A Statistician Investigating the Relationship Between the Amount of Precipitation

question 152

Essay

A statistician investigating the relationship between the amount of precipitation (in inches) and the number of car accidents gathered data for 10 randomly selected days. The results are presented below. $$\begin{array} { | c | c | c | } \hline \text { Day } & \text { Precipitation } & \text { Number of accidents } \\\hline 1 & 0.05 & 5 \\\hline 2 & 0.12 & 6 \\\hline 3 & 0.05 & 2 \\\hline 4 & 0.08 & 4 \\\hline 5 & 0.10 & 8 \\\hline 6 & 0.35 & 14 \\\hline 7 & 0.15 & 7 \\\hline 8 & 0.30 & 13 \\\hline 9 & 0.10 & 7 \\\hline 10 & 0.20 & 10 \\\hline\end{array}$$ Determine the coefficient of determination and discuss what its value tells you about the two variables.

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Definitions:

Aggregate Demand Curve

A curve that shows the total quantity of all goods and services demanded across all levels of an economy at any given price level.

Real Output

The cumulative worth of all products and services manufactured within an economy, taking into account adjustments for changes in inflation.

Price Levels

A measure of the average prices of goods and services in the economy.

Aggregate Supply Curve

A graphical representation showing the relationship between the total supply of goods and services within an economy at different overall price levels.