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When Johnny purchased his car, it valued at $\$22,000$. After $1$ year the value was at $\$19,500$, after $2$ years the value was at $\$17,500$, and after $4$ years it was valued at $\$12,000$.

Determine the least-squares regression line to determine what the cars value was after $5$ years (round to the nearest hundred).

A

$9700$

B

$9800$

C

$9900$

D

$10000$

E

$10100$

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