3 years ago

Solve for x: 12-2x=-2(y-x)

1 answer:

3 0

12 - 2x = -2(y - x)

12 - 2x = -2y - (-2x)

12 - 2x = -2y + 2x

12 - 2x - 2x = -2y + 2x - 2x

12 - 4x = -2y

12 - 12 - 4x = -2y - 12

-4x = -2y - 12

-4x/4 = -2y/4 - 12/4

-x = -0.5y - 3

-x/-1 = -0.5y/-1 - 3/-1

x = 0.5y + 3

or

x = 3 + 0.5y

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A simple random sample of 10 paired values (x,y) yields the following statistical calculations: ∑x=108, ∑y=138, ∑(x2) =1249, ∑(y

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The linear correlation coefficient is $r=1.054$

Explanation:

It is given that $\Sigma x=108$ , $\Sigma y=138$ , $\Sigma x^{2} =1249$ , $\Sigma y^{2} =2280$ and $\Sigma(x y)=1676$

Also, the random sample is $n=10$

The formula to determine the correlation coefficient is given by

$r=\frac{n\left(\sum x y\right)-\left(\sum x\right)(\Sigma y)}{\sqrt{\left[n \sum x^{2}-\left(\sum x\right)^{2}\right]\left[n \Sigma y^{2}-(\Sigma y)^{2}\right]}}$