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Vicki is in charge of the operations of Lyber, a ride-sharing start-up based in London. In order to understand what influences the demand Lyber faces,
Vicki is in charge of the operations of Lyber, a ride-sharing start-up based in London. In order to understand what influences the demand Lyber faces, she asked Alan, her intern analyst, to conduct a regression analysis. The data Alan pulled out from the company's database is summarized in Table 4.1. The data includes the number of rides its customers requested (in the unit of 1,000 rides) in a day, the high temperature of the day (in Celsius), the price Lyber charges (pound per kilometre, E/km), and whether the date recorded falls in a weekend or not (1 if weekend, 0 if not). The output of the first regression that Alan ran is exhibited in Table 4.2. Table 4.1: Lyber Data Ride Request (1000) High Temperature Price per km Weekend? 144 23 O 90 18 108 23 120 28 1 54 7 1.2 69 12 1.2 ... ... Table 4.2: Regression Results with number of rides requested on a day as the dependent variable. SUMMARY OUTPUT Regression Statistics Multiple R 0.910 R Square 0.827 Adjusted R Square 0.763 Standard Error 16.302 Observations 12 Coefficients Standard Error Stat p-value Lower 95% Upper 95% Intercept 160.861 34.942 4.604 0.002 80.283 241.438 High Temperature 2.038 0.820 2.485 0.038 0.146 3.929 Price per km -84.034 23.379 -3.594 0.007 137.946 -30.121 Weekend? -24.358 10.417 -2.338 0.048 48.380 0.337(iv) (5 Points) Staring at the output, Alan thinks there must be something wrong with the model; Intuitively, if Lyber sets the price per km to EO, they should expect the number of ride requests to be much higher than what the model in Table 4.2 currently predicts. Vicki, however, does not agree: "The lowest price in the dataset is 1 pound per km (E1/km), so I am not sure how valid your logic is." Who do you agree with? Why
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