Based on the ordered pairs in the data below, state whether there is no correlation, a weak correlation, or strong correlation .
If there is indeed correlation, determine whether the correlation is negative or positive.
X: 1, 2, 3, 4, 5, 6, 7, 8, 9,
Y: 2, 3, 8, 10, 26, 38, 46, 50, 68
The data above has
A. No correlation
B. A weak correlation
C. A strong correlation
The data above has:
A. No correlation
B. A negative correlation
C. A positive correlation
X: 1, 2, 3, 4, 5, 6, 7, 8, 9,
Y: 2, 3, 8, 10, 26, 38, 46, 50, 68
The data above has
A. No correlation
B. A weak correlation
C. A strong correlation
The data above has:
A. No correlation
B. A negative correlation
C. A positive correlation
2 answers:
<h3><u>Answer:</u></h3>
The data above has:
C. A strong correlation
The data above has:
C. A positive correlation
<h3><u>Step-by-step explanation:</u></h3>We have a ordered pairs in the data as:
x y
1 2
2 3
3 8
4 10
5 26
6 38
7 46
8 50
9 68
Clearly on plotting the scatter plot on the basis of table of values we see that the relation is a strong correlation since we can find a relationship between variable x and y.
i.e. the points will lie above or below the curve which is formed by connecting some points of the scatter plot and are not scattered away.
Hence, the data above has a:
C. A strong correlation.
Also the graph is a positive correlation since with the increasing value of x the y-value also increases.
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The length of one side is 12√3.
We know that the area of a triangle is given by the formula:
A=1/2(b)(h)
We can substitute the area in:
108√3 = 1/2(b)(h)
Let b be the side of the equilateral triangle. To find the height, we will use the Pythagorean theorem. We know that the height bisects the base, so we will call that leg of the right triangle formed (1/2b). Since the triangle is equilateral, we will call the hypotenuse b as well. We now have:
We will now substitute this in the formula for area we had above:
108√3=(1/2)(b)(√3/2b)
108√3=√3/4b²
Multiply both sides by 4:
(108√3)×4=(√3/4b²)×4
432√3=√3b²
Divide both sides by √3:
432√3/√3 = √3b²/√3
432=b²
Take the square root of both sides:
√432=√b²
Simplifying the radical, we have 12√3.
We know that the area of a triangle is given by the formula:
A=1/2(b)(h)
We can substitute the area in:
108√3 = 1/2(b)(h)
Let b be the side of the equilateral triangle. To find the height, we will use the Pythagorean theorem. We know that the height bisects the base, so we will call that leg of the right triangle formed (1/2b). Since the triangle is equilateral, we will call the hypotenuse b as well. We now have:
We will now substitute this in the formula for area we had above:
108√3=(1/2)(b)(√3/2b)
108√3=√3/4b²
Multiply both sides by 4:
(108√3)×4=(√3/4b²)×4
432√3=√3b²
Divide both sides by √3:
432√3/√3 = √3b²/√3
432=b²
Take the square root of both sides:
√432=√b²
Simplifying the radical, we have 12√3.