How many models are fit at step 1 of the stepwise regression

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Reference no: EM131415708

Bus Rapid Transit study. Bus Rapid Transit (BRT) is a rapidly 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, January 2003).

Data on the following variables (all measured on a 5-point scale, where 1 = ''very unsatisfied'' and 5 = ''very satisfied'') were collected for a sample of over 500 bus riders: overall satisfaction with BRT (y), safety on bus (x1), seat availability (x₂), dependability (x₃), travel time (x₄), cost (x₅), information/maps (x₆), convenience of routes (x₇), traffic signals (x₈), safety at bus stops (x₉), hours of service (x₁₀), and frequency of service (x₁₁). 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?

(d) The stepwise regression selected the following eight variables to include in the model (in order of selection): x₁₁, x₄, x₂, x₇, x₁₀, x₁, x₉, and x₃. Write the equation for E(y) that results from stepwise

(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.

Reference no: EM131415708

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