An institute studies traffic delays. Data the institute published for the year 2
ID: 3253741 • Letter: A
Question
An institute studies traffic delays. Data the institute published for the year 2001 include information on the Total Delay per Person (hours per year spent delayed by traffic), the Average Arterial Road Speed (mph), the Average Highway Road Speed (mph), and the Size of the city (small, medium, large, very large). The regression model based on these variables is shown in the accompanying table. The variables Small, Large, and Very Large are indicators constructed to be 1 for cities of the named size and 0 otherwise. Complete parts a and b.
An institute studies tramic delays. Data the institute published for the year 2001 include information on the Total Delay per Person ihours per year spent delayed by trame), the Average Arterial Road Speed mph, the Average Highway Road Speed (mp and the Size of the city (smal, ry larg ables is panying tabl riables S Large, and very Larga indicato lad to be 1 for citius of the med size d 0 oth gression modul based omplete parts EA Click the icon to view the regression model. a) Why is thoro no coefficient for Medium? O A. By omitting dummy variable for Medium. the model makes this the baseline.Hed it been included, the four city size veriables would have been col O B. The value of the regression model coefficient for Medium sized city is 1 O C. By omitting 8 dummy variable for Medium. the model makes this the baseline.Hed it been included, the R-SQ value of th regression model would have decressed e O D. The value of the regression model coefficient lors Medium sized city is 0 b Explain how coefficients of Small. Large. and Mery Lange account for the of the city in the model. oficiant Small says that tratto loeing for tha attacta at highway and Rrterial apoade. Th delays hours pa ities attor for LRrga ys that traffic delays Par person per larga oitias tha lawing for the oftaota of highway and arterial spoeda. The nt for Vary Lergo hat traffi dala bout very largo Regression table Dapond DF of Sq Regreeskon 9808.23 Resid 2598.84 82 R-squared 79.1% Variable Coefficient SE(Coeff) -ratio R-squared adjusted) 774% Arterial mpi 2.04838 0.0872 Hiviaymph D 247 8.474, with 68-8 B2 Small 3.58370 2.953 degrees of freedom 6.00967 3.41058 3230 very large Print DoneExplanation / Answer
a) correct ans is "a".
"Medium" is considered the baseline and not included in model to avoid multicollinearity. If we want to predict for "Medium" just consider "Small" "LARGE" and "very Large" zero.
b) Total traffic delay is small cities is 3.589 units less than the traffic in medium city keeping other variables unchanged.
Total traffic delay is Large cities is 6.01 units more than the traffic in medium city keeping other variables unchanged.
Total traffic delay is Very large cities is 3.411 units more than the traffic in medium city keeping other variables unchanged.
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