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A Scatter Diagram Includes the Following Data Points x32545y86121014\begin{array} { | c | c c c c c | } \hline x & 3 & 2 & 5 & 4 & 5 \\\hline y & 8 & 6 & 12 & 10 & 14 \\\hline\end{array}

question 245

Essay

A scatter diagram includes the following data points:
x32545y86121014\begin{array} { | c | c c c c c | } \hline x & 3 & 2 & 5 & 4 & 5 \\\hline y & 8 & 6 & 12 & 10 & 14 \\\hline\end{array} Two regression models are proposed: (1) y^=1.2+2.5x\hat { y } = 1.2 + 2.5 x ,and (2) y^=4.0x\hat { y } = 4.0 x .Using the least squares method,which of these regression models provides the better fit to the data? Why?


Definitions:

Incentives

Rewards or motivations provided to encourage specific behaviors or actions.

Negative Information

Details or data that present an adverse or undesirable aspect, potentially influencing perceptions or decisions negatively.

Positive Emphasis

A communication strategy that focuses on optimistic or constructive aspects of a message to influence the receiver's perception positively.

Gender

The range of characteristics, roles, and identities that cultures associate with being male, female, or various other identities.

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