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Consider the Following Pairs of Measurements x13467y3681213\begin{array} { | c | c | c | c | c | c | } \hline x & 1 & 3 & 4 & 6 & 7 \\\hline y & 3 & 6 & 8 & 12 & 13 \\\hline\end{array}

question 74

Essay

Consider the following pairs of measurements: x13467y3681213\begin{array} { | c | c | c | c | c | c | } \hline x & 1 & 3 & 4 & 6 & 7 \\\hline y & 3 & 6 & 8 & 12 & 13 \\\hline\end{array} a. Construct a scattergram for the data. b. What does the scattergram suggest about the relationship between x and y? c. Find the least squares estimates of β0 and β1. d. Plot the least squares line on your scattergram. Does the line appear to fit the data well?

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Definitions:

3,4-Dimethylhexane

A branched alkane with the formula C8H18, identified by its specific arrangement of methyl groups at the third and fourth carbon atoms.

Carbanion

A negatively charged ion (anion) that contains a carbon atom bearing three bonds and one lone pair of electrons, making it very reactive.

Reactive Intermediate

A short-lived species formed during the course of a chemical reaction which cannot be isolated under normal conditions.

H+

The proton, often representing an acid in chemistry, capable of forming hydronium ions (H3O+) in solution.

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