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MAXImum [283]
3 years ago
7

Write the equation for a circle with a center at (5,-2) and a radius of 4.

Mathematics
1 answer:
choli [55]3 years ago
8 0

Answer:

(x-5)^2+(y+2)^2=4^2

Step-by-step explanation:

The equation of a circle is: ( x - h )^2 + ( y - k )^2 = r^2 where ( h, k ) is the center and r is the radius. Therefore, the equation in this instance is (x-5)^2+(y+2)^2=4^2.

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 20,157.50

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The correlation between the height and weight of children aged 6 to 9 is found to be about r = 0.8. Suppose we use the height x
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Answer:

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

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And we have another measure related to the correlation coefficient called the R square and this value measures the % of variance explained between the two variables of interest, and for this case we have:

r^2 = 0.8^2 = 0.64

So then the best conclusion for this case would be:

c. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.

Step-by-step explanation:

For this case we know that the correlation between the height and weight of children aged 6 to 9 is found to be about r = 0.8. And we know that we use the height x of a child to predict the weight y of the child

We need to rememeber that the correlation is a measure of dispersion of the data 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]}}

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And we have another measure related to the correlation coefficient called the R square and this value measures the % of variance explained between the two variables of interest, and for this case we have:

r^2 = 0.8^2 = 0.64

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c. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.

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Step-by-step explanation:

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