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:

Clayton Act

A United States antitrust law passed in 1914, aimed at promoting fair competition for the benefit of consumers by preventing unethical business practices.

Mergers

The combination of two or more companies into a single entity, typically with the aim of achieving business growth or improving competitive advantage.

Anticompetitive Behavior

Practices that unfairly restrict competition and harm consumers or other businesses.

Rule-Of-Reason Analysis

An inquiry into the competitive effects of a company’s anticompetitive behavior to determine whether the benefits of the behavior outweigh the harm.