Question

1) Data on the coast Starlight Amtrak train that runs from Seattle to Los Angeles is collected, and the travel time between two stops on the train (In minutes) is modeled by the equation y = 0.725x + 51.32, where x is the number of miles between the two stops. Source: Starbucks.com, collected on March 10, 2011, http:// www.starbucks.com/menu/nutrition (a) The distance between Santa Barbara and Los Angeles is 103 miles. Use the model to estimate the time it takes for the Starlight to travel between these two cities. Solution to (a): (b) in reality, it actually takes the the Coast Starlight about 168 mins to travel from Santa Barbara to Los Angelas. Calculate the residual, and explain the meaning of this value. Solution to (b):

Answer 1

I PAGE 4 We are given the following Rearpanch Model Canear) ys 0.7252 + 51.32 between two stops in a distance Mites ya Minutes (tome taken). 1. X2 103 y= 10.725)(103) +51:32 125. 995 minutes, Hence The taken =125.995 minutes. - 125.995 minutes. c. from Dout (!) Residual = y- y = 168 min Leerdua = 168 125.995 mon 42.005 minutes.