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A Statistician Investigating the Relationship Between the Amount of Precipitation

question 103

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.  Day  Precipitation  Number of accidents 10.05520.12630.05240.08450.10860.351470.15780.301390.107100.2010\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.

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Definitions:

Carrying Value

The recorded cost of an asset in a company's books after adjusting for depreciation, amortization, or impairment costs.

Retirement

The act of leaving one's job and ceasing to work, typically due to reaching a certain age or health condition, often involving receiving pensions or retirement savings.

Gain or Loss

The financial result from selling an asset for more or less than its purchase price.

Par Value

The nominal or face value of a bond, stock, or coupon as stated by the issuer, which is typically not related to its market value.

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