Math  /  Data & Statistics

Question\begin{problem} The governor of a state has put together a team tasked with determining factors that account for the number of children living in poverty within the state. The team wants to know if the number of children living in poverty in a town is proportional to the population of the town, so they look at the population and number of children in poverty for 10 towns in the state. The data is reported in the table below.
\begin{center} \begin{tabular}{|c|c|} \hline Population & Children in Poverty \\ \hline 41,788 & 992 \\ 8,767 & 41 \\ 59,376 & 702 \\ 2,920 & 17 \\ 2,862 & 31 \\ 16,344 & 114 \\ 9,099 & 170 \\ 92,513 & 1,239 \\ 10,354 & 105 \\ 31,705 & 625 \\ \hline \end{tabular} \end{center}
\begin{enumerate} \item[(a)] What is the equation of the line of best fit? \item[(b)] What is "rr" and determine if it is a strong, moderate, or weak correlation. \end{enumerate} \end{problem}

Studdy Solution
Interpret the value of r r :
- If r |r| is close to 1, the correlation is strong. - If r |r| is around 0.5, the correlation is moderate. - If r |r| is close to 0, the correlation is weak.
The equation of the line of best fit is y=mx+b y = mx + b where m m and b b are calculated in Steps 2 and 3. The correlation coefficient r r is calculated in Step 4 and interpreted in Step 5.

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