A Scatter Diagram Includes the Following Data Points $$\begin{array} { | c | c | c | c | c | c | } \hline x & 3 & 2 & 5 & 4 & 5 \\\hline y & 9 & 6 & 11 & 11 & 15 \\\hline\end{array}$$

question 119

Essay

A scatter diagram includes the following data points: $$\begin{array} { | c | c | c | c | c | c | } \hline x & 3 & 2 & 5 & 4 & 5 \\\hline y & 9 & 6 & 11 & 11 & 15 \\\hline\end{array}$$ Two regression models are proposed:
Model 1: y-hat = 1.85 + 2.40x.
Model 2: y-hat = 1.79 + 2.54x.
Using the least squares method, which of these regression models provides the better fit to the data? Why?

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Definitions:

Psychotherapeutics

The treatment of mental or emotional disorders through psychological methods rather than medical interventions.

Perception

The process by which individuals select, organize, and interpret sensory input to form a meaningful picture of the world.

Sense of Smell

The ability to detect odors through a specialized organ, typically the nose, which is a significant part of human and animal sensory systems.

Psychophysics

A branch of psychology that deals with the relationships between physical stimuli and the perceptions and sensations they produce in the observer.