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

question 21

Essay

Consider the following pairs of measurements: $\begin{array}{|c|c|c|c|c|c|}\hline x & 1 & 3 & 4 & 6 & 7 \\\hline y & 3 & 6 & 8 & 12 & 13 \\\hline\end{array}$

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 $\beta _ { 0 }$ and $\beta _ { 1 }$ .
d. Plot the least squares line on your scattergram. Does the line appear to fit the data well?

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Definitions:

Advances

Developments or progressions in a particular area, often leading to improvements or new insights.

Peer Influence

The effect that the social group an individual chooses or finds themselves in has on their behavior, attitudes, or values.

Future Orientation

The cognitive and emotional inclination to think about, plan, and prioritize the future over immediate needs or desires.

Decision Making

The process of selecting a course of action from several alternatives to achieve a desired outcome.