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:

Borrowed

Borrowed refers to funds that have been taken on loan from external sources, which are expected to be paid back with interest over time.

Daily Compounding

The process where the interest on an investment is calculated daily and added to the principal, so that each subsequent calculation of interest includes interest previously earned.

Bank Account

A financial account maintained by a banking institution in which the financial transactions between a customer and the bank are recorded.

Withdraw

The act of removing funds from an account, decreasing investment in a particular asset, or retracting participation from an agreement or membership.