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Finding the Correlation Coefficient When Given the Variation

APSTAT-RK1AEL

It is determined that the least squares regression line between two variables, $x$ and $y$, is given as:

$$\hat { y } =20000- 0.153x$$

It is also determined that the variation (coefficient of determination) is $57\%$.

Which of the following is the value for the correlation coefficient?

A

$-0.755$

B

$-0.325$

C

$0$

D

$0.325$

E

$0.755$