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Readme [11.4K]
3 years ago
5

I need help with this.​

Mathematics
1 answer:
anygoal [31]3 years ago
4 0

Answer:

D=4

C=12.56

Step-by-step explanation:

D=2r

d=2×2

D=4

C=pi ×D

C=3.14×4

C=12.56

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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]}}

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]}

or    

r=\frac{5804-1810}{\sqrt{[336-100][102788 -32761]}}=\frac{3994}{\sqrt{[236][70027]}}

or

r=\frac{3994}{4065.26408} =0.98247

Therefore, the correlation coefficient r is, 0.98247 (Positive relationship)


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