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Vera_Pavlovna [14]
3 years ago
15

When analyzing a scatterplot with a cluster, why should outliers generally be excluded when interpreting the relationship of the

variables?
Mathematics
2 answers:
joja [24]3 years ago
9 0

Answer:

Outliers are often extreme values that are not as representative of the data set as the other points in the cluster. If the outliers are included, a description of the data set might be misrepresented.

Cerrena [4.2K]3 years ago
4 0

Answer:

Sample Answer: Outliers are often extreme values that are not as representative of the data set as the other points in the cluster. If the outliers are included, a description of the data set might be misrepresented.

Step-by-step explanation:

Outliers are less reliable than points in a cluster for  representing the data set as a whole.

Outliers are often extreme values that occur rarely.

If outliers are not excluded, the interpretation of the data set may be overstated or understated.

If an important decision is based on an interpretation of the data set, excluding outliers provides the best basis for the decision.

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Given: sin ∅= 4/5 and cos x = -5/13 ; evaluate the following expression.<br><br> tan( ∅ - x )
Pavlova-9 [17]

By definition of tangent,

tan(θ - x) = sin(θ - x) / cos(θ - x)

Expand the sine and cosine terms using the angle sum identities,

sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)

cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)

from which we get

tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))

Also recall the Pythagorean identity,

cos²(x) + sin²(x) = 1

from which we have two possible values for each of cos(θ) and sin(x):

cos(θ) = ± √(1 - sin²(θ)) = ± 3/5

sin(x) = ± √(1 - cos²(x)) = ± 12/13

Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :

• cos(θ) = 3/5, sin(x) = 12/13 :

tan(θ - x) = -56/33

• cos(θ) = -3/5, sin(x) = 12/13 :

tan(θ - x) = 16/63

• cos(θ) = 3/5, sin(x) = -12/13 :

tan(θ - x) = -16/63

• cos(θ) = -3/5, sin(x) = -12/13 :

tan(θ - x) = 56/33

7 0
2 years ago
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Select two ratios that are equivalent to 27:927:927, colon, 9. Choose 2 answers: Choose 2 answers: (Choice A) A 3:13:13, colon,
Troyanec [42]

Answer:

A. Ratio = 3:1

B. Ratio= 9:3

Step-by-step explanation:

Given

Ratio= 27:9

Required

Determine equivalent ratios:

Ratio= 27:9

First, we simplify the ratio to the least possible

Ratio = 27/9:9/9

Ratio = 3:1

By comparison with the given options, we have A and B as answer.

See Proof Below

Proof: A

Compare this to the simplified ratio (given), we have:

Ratio = 3:1 = Ratio = 3:1

Proof B

Ratio= 9:3

Simplify the ratio to the least possible

Ratio= 9/3:3/3

Ratio= 3:1

Compare this to the simplified ratio (given), we have:

Ratio = 3:1 = Ratio = 3:1

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4 years ago
310 is the product of 106 and n​
lyudmila [28]

Answer:

Step-by-step explanation:

106n=310

n=300/106=150/53

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Find the fifth term of an=3n-5
solong [7]
For the fifth term, n = 5.
Just replace n with 5 in the expression.
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a_n = 3n - 5

a_5 = 3(5) - 5 = 15 - 5 = 10
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