Truck Speed vs Gas Mileage: An economist wanted to analyze the relationship between the speed of a car (x) and its gas mileage (y). As an experiment a car is operated at several different speeds and for each speed the gas mileage is measured. These data are shown below.

-A scatter diagram includes the following data points:
Two regression models are proposed: (1) , and (2) . Using the least squares method, which of these regression models provides the better fit to the data? Why?

Question

Truck Speed vs Gas Mileage: An economist wanted to analyze the relationship between the speed of a car (x) and its gas mileage (y). As an experiment a car is operated at several different speeds and for each speed the gas mileage is measured. These data are shown below.
 
-A scatter diagram includes the following data points:
  Two regression models are proposed: (1)  , and (2)  . Using the least squares method, which of these regression models provides the better fit to the data? Why?

Quizplus · Accepted Answer

The Answer of Truck Speed vs Gas Mileage: An economist wanted to analyze the relationship between the speed of a car (x) and its gas mileage (y). As an experiment a car is operated at several different speeds and for each speed the gas mileage is measured. These data are shown below.
 
-A scatter diagram includes the following data points:
  Two regression models are proposed: (1)  , and (2)  . Using the least squares method, which of these regression models provides the better fit to the data? Why?

Truck Speed Vs Gas Mileage: an Economist Wanted to Analyze