A Statistician Investigating the Relationship Between the Amount of Precipitation

question 70

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. $$\begin{array} { | c | c | c | } \hline \text { Day } & \text { Precipitation } & \text { Number of accidents } \\\hline 1 & 0.05 & 5 \\\hline 2 & 0.12 & 6 \\\hline 3 & 0.05 & 2 \\\hline 4 & 0.08 & 4 \\\hline 5 & 0.10 & 8 \\\hline 6 & 0.35 & 14 \\\hline 7 & 0.15 & 7 \\\hline 8 & 0.30 & 13 \\\hline 9 & 0.10 & 7 \\\hline 10 & 0.20 & 10 \\\hline\end{array}$$ Calculate the Spearman rank correlation coefficient, and test to determine at the 5% significance level whether we can infer that a linear relationship exists between the number of accidents and the amount of precipitation.

---

Definitions:

Stimulus Overload

A condition where an individual is overwhelmed by too much sensory information, often leading to stress or difficulty in focusing.

Depersonalizing Others

Treating individuals as if they do not possess personal qualities or individuality, often leading to a lack of empathy and objectification.

Intersectionality

A framework for understanding how aspects of a person's social and political identities combine to create different modes of discrimination and privilege.

Identity Categories

Classifications of the self based on social groupings, such as gender, race, religion, and sexuality, which inform a person's self-concept and social interactions.