If the covariance is 1225, variance of x is 1600,variance of y is 2500 then the correlation coefficient between x and y is 0.6125.
Given the covariance is 1225, variance of x is 1600,variance of y is 2500.
We have to find the correlation coefficient between x and y.
Covariance is basically a measure of the joint variability of two random variables.
Variance is a basically a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value.
The correlation coefficient is basically the specific measure that quantifies the strength of the linear relationship between two variables in a correlation analysis.
We know that the formula of correlation coefficient is as under:
r=![covariance (x,y)/\sqrt{variance(x)}*\sqrt{variance (y)}](https://tex.z-dn.net/?f=covariance%20%28x%2Cy%29%2F%5Csqrt%7Bvariance%28x%29%7D%2A%5Csqrt%7Bvariance%20%28y%29%7D)
r=1225/![\sqrt{1600}*\sqrt{2500}](https://tex.z-dn.net/?f=%5Csqrt%7B1600%7D%2A%5Csqrt%7B2500%7D)
r=1225/(40*50)
r=1225/2000
r=0.6125
Hence if the covariance is 1225, variance of x is 1600,variance of y is 2500 then the correlation coefficient between x and y is 0.6125.
Learn more about correlation coefficient at brainly.com/question/4219149
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Answer:
19%
Step-by-step explanation:
<h2>
<em>I Think </em></h2>
Answer:
4/10 is the same as 40/100
there fore 4/10+40/100=40/100+40/100=
80/100
hope it helps :)
Answer:
![26](https://tex.z-dn.net/?f=26)
Step-by-step explanation:
![2n-6](https://tex.z-dn.net/?f=2n-6)
Given that:
![n=16](https://tex.z-dn.net/?f=n%3D16)
To evaluate the expression, we must simply substitute the given value of
, which is
, for
:
![2(16)-6](https://tex.z-dn.net/?f=2%2816%29-6)
Multiply:
![32-6](https://tex.z-dn.net/?f=32-6)
Subtract:
![26](https://tex.z-dn.net/?f=26)
-
To check your work, simply set the given expression equal to our solution,
:
![2n-6=26](https://tex.z-dn.net/?f=2n-6%3D26)
Add
to both sides of the equation:
![2n=32](https://tex.z-dn.net/?f=2n%3D32)
Divide both sides of the equation by the coefficient of
, which is
:
![n=16](https://tex.z-dn.net/?f=n%3D16)
Since it matches the given value of
, our solution is correct!
Answer:
Neither. 72 students failed.
Step-by-step explanation:
40% of 180 is 72