The option fourth "There is a strong negative relationship between x and y" is correct.
<h3>What is correlation?</h3>
It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
![\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}](https://tex.z-dn.net/?f=%5Crm%20r%20%3D%20%5Cdfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%7B%5Bn%5Csum%20x%5E2-%20%28%5Csum%20x%29%5E2%5D%7D%7D%5Csqrt%7B%5Bn%5Csum%20y%5E2-%20%28%5Csum%20y%29%5E2%5D%7D%7D)
The options are:
- There is no relationship between x and y.
- There is a weak negative relationship between x and y.
- There is a strong positive relationship between x and y.
- There is a strong negative relationship between x and y.
We have data:
x 7 8 9 10 11 12 13
y 13 10 7 6 5 3 0
The value of correlation r = -0.9847
As we know the value of r between -1 to +1
If r = 1 (perfect and positive correlation)
if r = -1 (perfect and negative correlation)
We have r = -0.9847
The value is near to -1 which means there is a strong negative relationship between x and y.
Thus, the option fourth "There is a strong negative relationship between x and y" is correct.
Learn more about the correlation here:
brainly.com/question/11705632
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Answer:
(x+7)(x-7)
Step-by-step explanation:
x²-49
=x²-7²
=(x+7)(x-7)
It would be (x+2)(x+2) factored
and use the distribution property if u want to solve it
x^2+2x+2x+4
=x^2+4x+4
It would all depend on the number and the factors they have.
For example:
A. What is the LCM of 4 and 8? As you can see, 8 is a multiple of 4 since 4×2=8
But 4 is NOT a multiple of 8 so that means 8 is the LCM.
B. What is the LCM of 3 and 6? As you can see, 6 is a multiple of both 3 and 6 but 3 is not a multiple of 6
Answer: So based off on what I showed you, the LCM of two numbers where one is the multiple of the other number is the multiple of the other number. In other words, the bigger of the two numbers