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

question 123

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:

Genetic Defects

Abnormalities in an organism's DNA that lead to diseases or malformations, sometimes hereditary and can be present at birth or develop over time.

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The process of creating a genetically identical copy of a mammal by using the DNA from a somatic cell.

Progeny

Progeny are the offspring or descendants of living organisms, representing the next generation.

Totipotency

The ability of a cell to differentiate into any type of cell in an organism, including the extraembryonic or placental cells.