Question $3(2$ points$)$

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Use the following information to answer question $3$ to $8.$

An analyst uses linear regression model to analyze how the diamond$$s carats and colors $($Green$,$ Yellow, Aqua, and Orange$)$ influence the diamond$$s prices. R has created the analysis results, as shown below.

E$2$Q$3$to$8$

$3.$ Which statement is correct according to the adjusted R$-$squared value?

Question $3$ options:

If a diamond$$s carats change by one unit, then $86\mathrm{.}39\%$ of this one unit change predict the diamond$$s price change.

If a diamond$$s carats increase by one unit, then the diamond$$s price will decrease by $$8066\mathrm{.}62$

If a diamond$$s carats decrease by $86\mathrm{.}39\%,$ then the diamond$$s price will fall $$8066\mathrm{.}62$

If a diamond$$s price changes by one unit, then $86\mathrm{.}39\%$ of this one unit change can be predicted by the diamond$$s carats and color.