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c. What is meant by correlation between two variables $x$ and $y$.$\newline$ii. Write the mathematical formula for correlation between two variables.$\newline$d. A sample of ten ($10$) families in an area revealed the following figures for family size and the amount spent on food in a certain weck.$\newline$\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|}$\newline$\hline \begin{tabular}{l} $\newline$Family \\$\newline$size (x)$\newline$\end{tabular} & $3$ & $6$ & $5$ & $6$ & $6$ & $3$ & $4$ & $4$ & $5$ & $3$ \\$\newline$\hline \begin{tabular}{l} $\newline$Amount \\$\newline$spent on \\$\newline$food $(\mathrm{y})$$\newline$\end{tabular} & $9$ & $10$ & $15$ & $13$ & $14$ & $11$ & $7$ & $9$ & $19$ & $9$ \\$\newline$\hline$\newline$\end{tabular}$\newline$i. Compute the coefficient of correlation between $\mathrm{x}$ and $\mathrm{y}$.$\newline$ii. Derive the line of regression between $x$ and $y$.