The correlation coefficient is -0.87; strong correlation
<h3>How to determine the correlation coefficient?</h3>
The given parameters are:
x = Time spent working out
y = lbs Overweight
Next, we enter the table of values in a graphing tool.
From the graphing tool, we have the following summary:
<u>X Values</u>
- ∑ = 27.1
- Mean = 2.71
- ∑(X - Mx)2 = SSx = 22.569
<u>Y Values</u>
- ∑ = 89
- Mean = 8.9
- ∑(Y - My)2 = SSy = 778.9
<u>X and Y Combined</u>
- N = 10
- ∑(X - Mx)(Y - My) = -114.19
<u>R Calculation</u>
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -114.19 / √((22.569)(778.9))
r = -0.8613
Approximate
r = -0.87
This means that the correlation coefficient is -0.87
Also, the correlation coefficient is a strong correlation, because it is closer to -1 than it is to 0
Read more about correlation coefficient at:
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Answer:
y= 3x+16
Step-by-step explanation:
y = 3x + 8 ║ y= mx +b
Since lines are parallel, m=3
y= 3x+b
(-3, 7) intersect
y= 3x+16
Answer:
640.0
Step-by-step explanation:
Answer: (8a^3x^3)/81
Step-by-step explanation: Simplifying the expression :)
Answer:
a) 
b) 
c) 
d) 
e) The intersection between the set A and B is the element c so then we have this:

Step-by-step explanation:
We have the following space provided:
![S= [a,b,c,d,e]](https://tex.z-dn.net/?f=%20S%3D%20%5Ba%2Cb%2Cc%2Cd%2Ce%5D)
With the following probabilities:

And we define the following events:
A= [a,b,c], B=[c,d,e]
For this case we can find the individual probabilities for A and B like this:


Determine:
a. P(A)

b. P(B)

c. P(A’)
From definition of complement we have this:

d. P(AUB)
Using the total law of probability we got:

For this case
, so if we replace we got:

e. P(AnB)
The intersection between the set A and B is the element c so then we have this:
