A Statistician Investigating the Relationship Between the Amount of Precipitation

question 82

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. $$\begin{array} { | c | c | c | } \hline \text { Day } & \text { Precipitation } & \text { Number of accidents } \\\hline 1 & 0.05 & 5 \\\hline 2 & 0.12 & 6 \\\hline 3 & 0.05 & 2 \\\hline 4 & 0.08 & 4 \\\hline 5 & 0.10 & 8 \\\hline 6 & 0.35 & 14 \\\hline 7 & 0.15 & 7 \\\hline 8 & 0.30 & 13 \\\hline 9 & 0.10 & 7 \\\hline 10 & 0.20 & 10 \\\hline\end{array}$$ Predict with 95% confidence the number of accidents that occur when there is 0.40 inches of rain.

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Definitions:

Elastic Demand

A situation where the demand for a product significantly changes in response to changes in the product's price.

Total Revenue

The sum of money a company earns from selling goods or providing services over a specified time frame.

Inelastic

Describes a situation where the demand or supply for a product does not significantly change with the alteration in price.

Elastic

Describes the sensitivity of demand or supply for a good or service to changes in its price, with higher elasticity indicating greater sensitivity.