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A Statistician Investigating the Relationship Between the Amount of Precipitation

Question 195

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

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