An Article in the Journal of Statistics Education Reported the Price

question 61

Essay

An article in the Journal of Statistics Education reported the price of diamonds of different sizes in Singapore dollars (SGD).
The following table contains a data set that is consistent with this data, adjusted to US dollars in 2004: $\begin{array}{|c|c|}\hline \text { 2004 US \$ } & \text { Carat } \\\hline 494.82 & 0.12 \\\hline 768.03 & 0.17 \\\hline 1105.03 & 0.20 \\\hline 1508.88 & 0.25 \\\hline 1826.18 & 0.28 \\\hline 2096.89 & 0.33 \\\hline\end{array}$


$\begin{array}{|c|c|}\hline \text { 2004 US \$ } & \text { Carat } \\\hline 688.24 & 0.15 \\\hline 944.90 & 0.18 \\\hline 1071.75 & 0.21 \\\hline 1504.44 & 0.26 \\\hline 1908.28 & 0.29 \\\hline 2409.76 & 0.35 \\\hline\end{array}$


$\begin{array}{|c|c|}\hline \text { 2004 US \$ } & \text { Carat } \\\hline 748.10 & 0.16 \\\hline 1076.18 & 0.19 \\\hline 1289.20 & 0.23 \\\hline 1597.63 & 0.27 \\\hline 2038.09 & 0.32 \\\hline & \\\hline\end{array}$

-Explain the meaning of $R ^ { 2 }$
in the context of this problem.

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Definitions:

Sicknesses

Conditions or diseases causing impairment to normal physiological functions, affecting a person's health and well-being.

Disordered Aggression

Aggressive behavior that is abnormal, uncontrolled, and potentially harmful, often resulting from psychological disorders or brain injury.

Cultures

The shared values, beliefs, norms, and practices of a group of people that are passed down from generation to generation.

Psychological Disorders

Mental health conditions characterized by disruptive patterns of thoughts, feelings, or behaviors, which cause distress or impair function in daily life.