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?
Definitions:
Intellectual
An intellectual is an individual who engages in critical thinking, research, and reflection about society and proposes solutions for its normative problems.
Genius
Exceptional intellectual or creative power or other natural ability, often resulting in remarkable achievements or discoveries.
Intrinsically Real
Pertaining to the inherent or essential nature of something, being genuine and not dependent on external factors or perceptions.
Deviant Behavior
Actions or behaviors that violate societal norms or expectations, often eliciting disapproval or sanctions.
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