A Statistician Investigating the Relationship Between the Amount of Precipitation

question 177

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:

Family Background

The social, economic, and familial circumstances and environments in which a person was raised, which can affect their development and life choices.

Paper-And-Pencil Tests

Assessment tools used to evaluate a variety of abilities, aptitudes, or personality traits, traditionally completed by respondents using paper and pencil.

Online Tests

Assessments available via the internet designed to measure various aspects such as personality, intelligence, aptitude, and other psychological attributes.

Personality Test

Assessments designed to measure psychological characteristics, traits, and patterns, often for the purpose of understanding or predicting behavior.