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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.  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:

Belongingness

How group membership has shaped personal and family histories.

Noninterventionist

A policy or stance that advocates for not intervening, especially in the internal affairs of other countries.

Disinterested

Having no bias or partiality; impartial.

Deficit

A shortfall or deficiency, often referring to a lack in quantity or quality of a desired or required resource or attribute.

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