A large city is trying to plan its road construction so that its roads are appropriately-sized for when cars are all self-driving (autonomous). Research has suggested that adding autonomous vehicles to the current system could significantly reduce traffic by reducing the variance in speed of both the autonomous and human driving vehicles. The city would like to use analytics to help determine how many lanes its highways and major streets will need to have in the future.

The data set is what is listed in the multiple choice answers under "GIVEN"

d. Select a set of models from the list below, that the director of transportation can put together to determine how large to make each street and highway.

a.) GIVEN past data on neighborhood growth and general city-wide population forecasts, USE linear regression (with an autoregressive component) TO estimate the population 10, 15, and 20 years from now in each area of the city.

b.) GIVEN past data on neighborhood growth and general city-wide population forecasts, USE optimization TO estimate the population 10, 15, and 20 years from now in each area of the city.

c.) GIVEN future population estimates, past data on job locations around the city, and a variety of employment forecasts and expert forecasts about jobs that will be done from a worker's home in the future, USE a random logistic regression forest TO develop a range of scenarios for how many cars will be going from each part of the city to each other part during rush hour.

D.) GIVEN future population estimates, past data on job locations around the city, and a variety of employment forecasts and expert forecasts about jobs that will be done from a worker's home in the future, USE simulation TO develop a range of scenarios for how many cars will be going from each part of the city to each other part during rush hour.

e.) GIVEN a range of estimates of the number of cars going from each part of the city to each other part during rush hour, road size restrictions, an expert estimate of the fraction of autonomous cars, and a function that estimates traffic speed based on number of human-driven and autonomous cars, and number of lanes, USE optimization TO determine how many lanes each major street and highway should have to keep the average commute time below 20 minutes in 90% of the scenarios.

f.) GIVEN a range of estimates of the number of cars going from each part of the city to each other part during rush hour, road size restrictions, an expert estimate of the fraction of autonomous cars, and a function that estimates traffic speed based on number of human-driven and autonomous cars and number of lanes, USE linear regression TO determine how many lanes each major street and highway should have to keep the average commute time below 20 minutes in 90% of the scenarios.