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vovangra [49]
3 years ago
10

In your own words, how do you create a residual plot that shows whether a linear model is an appropriate fit for the data?

Mathematics
2 answers:
tresset_1 [31]3 years ago
8 0

Step-by-step explanation:

We need to understand what residual plot is?

A residual plot is a graph that shows the residuals on the vertical axis and the independent variable on the horizontal axis.

Hence, there are 2 cases related to the relation between residual plot and a linear model:

1. If the points in a residual plot are randomly dispersed around the horizontal axis => the linear model is an appropriate fit for the data

2. If the points in a residual plot has a pattern => nonlinear model is more appropriate or the line have a bad fit with the set of the data.

Hope it will find you well.  

marissa [1.9K]3 years ago
4 0

Answer:

For this case we assume that we have n pairs of observations (x_1 ,y_1) ,...,(x_n, y_n). Ad we have a model in order to estimate the real values y_i with a model. And the residuals are given by:

e_i =y_i-\hat y_i

Then we find the residuals for the n observations.

After that we can create a plot of (e_i , x_i) , i =1,2,...,n.

Andd after create this graph if we see no pattern in the graph we can conclude that the linear pattern

Step-by-step explanation:

For this case we assume that we have n pairs of observations (x_1 ,y_1) ,...,(x_n, y_n). Ad we have a model in order to estimate the real values y_i with a model. And the residuals are given by:

e_i =y_i-\hat y_i

Then we find the residuals for the n observations.

After that we can create a plot of (e_i , x_i) , i =1,2,...,n.

Andd after create this graph if we see no pattern in the graph we can conclude that the linear pattern

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skad [1K]

Answer:

Step-by-step explanation:

Firat triangle has a=4cm and b=a and P1=a*b/2=4*4/2=8cm^2

First parallelogram has h=4cm (from first triangle) and a=5.7cm

P2=a*h=22.8cm^2

Big triangle has h=4 and a=5.7+4=9.7

P3=a*h/2=9.7*4/2=19.4

And 4th triangle has the same are lik the first one, P4=8.

P=8+22.8+19.4+8=58.2cm^2

7 0
3 years ago
charity is four times as old as her daughter. she is also six years younger than her husband. The sum of their ages ten years to
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Answer:

36years

Step-by-step explanation:

Let charity present age be x

Charity daughter present age be y

Charity husband present age be z

If the sum of their ages ten years to come is 117, then;

10+x+10+y+10+z = 117

30+x+y+z = 117

x+y+z = 87 ... 1

If charity is four times as old as her daughter, then;

x = 4y

y = x/4 ... 2

If she is also six years younger than her husband, then;

x = z- 6

z = x+6 .. 3

Substitute 2 and 3 into 1;

x + x/4 + (x+6) = 87

Multiply through by 4

4x + x + 4(x+6) = 4(87)

5x+4x+24 = 348

9x = 348 - 24

9x = 324

x = 324/9

x = 36

hence Charity is 36years old today

5 0
3 years ago
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Rudiy27

Answer:

The fish that is 1 7/10 lbs

Step-by-step explanation:

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prohojiy [21]
Answers:
Diameter - B)
Circumference - F)
Radius - C) or <span>E)*</span>
Secant - E) or C)*
Concentric circles - D)
Arc - A)

* Please, note that you described option C and option E with the same exact words. One of the two is supposed to be different.

Let's see the definition of each term of the list on the left in order to find the right description:

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<em>Secant</em> = a<span> line that intersects a circle at any two points. Therefore the correct description is </span>E/C) Circle A and a line segment connecting the points B and C which are both on the circle.

<em>Concentric circles</em> = two circles positioned such as the center of the first one coincides with the center of the second one. Therefore the correct description is D) Two circles that share the same center.

<em>Arc</em> = part of the curve along the perimeter of a circle. Therefore, the correct description is A) a piece of the circumference of a circle.
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2 years ago
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Answer:

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