A Statistician Investigating the Relationship Between the Amount of Precipitation

question 211

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:

Unconditioned Response

A natural, unlearned reaction to an unconditioned stimulus, such as salivating when tasting food.

Analgesia

The inability to feel pain while still conscious, often induced through use of medication or psychological techniques.

Hyperalgesia

An increased sensitivity to pain, which can be caused by damage to nociceptors or peripheral nerves.

Hyperactivity

A condition marked by excessive movement, impulsiveness, and difficulty in maintaining attention, often seen in ADHD.