An Article in the Journal of Statistics Education Reported the Price

question 93

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:

$\begin{array}{l}\begin{array} { | c | c | } \hline \text { 2004 US S } & \text { Carat } \\\hline 494.82 & 0.12 \\\hline 768.03 & 0.17 \\\hline 1105.03 & 0.20 \\\hline 1508.88 & 0.25 \\\hline 1826.18 & 0.28 \\\hline 2096.89 & 0.33 \\\hline\end{array}\quad\begin{array} { | c | c | } \hline \text { 2004 US S } & \text { Carat } \\\hline 688.24 & 0.15 \\\hline 944.90 & 0.18 \\\hline 1071.75 & 0.21 \\\hline 1504.44 & 0.26 \\\hline 1908.28 & 0.29 \\\hline 2409.76 & 0.35 \\\hline\end{array}\quad\begin{array} { | c | c | } \hline \text { 2004 US S } & \text { Carat } \\\hline 748.10 & 0.16 \\\hline 1076.18 & 0.19 \\\hline 1289.20 & 0.23 \\\hline 1597.63 & 0.27 \\\hline 2038.09 & 0.32 \\\hline & \\\hline\end{array}\end{array}$


-Would it be better for a customer buying a diamond to have a negative residual or a positive residual from this model? Explain.

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Definitions:

Stimulus

Something that causes a response in an organism, sensory system, or psychological process.

Physical Laws

The fundamental principles that describe the forces and properties of nature, governing the behavior of the physical universe.

Cognitive Ability

The capacity to perform higher mental processes of reasoning, remembering, understanding, problem solving, and decision making.

Media Directed

Content or messages specifically designed for dissemination through various media channels to target audiences.