A Statistician Investigating the Relationship Between the Amount of Precipitation

question 49

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. $$\begin{array} { | c | c | c | } \hline \text { Day } & \text { Precipitation } & \text { Number of accidents } \\\hline 1 & 0.05 & 5 \\\hline 2 & 0.12 & 6 \\\hline 3 & 0.05 & 2 \\\hline 4 & 0.08 & 4 \\\hline 5 & 0.10 & 8 \\\hline 6 & 0.35 & 14 \\\hline 7 & 0.15 & 7 \\\hline 8 & 0.30 & 13 \\\hline 9 & 0.10 & 7 \\\hline 10 & 0.20 & 10 \\\hline\end{array}$$ Do these data allow us to conclude at the 10% significance level that the amount of precipitation and the number of accidents are linearly related?

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Definitions:

Sunk Cost

Costs that have already been incurred and cannot be recovered or altered, and should not affect future business decisions.

Relevant Cost

Costs that will be affected by a decision in the future and therefore should be considered in decision-making processes.

Sell or Process Further

A decision-making process used in managerial accounting to determine whether it is more profitable to sell a product as is or process it further.

Incremental Revenue

The additional revenue generated from a new business action or decision, beyond the existing revenue stream.