The table below lists weights (carats) and prices (dollars) for randomly selected diamonds. Is there sufficient evidence to suggest that there is a linear correlation between weights and prices? Construct a scatterplot, and find the value of the linear correlation coefficient $r$. Also find the $P$-value or the critical values of $r$ using $\alpha = 0.05$.
$\begin{array}{|l|l|l|l|l|l|l|}
\hline \text { Weight } & 0.3 & 0.4 & 0.5 & 0.5 & 1.0 & 0.7 \
\hline \text { Price } & 510 & 1151 & 1343 & 1410 & 5669 & 2277 \
\hline
\end{array}$

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The Answer of The table below lists weights (carats) and prices (dollars) for randomly selected diamonds. Is there sufficient evidence to suggest that there is a linear correlation between weights and prices? Construct a scatterplot, and find the value of the linear correlation coefficient $r$. Also find the $P$-value or the critical values of $r$ using $\alpha = 0.05$.
$\begin{array}{|l|l|l|l|l|l|l|}
\hline \text { Weight } & 0.3 & 0.4 & 0.5 & 0.5 & 1.0 & 0.7 \
\hline \text { Price } & 510 & 1151 & 1343 & 1410 & 5669 & 2277 \
\hline
\end{array}$

The Table Below Lists Weights (Carats) and Prices (Dollars) for Randomly