Consider the Following Pairs of Observations $\begin{array}{|c|c|c|c|c|c|}\hline x & 2 & 3 & 5 & 5 & 6 \\\hline y & 1.3 & 1.6 & 2.1 & 2.2 & 2.7 \\\hline\end{array}$

question 20

Essay

Consider the following pairs of observations: $\begin{array}{|c|c|c|c|c|c|}\hline x & 2 & 3 & 5 & 5 & 6 \\\hline y & 1.3 & 1.6 & 2.1 & 2.2 & 2.7 \\\hline\end{array}$

a. Construct a scattergram for the data. Does the scattergram suggest that $y$ is positively linearly related to $x$ ?
b. Find the slope of the least squares line for the data and test whether the data provide sufficient evidence that $y$ is positively linearly related to $x$ . Use $\alpha = .05$ .

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Definitions:

Pulmonary Vein

A vein that carries oxygenated blood from the lungs back to the left atrium of the heart.

Right Ventricle

The chamber within the heart that receives deoxygenated blood from the right atrium and pumps it into the pulmonary artery.

Aorta

The main artery in the body, originating from the left ventricle of the heart and extending down to the abdomen, supplying oxygenated blood.

Deep Femoral Artery

An artery that branches off the femoral artery, supplying blood to the deep structures of the thigh.