12.117 do e and f for me. and explain please. thanks 12.117 Bus Rapid Transit study. Bus Rapid Transit (BRT) is a adly growing trend in the provision of public transportationin America. The Center for Urban Transportation Research(CUTR) at the University of South Florida conducteda survey of BRT customers in Miami (TransportationResearch Board Annual Meeting, Jan. 2003). Datathe following variables (all measured on a 5-point scawhere 1 very unsatisfied and 5= very satisfied) werecollected for a sample of over 500 bus riders overal satisfaction with BRT (y), safety on bus (x₁), seat avail-ability (x₂), dependability (x3), travel time (x4), cost (xs),information/maps (x6), convenience of routes (x), trafficsignals (xg), safety at bus stops (x9), hours of service (10),and frequency of service (x1). CUTR analysts used stepwiseregression to model overall satisfaction (y).a. How many models are fit at step 1 of the stepwiseregression?b. How many models are fit at step 2 of the stepwiseregression?c. How many models are fit at step 11 of the stepwiseregression?d. The stepwise regression selected the following eightvariables to include in the model (in order of selec-tion): X11, X4, X2, X7, X10, X₁, X9, and x3. Write the equa-tion for E(y) that results from stepwise regression.e. The model, part d, resulted in R2 = .677. Interpretthis value.f. Explain why the CUTR analysts should be cautious inconcluding that the best model for E(y) has been found.gist

Answered: tion for Ey) e. The model, part d,…

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12.117 do e and f for me. and explain please. thanks

12.117 Bus Rapid Transit study. Bus Rapid Transit (BRT) is a a
dly growing trend in the provision of public transportation
in America. The Center for Urban Transportation Research
(CUTR) at the University of South Florida conducted
a survey of BRT customers in Miami (Transportation
Research Board Annual Meeting, Jan. 2003). Data
the following variables (all measured on a 5-point sca
where 1 very unsatisfied and 5= very satisfied) were
collected for a sample of over 500 bus riders overal

satisfaction with BRT (y), safety on bus (x₁), seat avail-
ability (x₂), dependability (x3), travel time (x4), cost (xs),
information/maps (x6), convenience of routes (x), traffic
signals (xg), safety at bus stops (x9), hours of service (10),
and frequency of service (x1). CUTR analysts used stepwise
regression to model overall satisfaction (y).
a. How many models are fit at step 1 of the stepwise
regression?
b. How many models are fit at step 2 of the stepwise
regression?
c. How many models are fit at step 11 of the stepwise
regression?
d. The stepwise regression selected the following eight
variables to include in the model (in order of selec-
tion): X11, X4, X2, X7, X10, X₁, X9, and x3. Write the equa-
tion for E(y) that results from stepwise regression.
e. The model, part d, resulted in R2 = .677. Interpret
this value.
f. Explain why the CUTR analysts should be cautious in
concluding that the best model for E(y) has been found.
gist

Expert Solution

Step 1: part (e)

As per the question asked is to only answer part e and f :

Stepwise regression is a statistical method that automatically selects the most significant variables to be included in a regression model. In this case, the CUTR analysts used stepwise regression to model satisfaction with the Bus Rapid Transit (BRT) system.

Now moving toward the R² value in part e:

part e)

R-squared value $bold italic R to the power of bold 2 bold equals bold 0 bold. bold 677$ , R-squared value indicates that proportion of variance in dependent variable explains by the independent variables. About 67.7% of the variability in the satisfaction with the Bus Rapid Transit system can be explained by the chosen independent variables (in part d).