Answer:
false
Step-by-step explanation:
Determine whether24:30 and 3:7/2 are equivalent therefore making it False
Answer:
So then the correlation coefficient would be r =0.8465
And the best options would be:
(D) 0.847
Step-by-step explanation:
Previous concepts
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
And in order to calculate the correlation coefficient we can use this formula:
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2%20-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2%20-%28%5Csum%20y%29%5E2%5D%7D%7D)
Solution to the problem
Data given:
X: 8 10 7 13 7 9 9 10 11 8
Y: 60 75 55 83 61 73 80 85 85 66
For our case we have this:
n=10
And if we replace into the formula we got:
So then the correlation coefficient would be r =0.8465
And the best options would be:
(D) 0.847
Negative × positive = negative
20×3=60
since its a negative, just add the sign
-60
The first piece is 20ft. The second piece is 40ft and the third piece is 60ft.