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

question 21

Essay

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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Definitions:

Transfused

The process of transferring blood or blood-based products from one person into the circulatory system of another.

Hemolytic Disease

A condition in which red blood cells are destroyed faster than they can be made, often due to an immune response.

Rh-positive

Describes the presence of the Rh factor on the surface of red blood cells, which can play a critical role in blood transfusion and pregnancy.

Rh-negative

A blood type classification indicating the absence of the Rh (Rhesus) factor antigen on the surface of red blood cells.