A Statistician Investigating the Relationship Between the Amount of Precipitation

question 110

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 standard error of estimate, and describe what this statistic tells you about the regression line.

---

Definitions:

Deposit

A sum of money placed into a bank account or handed over as a partial payment or security for the purchase of an item.

Compounded Annually

Refers to the process of earning interest on both the principal and the accumulated interest from previous periods, calculated once per year.

Investment Pays

The returns or profits received from an investment.

Annuities

Financial products that provide a series of payments over time, usually for retirement income.