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=
r=1225/
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.
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Answer:
x=10, y=4
Step-by-step explanation:
3x-3y=18
(-)3x-(-)8y=-(-)2 -3x+8y=2 add to first equation to eliminate x
5y=20
y=4
substitute y with 4
3x-3(4)=18
3x=30
x=10
x=10,y=4
The answer is 223.75 because you multiply 12.5 and 17.9
I will solve your system by substitution.<span><span>x=<span><span>3y</span>−1</span></span>;<span><span><span>5x</span>−<span>7y</span></span>=19</span></span>Step: Solve<span>x=<span><span>3y</span>−1</span></span>for x:Step: Substitute<span><span>3y</span>−1</span>forxin<span><span><span><span>5x</span>−<span>7y</span></span>=19</span>:</span><span><span><span>5x</span>−<span>7y</span></span>=19</span><span><span><span>5<span>(<span><span>3y</span>−1</span>)</span></span>−<span>7y</span></span>=19</span><span><span><span>8y</span>−5</span>=19</span>(Simplify both sides of the equation)<span><span><span><span>8y</span>−5</span>+5</span>=<span>19+5</span></span><span>(Add 5 to both sides)
</span><span><span>8y</span>=24</span><span><span><span>8y</span>8</span>=<span>248</span></span>(Divide both sides by 8)<span>y=3</span>Step: Substitute3foryin<span><span>x=<span><span>3y</span>−1</span></span>:</span><span>x=<span><span>3y</span>−1</span></span><span>x=<span><span><span>(3)</span><span>(3)</span></span>−1</span></span><span>x=8</span><span>(Simplify both sides of the equation)</span><span>
x=<span><span>8<span> and </span></span>y</span></span>=3