A Survey Is Conducted to Determine Whether the Age of Car

question 18

Essay

A survey is conducted to determine whether the age of car influences the annual maintenance cost. A sample of 10 cars is selected and the data is shown below. $$\begin{array} { | c | c | } \hline \text { Age of car (months) } \boldsymbol { x } & \begin{array} { c } \text { Annual Maintenance } \\\text { Cost (\$) } \boldsymbol { y }\end{array} \\\hline 3 & 120 \\\hline 5 & 115 \\\hline 6 & 135 \\\hline 7 & 290 \\\hline 9 & 275 \\\hline 10 & 300 \\\hline 11 & 350 \\\hline 13 & 475 \\\hline 14 & 500 \\\hline 15 & 550 \\\hline\end{array}$$
a. Test whether each of the regression parameters β₀ and β₁ is equal to zero at a 0.05 level of significance.
b. Interpret the estimated regression parameters? Are these interpretations reasonable?

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Definitions:

Semilunar Valves

Valves located at the exits of the heart, preventing blood from flowing back into the ventricles from the arteries.

Diastole

The phase of the heartbeat when the heart muscle relaxes and allows the chambers to fill with blood.

Systole

The phase of the heartbeat during which the heart muscle contracts and pumps blood from the chambers into the arteries.

Ventricular Filling

The phase of the cardiac cycle when the heart's ventricles fill with blood coming from the atria.