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Dafna11 [192]
3 years ago
11

"Find the coefficient of determination given that the correlation coefficient = -.39"

Mathematics
1 answer:
nika2105 [10]3 years ago
4 0

Answer:

r = -0.39

And the determination coeffcient is just the correlation coeffcient square and we got:

R = r^2 = (-0.39)^2 =0.1521

And rounded to the nearest tenth thousand would be 0.1521

Step-by-step explanation:

The correlation coefficient is a measure of variability and is given by this formula:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}

For this case we have

r = -0.39

And the determination coeffcient is just the correlation coeffcient square and we got:

R = r^2 = (-0.39)^2 =0.1521

And rounded to the nearest tenth thousand would be 0.1521

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Answer:

See below.

Step-by-step explanation:

\cot(x-\frac{\pi}{2})=-\tan(x)

Convert the cotangent to cosine over sine:

\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)

Use the cofunction identities. The cofunction identities are:

\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)

To convert this, factor out a negative one from the cosine and sine.

\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)

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3 years ago
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Answer:

Step-by-step explanation:

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You know that the number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118.   Then the value of the slope is 13.42. In this scenario, the slope indicates that the number of deaths of sea turtles grows in a proportion of 13.42 with respect to the pollution index of the bay.

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Answer:

C.) 2\sqrt{34}

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