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;
![r=\frac{4\cdot 1451-(10)(181)}{[4\cdot84-(10)^2][4\cdot 256977 -(181)^2]}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B4%5Ccdot%201451-%2810%29%28181%29%7D%7B%5B4%5Ccdot84-%2810%29%5E2%5D%5B4%5Ccdot%20256977%20-%28181%29%5E2%5D%7D)
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)
The answer is $4,320 because you would multiply 500 by 0.06 to get 30. Then since that monthly you would multiply that by 12. Then since it’s over 4 years the final answer is $4,320.
Answer:
31.40 ft^2
Step-by-step explanation:
You are trying to find the circumference, C = 2 * r * 3.14
1. To get the radius you divide the diameter by 2: 10 / 2 = 5
2. Plug your radius into the equation
C = 2 * 5 * 3.14
3. Your final answer should be 31.40 ft^2
Answer:
width = 8 feet and length = 29 feet
Step-by-step explanation:
perimeter of a rectangle P = 2(L + W)
width W = x
length L = 3x + 5
P = 74 feet
74 = 2(3x + 5 + x)
37 = 3x + 5 + x
37 = 4x + 5
4x = 37 -5
4x = 32
x = 8
W = 8 feet
Answer:
The required probability is 0.55404.
Step-by-step explanation:
Consider the provided information.
The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typographical errors on a page of second booklet is a Poisson random variable with mean 0.3.
Average error for 7 pages booklet and 5 pages booklet series is:
λ = 0.2×7 + 0.3×5 = 2.9
According to Poisson distribution: 
Where 
is average number of events.
The probability of more than 2 typographical errors in the two booklets in total is:
Substitute the respective values in the above formula.
Hence, the required probability is 0.55404.
