Exercise 7.8.29. [S] Flying twice as far. A curious traveler asked this question on stack exchange:
A flight from Los Angeles to Albuquerque is about 2 hours but is 670.2 miles.
Can anyone explain why the travel time from San Jose to Chicago is not longer
A flight from San Jose to Chicago is 4 hours but is 1859.0 miles.
If the distance increase by 2, shouldn't the time increase by a factor of 2 as
(a) Write a linear model for this question. Takeoff and landing will take a fixed amount of
time. Actual travel in the air will take time proportional to the distance traveled. Think
about which of the variables (time and distance) is the independent variable, and identify
well? [R197]
and closer to 5.75 hours?
the slope and intercept with their units.
(b) Use the data in the quotation to estimate the two constants in your linear model
(c) Compare your answer to those at the link to the quotation.