Selected Answers to Problem Set 6
1. To find the weighted averages, we should add the number of arrivals:
Alaska Airline America West Destination % on time Total Flights % on time Total Flights Los Angeles 88.9 1370 85.6 1370 Phoenix 94.8 5488 92.1 5488 San Diego 91.4 680 85.5 680 San Francisco 83.1 1054 71.3 1054 Seattle 85.8 2408 76.7 2408 Total 90.8 11000 85.5 11000
4. We are looking for V such that BAV = AY. A is the matrix of the coefficients a and b from the equation y=ax + b:
B is the transpose of A, V is the vector , and Y is the vector of each y for ax + b.
5. The same formula applies as in number 4.
7.
a.
b.
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8. Click here(pdf). I used log base 10; if you used log base e (ln) then your answers will be different. The line will be y = 0.665x + 1.094.