When the errors show a non-random pattern in a residual plot, that means that your model probably is not appropriate for linear regression. True or false and why?

Answers

Answer 1

Answer: True

The errors represent how far off the guess is to the true value. The points on the residual plot must be scattered randomly around 0, in both positive and negative regions. Ideally, the smaller the errors, the better the fit. So we want these errors to be as close to 0 as possible. This is why we try to minimize the sum of the squared error (SSE) when trying to find the linear regression equation. The r and r^2 value are related to this idea as well.

If we don't have randomly scattered errors, and some pattern shows up, then this means a linear equation is not a good fit. Another model such as a quadratic model may be the better option.

As for the "why" this works, try to think of a person throwing darts. Their accuracy isn't perfect so they'll likely miss on the left and right sides of the target. Stuff on the left is negative territory, while stuff on the right is positive. Each side is fairly equal assuming the thrower isn't biased in some way. That's why we have randomly scattered points in both regions. In the case of a regression line, that's where our guess goes while the actual data point is the observed value. The difference between the two is the error.


Related Questions

What is the relationship between n and the number of petals shown in the sine rose curve?

n petals when n is even and odd

2n petals when n is even and odd

2n petals when n is even and n when n is odd

n petals when n is even and 2n when n is odd

Answer is C

Answers

Answer:

2n petals when n is even and n when n is odd

Step-by-step explanation:

edge 2020

Answer:

2n petals when n is even and n when n is odd

Step-by-step explanation:

edge

how many (5/16)s are in 1 7/8

Answers

Answer:

6

Step-by-step explanation:

Answer:

6.

Step-by-step explanation:

1 7/8  /  5/16

= 15/8 / 5/16

= 15/8 * 16/5

=  15*16

    ------

    8 * 5

= 3 * 2 / 1* 1

= 6.

Please help it’s due

Answers

Answer:

c, d, e,

Step-by-step explanation:

supplementary means 180 degrees or straight line

Evaluate ^4√9√9/^4√9^5
A: 9 -1/-2
B: 9 -1/-4
C: 9
D:9^2

Answers

The answer to your question is a

Answer:

It is answer A

Step-by-step explanation:

A sweater is on sale for 22.50 if the price represents a 45% what is the selling price

Answers

The answer $32.62........


Estimate the perimeter and the area of the shaded figure to the nearest tenth.

Answers

Answer:

Here is ur answer.

Step-by-step explanation:

Victoria ran 3/4 mile on Tuesday. She ran 2.2 times further on Saturday. How many miles did she run on Saturday

Answers

Answer:

The answer is 1.65 miles.

Step-by-step explanation:

To get this answer you need to convert 3/4 to a decimal, 0.75. Then multiply 0.75 by 2.2 to get 1.65.

A boy wants to jump onto a carousel that is spinning at a rate of 14 revolutions per minute. If the carousel is 23 feet in diamter, how fast must the boy run to match the speed of the carousel and jump on?A) 2.68 feet per second.B) 1,011.59 feet per second.C) 33.72 feet per second.D) 16.86 feet per second.

Answers

Answer:

16.86 ft/s

Step-by-step explanation:

Given that

Speed of the carousel, s = 14 rpm

Distance from the carousel, d = 23 ft

To start with, we convert the given speed to revolution per second, so that

s = 14/60 rev/sec

To find the needed speed, we use the formula

v =2πnR, remember that Diameter = 2R, so we substitute D for 2R and get πnD

v = πnD, and we use this to find our needed velocity

v = 3.142 * 14/60 * 23

v = 72.266 * 14/60

v = 16.86 ft/s

Therefore the boy must run at a speed of 16.86 ft/s in order to be able to match the carousel and jump on it

If a random sample of 47 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 0.2 millimeters?

Answers

Complete Question

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 143 millimetres, and a standard deviation of 5. If a random sample of 47 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 0.2 millimetres? Round your answer to four decimal places.

Answer:

The probability is [tex]P(|\= x - \mu | \ge 0.2 ) = 0.78394[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  47

    The mean diameter is [tex]\mu = 143[/tex]

    The standard deviation is [tex]\sigma = 5[/tex]

Generally the standard error of the mean is mathematically represented as

       [tex]\sigma_{x} = \frac{\sigma }{\sqrt{n} }[/tex]

=>     [tex]\sigma_{x} = \frac{5 }{\sqrt{47} }[/tex]

=>     [tex]\sigma_{x} = 0.7293[/tex]

Generally the probability that the sample mean will differ from the population mean by more than 0.2 milli meters is mathematically represented as

       [tex]P(|\= x - \mu | \ge 0.2 ) = P(\frac{|\= x - \mu|}{\sigma_{x}} \ge \frac{0.2}{0.7293} )[/tex]

[tex]\frac{|\= x - \mu | -\mu}{\sigma }  =  |Z| (The  \ standardized \  value\  of  \ {|\= x - \mu |  )[/tex]

=>      [tex]P(|\= x - \mu | \ge 0.2 ) = P(|Z| \ge 0.2742 )[/tex]

=>     [tex]P(|\= x - \mu | \ge 0.2 ) = P(Z < - 2742) + P(Z > 0.2742)[/tex]

From the z table  the area under the normal curve to the left corresponding to   -2.742  is

    [tex]P(Z < -0.2742) =0.39197[/tex]

From the z table  the area under the normal curve to the right corresponding to   2.742  is        

    P(Z > 0.2742)   =  0.39197

So

      [tex]P(|\= x - \mu | \ge 0.2 ) = 0.39197 + 0.39197[/tex]

      [tex]P(|\= x - \mu | \ge 0.2 ) = 0.78394[/tex]

frank is going to plant b vegetable seeds in one garden and 4b + 2 vegetable seeds in another. How many seeds is frank going to plant?

Answers

Answer:

5b + 2

Step-by-step explanation:

Frank is going to plant b vegetable seeds in one garden and 4b + 2 vegetable seeds in another.

We need to find how many seeds is frank going to plant.

It is equal to the sum of vegetable seeds in one garden and the vegetable seeds in another.

Sum = b + 4b + 2

Sum = 5b + 2

So, there are "5b + 2" seeds frank going to plant.

|| evaluate. ||
y + 8 for y = -10
help asap plspls !! :)

Answers

Answer:

i am braindead i cant help but i think its 2^5

Step-by-step explanation:

3. A road sign that is 12 feet high casts a shadow that is 15 feet long.
A second, taller road sign casts a shadow that is 25 feet long. What is
the height of the taller road sign?

Answers

Answer:

I think its 22 but I'm not sure

answer please math 1234556778898999000

Answers

Answer:

[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Is square root 6 :)

Which mapping diagram does not represent a function? es A) 2 26 347 4 8 B) 2 37 4 18 C) B 2 6 3-47 4 8 D) 2 3 4 6 7 8​

Answers

Answer:

I think it is A

Step-by-step explanation:

casey wants to buy a gym memebership. One gym has a $80 joining fee and cost $35 per month. Another gym has no joining fee and costs 75$ per month. When would casey pay the same amount to be a member of either gym? how much would she pay?

Answers

Answer:

they cost the same after 2 months

Step-by-step explanation:

Since we're looking for these two gyms cost the same, we need to make the equation compare the two together:

35x + 80 = 75x (the 1st gym with a joining fee $80 and 35 monthly equals $75 monthly)

Subtract 35x from both sides:

35x - 35x + 80 = 75x - 35x

80 = 40x

Divide by 40:

80 / 40 = 40x / 40

2 = x

So they cost the same after 2 months

35 * 2 + 80 = 75 * 2

150 = 150

And you'll be spending $150 in total.

plz HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

36 ÷ a

55 - b

18 + c

49 x d

e ÷ 62

Step-by-step explanation:

On a spelling quiz, Lily got 16 out of 20 questions correct. Select all the expressions that show the ratio of Lily’s correct answers to incorrect answers.

A. 45

B. 164

C. 4:1

D. 5:4

E. 16:20

Answers

Answer:

E.

Step-by-step explanation: Unless you accidentally swapped the 5 and 4 around for D, then the answer is just E.

Working alone, Jamie can mow her lawn in 75 minutes. If Bob helps her, then the two can mow the lawn in 30 minutes. How long does it take Bob to mow the lawn alone?

20 POINTS!!

Answers

Answer:

60 mins

Step-by-step explanation:

Need help ASAP What’s the area of a sum

Answers

I believe the answer to you question is going to be 33x^2-50x+8.

Hope this helps!!:))
The answer is C.) or the third one

3x4 . 6x6 simplify the following expression

Answers

Answer:

432 is the answer

Step-by-step explanation:

you multiply 3 times 4 that equals 12

you multiply 6 times 6 that equals 36

you multiply 12 times 36 that equals 432

Answer

432 is the answer

Step-by-step explanation:

you multiply 3 times 4 that equals 12

you multiply 6 times 6 that equals 36

you multiply 12 times 36 that equals 432

El costo total de una membresía de club de fans de Ariana Grande está representado por la expresión
3.50 m + 12, donde m es el número de meses que usted es un miembro. ¿Qué podría representar el 12?
The total cost of an Ariana Grande fan club membership is represented by the expression 3.50 m + 12 , where m is the number of months you are a member. What could the 12 represent?

Answers

Step-by-step explanation:

El costo total de una membresía de club de fans de Ariana Grande está representado por la expresión

3.50 m + 12, donde m es el número de meses que usted es un miembro. ¿Qué podría representar el 12?

The total cost of an Ariana Grande fan club membership is represented by the expression 3.50 m + 12 , where m is the number of months you are a member. What could the 12 represent

someone help me on 1 pls

Answers

Answer:

The answer is 140

Step-by-step explanation:

which ordered pair is a solution to the equation y=4-6x?
a) (8,-2)
b) (2,-8)
c) (-8,2)
d) (-2,-8)​

Answers

Answer:

the answer to this is b( 2,-8)

Please help ASAP!!!!!!

Answers

Answer:

2

Step-by-step explanation:

The elevation of a mountain is 27,370 feet. Due to erosion, this mountain is reduced by 0.2% each year. In how many years will the elevation be 26,986.82 feet?

Answers

Answer:

7 years

Step-by-step explanation:

27370 - 26986.82 = 383.18ft

0.2% = 0.2/100 = 0.002

27370*0.002 = 54.74

each year the montain reduce your elevation

54.74ft

then:

383.18/54.74 = 7

Answer:

7 years

If the radius of a circle is 19 what’s the circles diameter

Answers

Answer:

38

Step-by-step explanation:

R × 2 = D19 × 2 = D19 × 2 = 38

I hope this helps!

Answer:

d = 38

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Diameter: d = 2r

Step-by-step explanation:

Step 1: Define

Radius r = 19

Step 2: Find diameter

Substitute:                    d = 2(19)Multiply:                        d = 38

And we have our final answer!

In the figure below, determine the perimeter of AEFG.
26
26
DG
2x + 15
39 units
55 units
66 units
o
82 units

Answers

Answer:

A

Step-by-step explanation:

I took the quiz

Answer: 39 units

Step-by-step explanation:

I took the test

please write $98.03 in words

Answers

Answer:

ninety-eight dollars and three cents

Step-by-step explanation:

Answer:

Ninety-eight dollars and three cents?

Step-by-step explanation:

which two ratios form a proportion
A 1:2 and 4:2
b 1:2 6:3
c2:1 2:4
d 2:1 and 6 :3

Answers

Answer:c

Step-by-step explanation:

Did the test

Answer:

D. 2:1 & 6:3

Step-by-step explanation:

Proportion means equal so we need to see which ratios are equal.

To do that we need to make one fo the numbers in the ratio equal the corresponding number in the other ratio, then see if the other matches.

A:

1:2 & 4:2

The second number is already the same but the first isn't, therefore it is not proportional.

B:

1:2 & 6:3

To get 1 to equal 6 we must multiply it by 6, and what you do to one side you must do to the other so we have to multiply 2 by 6 as well

6:12 & 6:3

The first numbers are the same but the second isn't, therefore it is not proportional.

C:

2:1 & 2:4

The first numbers are the same but the second isn't, therefore it is not proportional

D:

2:1 & 6:3

to get 2 to equal 6 we need to multiply it by 3, which means we have to multiu 1 by 3 too

6:3 & 6:3

These are equal so this is proportional.

A BMW I-8 has N advertised rate of acceleration of 6.39 m/s to the second power. Based in the advertised date of acceleration, what would the velocity of a bmw I-8, starting from rest, in 4.20 seconds

Answers

Answer:

3.43

Step-by-step explanation:

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