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A Scatter Diagram Includes the Following Data Points x32545y96111115\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 124

Essay

A scatter diagram includes the following data points: x32545y96111115\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 { y } = 1.85 + 2.40x.
Model 2: y^\hat { y } = 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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