The correlation coefficient measures the relationship between the two variables
The correlation coefficient is 0.234
<h3>How to determine the correlation coefficient</h3>
The formula of correlation coefficient is:
![r = \frac{1}{n - 1} * \sum{(\frac{x - \bar x}{\sigma_x})*(\frac{y - \bar y}{\sigma_y})](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B1%7D%7Bn%20-%201%7D%20%2A%20%5Csum%7B%28%5Cfrac%7Bx%20-%20%5Cbar%20x%7D%7B%5Csigma_x%7D%29%2A%28%5Cfrac%7By%20-%20%5Cbar%20y%7D%7B%5Csigma_y%7D%29)
Using the dataset from the complete question, we have:
![r = \frac{1}{5 - 1} * 0.9375](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B1%7D%7B5%20-%201%7D%20%2A%200.9375)
Evaluate the difference
![r = \frac{1}{4} * 0.9375](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%2A%200.9375)
Evaluate the quotient
![r = 0.234375](https://tex.z-dn.net/?f=r%20%3D%200.234375)
Approximate
![r = 0.234](https://tex.z-dn.net/?f=r%20%3D%200.234)
Hence, the correlation coefficient is 0.234
Read more about correlation coefficient at:
brainly.com/question/4219149
(2y + 5)° = 4y °
- 4y + 2y° = -5°
-2y° = -5°
y =5/2
Answer:
Your expression equals
assuming the problem was to simplify
to the form
.
Step-by-step explanation:
![2\sin(\frac{\pi}{8}) 2\cos(\frac{\pi}{8})](https://tex.z-dn.net/?f=2%5Csin%28%5Cfrac%7B%5Cpi%7D%7B8%7D%29%202%5Ccos%28%5Cfrac%7B%5Cpi%7D%7B8%7D%29)
![2(2)\sin(\frac{\pi}{8})\cos(\frac{\pi}{8})](https://tex.z-dn.net/?f=2%282%29%5Csin%28%5Cfrac%7B%5Cpi%7D%7B8%7D%29%5Ccos%28%5Cfrac%7B%5Cpi%7D%7B8%7D%29)
Let's use the following identity: ![2\sin(A)\cos(A)=\sin(2A)](https://tex.z-dn.net/?f=2%5Csin%28A%29%5Ccos%28A%29%3D%5Csin%282A%29)
![2\sin(2 \cdot \frac{\pi}{8})](https://tex.z-dn.net/?f=2%5Csin%282%20%5Ccdot%20%5Cfrac%7B%5Cpi%7D%7B8%7D%29)
which is comparable to the form
.
![a=2](https://tex.z-dn.net/?f=a%3D2)
![\theta=\frac{\pi}{4}](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cfrac%7B%5Cpi%7D%7B4%7D)
Add 4x to both sides and get
13 = 1 + 3x
12 = 3x [from subtracted 1 from both sides]
x = 4 [from dividing 3 from both sides]
therefore your answer would be x = 4
Answer:
(-3, -1)
Step-by-step explanation:
Vertex is either the coordinates of the maximum or the minimum