Answer:
r² = 0.5652 < 0.7 therefore, the correlation between the variables does not imply causation
Step-by-step explanation:
The data points are;
X, Y
0.7, 1.11
21.9, 3.69
18, 4
16.7, 3.21
18, 3.7
13.8, 1.42
18, 4
13.8, 1.42
15.5, 3.92
16.7, 3.21
The correlation between the values is given by the relation
Y = b·X + a
Where;
N = 10
∑XY = 499.354
∑X = 153.1
∑Y = 29.68
∑Y² = 100.546
∑X² = 2631.01
(∑ X)² = 23439.6
(∑ Y)² = 880.902
From which we have;
![r = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{\sqrt{\left [N\sum X^{2} - \left (\sum X \right )^{2} \right ]\times \left [N\sum Y^{2} - \left (\sum Y \right )^{2} \right ]}}](https://tex.z-dn.net/?f=r%20%3D%20%5Cdfrac%7BN%5Csum%20XY%20-%20%5Cleft%20%28%5Csum%20X%20%20%5Cright%20%29%5Cleft%20%28%5Csum%20Y%20%20%5Cright%20%29%7D%7B%5Csqrt%7B%5Cleft%20%5BN%5Csum%20X%5E%7B2%7D%20-%20%5Cleft%20%28%5Csum%20X%20%20%5Cright%20%29%5E%7B2%7D%20%5Cright%20%5D%5Ctimes%20%5Cleft%20%5BN%5Csum%20Y%5E%7B2%7D%20-%20%5Cleft%20%28%5Csum%20Y%20%20%5Cright%20%29%5E%7B2%7D%20%5Cright%20%5D%7D%7D)
r² = 0.5652 which is less than 0.7 therefore, there is a weak relationship between the variables, and it does not imply causation.
Answer:
0.049
Step-by-step explanation:
Since the number next to nine is four so we just write out the first two significant figures which excludes zero
Given that there is a little information I would say all is damaged.
<h3>answer</h3>
6 cm.
Explanation:
Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.
The formula to find the area of a triangle is:
a
=
1
2
h
b
→
(
h = height
,
b= base
)
We know:
a
=
24
h
=
8
So we can substitute them in and find
b
:
24
=
1
2
(
8
)
b
Multiply by sides by 2 and then divide:
24
×
2
=
1
2
(
8
)
b
×
2
48
=
8
b
6
=
b
The base of the triangle is
6 cm.
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