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jeka57 [31]
3 years ago
7

In this scatterplot the individuals are states. The variable "cig" is the number of cigarettes sold per person in the state in 1

960. The variable "lung" is the deaths from lung cancer per 100,000 people in the state in 1990. For the state of Wyoming (WY), Cig =28.04, the observed lung value is 15.92, and the predicted lung value is 21.33. Compute the residual for this point.
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0

Answer:

e= -5.41

Step-by-step explanation:

Hello!

In linear regression, a residual value is a distance between the observed values and the regression line.

The residual value (e) is calculated as the difference between the observed value (Y) and the predicted value (^Y).

e= Y - ^Y

e= 15.92 - 21.33 = -5.41

I hope it helps!

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How many solutions does the equation y=3x have?
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Answer:

1 solution

Step-by-step explanation:

If you were to graph this line it would be a straight line so there is 1 solution.

y=3x

x=y/3

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Which of the following statements is true if m∠E = m∠Y and m∠F = m∠X?
mars1129 [50]

Answer:

segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX

Step-by-step explanation:

see the attached figure to better understand the problem  

we know that  

If m∠E = m∠Y and m∠F = m∠X  

then  

Triangles EFG and YXZ are similar by AA Similarity Theorem  

Remember that  

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent  

In this problem  

The corresponding sides are  

FE and XY  

EG and YZ  

GF and ZX  

so therefore  

segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX Firstly , let us learn about trigonometry in mathematics.  

Suppose the ΔABC is a right triangle and ∠A is 90°.  

sin ∠A = opposite / hypotenuse

cos ∠A = adjacent / hypotenuse

tan ∠A = opposite / adjacent

Let us now tackle the problem!  

A similar triangle has the same angle, in other words the triangle has the same shape but different sizes.  

From the figure in the attachment , we can conclude that:  

m∠E = m∠Y  

m∠F= m∠X  

m∠G = m∠Z  

∴ ΔEFG ~ ΔYXZ  ( ΔEFG is similar to ΔYXZ )    

Because of the similarity , then:  

FE : XY = EG : YZ = GF : ZX  

Conclusion:

ΔFG is similar to ΔYXZ.  

Segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX , i.e:    

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse , Triangle , Fraction , Lowest , Function , Angle

3 0
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Answer:

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Step-by-step explanation:

i hope this helps :)

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