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 73

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:

Unbalanced Reaction

A chemical equation where the number of atoms for each element is not the same on both sides of the equation.

Gunpowder

A mixture of saltpeter (potassium nitrate), sulfur, and charcoal (carbon) that explodes when ignited.

Potassium Nitrate

A chemical compound with the formula KNO3, used as a fertilizer, in food preservation, and in the manufacture of gunpowder.

TNT

Trinitrotoluene, a chemical compound used as an explosive, recognized by its chemical formula C7H5N3O6.