Problems 4, 5 (next page), and 6 (next page) refer to the following scenario: You are interested in getting a robotic vacuum cleaner to clean your floors for you at night while you sleep. The problem is that these things are super expensive. You decide to use Amazon to track the prices of two different models - a Robo VacX and a DroidClean 3000 - over the course of the next year. Here is what you find. In these tables, R represents the price of a RoboVacX, D represents the price of a DroidClean 3000, and m represents months since you started keeping track of prices. Months tracking Price, R, in prices, m dollars Months tracking prices, m Price, D, in dollars $435.79 $362.54 $369.17 $265.12 $302.53 $194.19 $253.48 $152.88 $187.22 $110.67 4. Consider the function R(m). Why is it appropriate to use a linear regression to model this function relationship? Round any calculations to three decimal places. (a) The percent change is nearly constant across the given input intervals. (b) The percent change is exactly constant across the given input intervals. (c) All functions can be modeled with linear regression. (d) The average rate of change is nearly constant across the given input intervals. (e) The average rate of change is exactly constant across the given input intervals. Problems 4, 5 (next page), and 6 (next page) refer to the following scenario: You are interested in getting a robotic vacuum cleaner to clean your floors for you at night while you sleep. The problem is that these things are super expensive. You decide to use Amazon to track the prices of two different models - a Robo VacX and a DroidClean 3000 - over the course of the next year. Here is what you find. In these tables, R represents the price of a RoboVacX, D represents the price of a DroidClean 3000, and m represents months since you started keeping track of prices. Months tracking Price, R, in prices, m dollars Months tracking prices, m Price, D, in dollars $435.79 $362.54 $369.17 $265.12 $302.53 $194.19 $253.48 $152.88 $187.22 $110.67 4. Consider the function R(m). Why is it appropriate to use a linear regression to model this function relationship? Round any calculations to three decimal places. (a) The percent change is nearly constant across the given input intervals. (b) The percent change is exactly constant across the given input intervals. (c) All functions can be modeled with linear regression. (d) The average rate of change is nearly constant across the given input intervals. (e) The average rate of change is exactly constant across the given input intervals