Answer:
the correlation coefficient of the line of best fit is, 0.98247.
Step-by-step explanation:
Correlation Coefficient are used to find how strong relationship between the data. It expressed its values between +1 and -1. It is represented by r.
* if 0<r<1 indicates a strong positive relationship.
* -1<r <0 indicates a strong negative relationship.
* r=0 indicates no relationship at all.
The formula for this :
![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%20%3D%20%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2-%28%5Csum%20y%29%5E2%5D%7D%7D)
Given the data: (-3, -40) , (1, 12), (5, 72) and (7,137)
Here, n = 4
To calculate the correlation coefficient r;
Substitute the values of data in above formla of r , as shown in the Figure 1:
then;
or
![r=\frac{5804-1810}{\sqrt{[336-100][102788 -32761]}}=\frac{3994}{\sqrt{[236][70027]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B5804-1810%7D%7B%5Csqrt%7B%5B336-100%5D%5B102788%20-32761%5D%7D%7D%3D%5Cfrac%7B3994%7D%7B%5Csqrt%7B%5B236%5D%5B70027%5D%7D%7D)
or

Therefore, the correlation coefficient r is, 0.98247 (Positive relationship)
In order to use the elimination<span> method, you have to create variables that have the same coefficient—then you can eliminate them. Multiply the top </span>equation<span> by 5. Next add the</span>equations<span>, and </span>solve<span> for y. Substitute y = 10 into one of the original </span>equations<span> to find x</span>
K=4 I think is the answer.
Answer:
A.)
C.)
D.)
Step-by-step explanation:
Hope this helps:)
Answer:
124 miles.
Step-by-step explanation:
From the question given above, the following data were obtained:
1 in = 20 miles
6 1/5 in =?
Next, we shall express 6 1/5 in decimal for easy calculation . This can be obtained as follow:
6 1/5 = 31 / 5
6 1/5 = 6.2 in
Finally, we shall convert 6.2 in to miles. This can be obtained as follow:
1 in = 20 miles
Therefore,
6.2 in = 6.2 in × 20 miles / 1 in
6.2 in = 124 miles
Thus, 6 1/5 in is equivalent to 124 miles.
Therefore, there are 124 miles between the two towns.