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A Test Is Conducted in 22 Cities to See If Y^=1.32+0.0345X11.45X2\hat { Y } = 1.32 + 0.0345 X _ { 1 } - 1.45 X _ { 2 }

Question 41

Multiple Choice

A test is conducted in 22 cities to see if giving away free transit system maps will increase the number of bus riders. In a regression analysis, the dependent variable Y is the increase in bus riders (in thousands of persons) from the start of the test until its conclusion. The independent variables are X1 = the number (in thousands) of free maps distributed and a binary variable X2 = 1 if the city has free downtown parking, 0 otherwise. The estimated regression equation is Y^=1.32+0.0345X11.45X2\hat { Y } = 1.32 + 0.0345 X _ { 1 } - 1.45 X _ { 2 } . In city 3, the observed Y value is 7.3, X1 = 140, and X2 = 0. The residual for city 3 (in thousands) is:


A) 6.15.
B) 1.15.
C) 4.83.
D) 1.57.

Correct Answer:

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