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
Answer:
(a) Verified
(b) They are simultaneous equations
Step-by-step explanation:
Given


Required
Verify that:
is a solution
We have:

Substitute:

Evaluate all products

Subtract:

<em>Because both sides of the equation are equal, then the point is a solution</em>
<em></em>
Also: 
Substitute:

Evaluate all products

Subtract:

<em>Because both sides of the equation are equal, then the point is a solution</em>
<em></em>
<em></em>
Because the given point is a solution to both equations, then they are simultaneous equation
Answer:
29°: Acute 90°: Right 61°: Acute
Step-by-step explanation:
If an angle is less than 90 degrees, it is acute. If it is greater than 90 degrees, it is obtuse. If it is exactly 90 degrees, it is right.
Answer:
A. 12.5 miles per hour B. 0.36 hours
Step-by-step explanation:
3.75/.30=12.5 , so divide 3.75 by the time 0.30 hours and you get your miles per hour
next, take 4.5 and divide by the new mph 12.5 from your previous answer.
4.5/12.5=0.36 hours