The coefficient of determination can be found using the following formula:
![r^2=\mleft(\frac{n(\sum ^{}_{}xy)-(\sum ^{}_{}x)(\sum ^{}_{}y)}{\sqrt[]{(n\sum ^{}_{}x^2-(\sum ^{}_{}x)^2)(n\sum ^{}_{}y^2-(\sum ^{}_{}y)^2}^{}}\mright)^2](https://tex.z-dn.net/?f=r%5E2%3D%5Cmleft%28%5Cfrac%7Bn%28%5Csum%20%5E%7B%7D_%7B%7Dxy%29-%28%5Csum%20%5E%7B%7D_%7B%7Dx%29%28%5Csum%20%5E%7B%7D_%7B%7Dy%29%7D%7B%5Csqrt%5B%5D%7B%28n%5Csum%20%5E%7B%7D_%7B%7Dx%5E2-%28%5Csum%20%5E%7B%7D_%7B%7Dx%29%5E2%29%28n%5Csum%20%5E%7B%7D_%7B%7Dy%5E2-%28%5Csum%20%5E%7B%7D_%7B%7Dy%29%5E2%7D%5E%7B%7D%7D%5Cmright%29%5E2)
Using a Statistics calculator or an online tool to work with the data we were given, we get
So the best aproximation of r² is 0.861
if your trying to find the slope then the slope is 3
Answer
:X + Y = 5.678
X ± 9.876 = Y
Step-by-step explanation:
needed points
Answer: 378
-------------------------------------
-------------------------------------
Work Shown:
f(x) = x^2 - 3x
f(x) = ( x )^2 - 3*( x )
f(-18) = ( -18 )^2 - 3*( -18 ) ... replace every x with -18; now use PEMDAS
f(-18) = 324 - 3*( -18 )
f(-18) = 324 + 54
f(-18) = 378
3x + 5y
Equal it out to zero.
3x + 5y = 0
Lets solve for x first.
3x = -5y
Divide by 3 to get x by itself.
x = -5y/3
Now solve for y.
3x + 5y = 0
Add -3 to both sides.
5y = -3x
Divide both sides by 5.
y = -3/5x
I Sure Hope This Helps!
