A Statistician Investigating the Relationship Between the Amount of Precipitation

question 92

Essay

A statistician investigating the relationship between the amount of precipitation (in inches)and the number of automobile accidents gathered data for 10 randomly selected days.The results are shown below.(We cannot assume these variables have normal distributions. )
$$\begin{array} { | c | c | c | } \hline \text { Day } & \text { Precigitation } & \begin{array} { c } \text { Mumber of } \\\text { Accidents }\end{array} \\\hline 1 & 0.05 & 5 \\2 & 0.12 & 6 \\3 & 0.05 & 2 \\4 & 0.08 & 4 \\5 & 0.10 & 1 \\6 & 0.35 & 14 \\7 & 0.15 & 7 \\8 & 0.30 & 13 \\9 & 0.10 & 7 \\10 & 0.20 & 10 \\\hline\end{array}$$ 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:

Voiding Interval

The time span between individuals' urination, which is important for assessing urinary health and function.

Stress Incontinence

Stress incontinence is the involuntary leakage of urine during activities that increase intra-abdominal pressure, such as coughing, sneezing, or lifting, due to weakened pelvic floor muscles.

Urge Incontinence

A condition characterized by the sudden, intense need to urinate followed by an involuntary loss of urine.

Oliguria

A condition marked by an abnormally low output of urine, often signaling kidney dysfunction or severe dehydration.