise levels in dBA (y), roadway width inm(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).

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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y y X2 78.1 6.0 30.61 78.1 12.0 28.26 36.55 36.22 78.1 10.0 78.6 6.5 30.28 79.6 12.0 78.5 6.5 30.25 81.0 6.0 38.73 78.4 9.0 29.03 78.7 6.5 29.07 79.6 6.5 33.17