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:
$54
Step-by-step explanation:
An expression for the total cost would be:
1($32) + ($32-$10) = $32 + $22 = $54
The wrong statement in Viktor's summary is When a round solid ball is placed in a box, the ball takes the shape of the box
The matter has three main states which are
These states define the way we interact and manipulate materials. For instance:
- Liquids take the shape of the container that contains them. For example water, milk, soda, among others.
- Solids have a defined shape and do not deform when manipulated or placed inside another container. For example, a round solid ball.
- Gases generally do not have colors and their atoms are not organized so they do not have a definite shape and take the shape of their container. For example, the air in a balloon.
According to the above, the error in Viktor's summary is in the first phase, and the correct statement is A. because solids does not take the shape of its container.
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value of y which satisfies equation 
is 
.
<u>Step-by-step explanation:</u>
We have , 3y+8=7y+11 . We need to find which value of y satisfies this equation 3y+8=7y+11 :
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⇒ 
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⇒ 
⇒ 
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Therefore, value of y which satisfies equation is .
