Why do we calculate residuals?

Answers

Answer 1

The difference between the value predicted by the regression and the observed value for a given data point is known as the residual. The residual calculation offers a useful indicator of how well your model matches the given data set.

What is residual?

The discrepancies between actual and expected data values are known as residuals in statistical or machine learning models.

They serve as a diagnostic tool for evaluating a model's quality. They are also called mistakes.

The table below's main column, Inflation, displays information on US inflation for each month of 2017. The Predicted column displays forecasts from a model that aims to forecast the pace of inflation.

The residuals are calculated as follows: Residual = Inflation - Predicted. They are displayed in the Residual column. In the instance of the data for January 2017, the model projected 1.8%, but the observed inflation was 0.5%, leaving a residual of -1.3%.

Hence, The residual calculation offers a useful indicator of how well your model matches the given data set.

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Related Questions

Question: 2 out of 10
~!¡! Volume !¡!~
(Pleaaase go try to answer the first one- )

Answers

Answer:

B) 2,340

Step-by-step explanation:

Math problem please help

Answers

Answer:

The second one and the last one

Step-by-step explanation:

The third quadrant is of all negitive. The reason it is, is because it is on the left side of the x axis which makes it go lower like subtracting and dividing, then it is on the bottom half of the y axis which again is the same reason

i hope i helped and have a great day!

Answer:

B and D

Step-by-step explanation:

because in the 3rd quadrant both the x and y will be negative

1st quadrant all x and y are positive

2nd quadrant y are positive but x are negative

and in 4th quadrant x are positive and y are negative.

if brainiest is earned its greatly appreciated

The church's goal for the fundraiser was $18,000. They exceeded their goal by 8%. How much money did they raise?

Answers

Answer:

Step-by-step explanation:

18000(1+8/100)

18000(108)/100

19440

A boy visiting New York City views the Empire State building from a point on
the ground, A, which is 940 feet from foot, C, of the building. The angle of
elevation of the top, B, of the building as seen by the boy is 53 degrees. Find the
height of the building to the nearest foot.

Answers

Answer:

49,820

Step-by-step explanation:

so what you were going to do first is you're going to do 940 * 53 there is which equals 2820 and then you're going to do turtle messes so then you're going to do 5 * 0 which equals zero then five times for which equals 20 + 5 * 9 which equals 45 + 2 which 45 + 2 equals 47 so you have 2820 + 47000 which equals 49,820

CALCULUS: Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = cos(t) - sin(t) and v(0) = 3.

A. v(t) = sin(t) + cos(t) + 3
B. v(t) = sin(t) + cos(t) + 2
C. v(t) = sin(t) - cos(t) + 3
D. v(t) = sin(t) - cos(t) + 4

I picked A., which was marked wrong, although I truly believe that is the answer because I got sin(t) - (-cos(t)) + 3. Please tell me whether you believe this is right or am I doing something wrong. I really want to learn/master this concept. Thanks is advance.

Answers

Answer:

B. v(t) = sin(t) + cos(t) + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Function Notation

Calculus

Antiderivatives - Integrals

Integration Constant C

Solving Integration Equations

Integration Property [Addition/Subtraction]:                                                         [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

*Note: Remember that the velocity function is the integral of the acceleration function/acceleration is the derivative of velocity.

[tex]\displaystyle v'(t) = a(t)\\v(t) = \int {a(t)} \, dt[/tex]

Step 1: Define

a(t) = cos(t) - sin(t)

v(0) = 3

Step 2: Integrate

Set up integral:                                                                                               [tex]\displaystyle v(t) = \int {cos(t) - sin(t)} \, dt[/tex][integral] Rewrite [Integration Property - Subtraction]:                                 [tex]\displaystyle v(t) = \int {cos(t)} \, dt - \int {sin(t)} \, dt[/tex][Integral] Trig integration:                                                                              [tex]\displaystyle v(t) = sin(t) - [-cos(t)] + C[/tex][Velocity Integration] Simplify:                                                                          [tex]\displaystyle v(t) = sin(t) + cos(t) + C[/tex]

Step 3: Find Function

We need to solve for the entire function, meaning we need to find constant C.

Substitute in given point [Velocity Integration]:                                           [tex]\displaystyle v(0) = sin(0) + cos(0) + C[/tex][Velocity Integration] Substitute:                                                                   [tex]\displaystyle 3 = sin(0) + cos(0) + C[/tex][Velocity Integration] Evaluate trig:                                                               [tex]\displaystyle 3 = 0 + 1 + C[/tex][Velocity Integration] Add:                                                                             [tex]\displaystyle 3 = 1 + C[/tex][Velocity Integration] Isolate C [Subtraction Property of Equality]:              [tex]\displaystyle 2 = C[/tex][Velocity Integration] Rewrite:                                                                       [tex]\displaystyle C = 2[/tex][Velocity Function] Substitute in C [Velocity Integration]:                           [tex]\displaystyle v(t) = sin(t) + cos(t) + 2[/tex]

Topic: Calculus

Unit: Basic Integration

Book: College Calculus 10e

The sum of the real numbers x and y is 25. Their difference is 13. What is the value of xy ? G. 100 H. 104 J. 114 K. 124

Answers

Answer:

J. 114

Step-by-step explanation:

x + y = 25

x - y = 13

2x = 38

x = 19

x = 25 - 19

x = 6

xy = (6)(19)

xy = 114

Mary ate x pounds of cherries. Leslie ate LaTeX: \frac{6}{9}6 9 more. Write an expression to represent how many pounds of cherries Leslie ate.

Answers

Answer:

The expression to represent number of cherries Leslie ate = ( x + [tex]\frac{6}{9}[/tex] ) pound.

Step-by-step explanation:

As given,

Mary ate cherries = x pound

And

Leslie ate [tex]\frac{6}{9}[/tex] more.

⇒Leslie ate cherries = ( x + [tex]\frac{6}{9}[/tex]  ) pound.

Use the volume formula to find the volume of the prism.

A. 21 cubic units
B. 27 cubic units
C. 42 cubic units
D. 9 cubic units

Answers

For prisms, the formula is b * h * w. You multiply the three numbers you are given to get 21 cubic units.

Answer: A

Step-by-step explanation:

Ax

umm pls help me ik how to do it but not sure on this specific one

Answers

9514 1404 393

Answer:

  -8, +9

Step-by-step explanation:

You need factors of (6)(-12) = -72 that have a sum of +1.

From your knowledge of multiplication tables, you know that 72 = 8·9. Then -72 = (-8)(9), and those two factors have a sum of +1.

  6x^2 +x -12

  = 6x^2 +9x -8x -12

  = 3x(2x +3) -4(2x +3)

  = (3x -4)(2x +3)

I need help with these 2

Answers

For the first one you need to do
x+2+x+2+2x+4+2x+4
=6x+12

When doing this kind of problem you should use FOIL
First, Outer, Inner, Last
(x+2)(2x+4)
First- x•2x= 2x^2
Outer- x•4= 4x
Inner- 2•2x= 4x
Last- 2•4= 8

Combined you have
=2x^2+8x+8

3. What do you call a polynomial with 3 terms?

Answers

Answer:

it's called a trinomial

Here is the assignment : You are "selling" the polynomial. You must convince the buyer you have the Best polynomial on the market by describing as many of its specific characteristics.
(Have fun and be creative, but most importantly, be accurate to avoid bad reviews)

Here is your Polynomial: f(x)=x^3-10x^2+28x-24

Answers

Step-by-step explanation:

A polynomial is an expression that can be built from constants and symbols called variables or indeterminates by means of addition, multiplication and exponentiation to a non-negative integer power. Two such expressions that may be transformed, one to the other, by applying the usual properties of commutativity, associativity and distributivity of addition and multiplication, are considered as defining the same polynomial.

A polynomial in a single indeterminate x can always be written (or rewritten) in the form

{\displaystyle a_{n}x^{n}+a_{n-1}x^{n-1}+\dotsb +a_{2}x^{2}+a_{1}x+a_{0},}a_{n}x^{n}+a_{n-1}x^{n-1}+\dotsb +a_{2}x^{2}+a_{1}x+a_{0},

where {\displaystyle a_{0},\ldots ,a_{n}}a_{0},\ldots ,a_{n} are constants and {\displaystyle x}x is the indeterminate.[2][3] The word "indeterminate" means that {\displaystyle x}x represents no particular value, although any value may be substituted for it. The mapping that associates the result of this substitution to the substituted value is a function, called a polynomial function.

This can be expressed more concisely by using summation notation:

{\displaystyle \sum _{k=0}^{n}a_{k}x^{k}}{\displaystyle \sum _{k=0}^{n}a_{k}x^{k}}

That is, a polynomial can either be zero or can be written as the sum of a finite number of non-zero terms. Each term consists of the product of a number – called the coefficient of the term[a] – and a finite number of indeterminates, raised to nonnegative integer

Br uh don’t even type “I can’t see the pic” Solve both problems and show ur work

Answers

Answer:

1.22

53.08

Step-by-step explanation:

4. We can find the quarter circle, we can find the whole triangle, lets do that

The circle is, 1/4*(1)^2*pi, which is 1/4pi

The triangle is, 2 * 2 divided by 2, which is 2

2 - 1/4pi gives us the shaded part or

2 - 1/4*3.14

2 - 0.785 = 1.215 rounded to 1.22

5. The area of a cylinder is pir^2h. r is 10, h is 1.2

12pi cm^3

we have 20 m^3 which is 2000 cm^3

Let's divide,

2000/37.68 = 53.078, rounded gives us 53.08

is the expression a^12 x a^4 equivalent to a^8 x a^8

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Properties of indices.

Here, we have to prove that, if the above exponential equation are equal or not., let's prove it

1.)L.H.S

a^12*a^4 = a^m*a^n ===> a^(m+n)

hence, a^(12+4) ===> a^(16)

2.) R.H.S

===> a^8*a^8 = a^(8+8) ==> a^(16)

since here, LHS = RHS

so both are equal.

On average, A person spends $240 every 3 months on their cell phone bill... What would the price be for 1 month be?... How much would this person pay over the course of one year?
Pls help me asap!!

Answers

Answer:

$81 for 1 month

$972 for 1 year

Step-by-step explanation:

Answer:

$80 for one month and $960 over the course of one year

Step-by-step explanation:

240 / 3 = 80

12 x 80 = 960

Two supplementary angles are in the ratio of 5 to 7. Find positive difference of the measure of the two angles. Do the same problem, only do it for complementary angles instead of supplementary angles.​

Answers

Answer:

30° is the difference if they are supplement

15° is the difference if they are complementary

Step-by-step explanation:

Let 5x = the measure of the smaller angle

and 7x =  the measure of the larger angle

If they are supplementary, then 5x + 7x = 180

                                                        12x = 180

                                                            x = 15

5x = 5(15) = 75 = the measure of the smaller angle

7x = 7(15) = 105 = the measure of the larger angle

105 - 75 = 30 = difference of the measures

Now, if they are complementary, then 5x + 7x = 90

                                                                   12x = 90

                                                                       x = 7.5

5x = 7(7.5) = 37.5 = the measure of the smaller angle

7x = 7(7.5) = 52.5 = the measure of the larger angle

52.5 - 37.5 = 15 = difference of the measures

For every pound a company spends on advertising, it spends £0.45 on its website. Express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form.

Answers

equals 1 dollar usdddddf 877

Which of the following is equivalent to sec x ?
A)adj/opposte
B)hypotenuse/adjacent
C)hypotenuse/opposite

Answers

ANSWER: B.) Hypotenuse/adjacent
The secant is a reciprocal of cosine.

what will A scale factor that is less than one produce

Answers

Answer:

When the absolute value of the scale factor is less than one, a compression occurs. When the absolute value of the scale factor is equal to one, neither an expansion nor a compression occurs.

Step-by-step explanation:

:)

cuánto es 30+30 me lo dices ​

Answers

Answer:

60

Step-by-step explanation:

3+3 es 6, después ponele el 0 al final

I need help with math

Answers

Answer:

0,-2        0,-5

2,-3          1,-4

Step-by-step explanation:

In AHIJ, h = 38 inches, i = 45 inches and j=61 inches. Find the measure of ZH to the nearest degree.

Answers

Answer:

38°

Step-by-step explanation:

Delta math

The sail of a boat is in the shape of a right triangle. Which expression shows the height, in meters, of the sail?

The sail of a boat is a right triangle with an acute angle equal to 35 degrees and the side of the sail which is the hypotenuse to the right triangle is 8 meters long.

cosine 35 degrees over 8
8(tan 35°)
tangent 35 degrees over 8
8(cos 35°)

Answers

Answer:

8(cos35)

Step-by-step explanation:

Your welcome.

The expression that models the height is  8 cos35

SOH CAH TOA identity

From the given information, we have the following

Hypotenuse = 8metersHeight  = adjacent

Using the SOH CAH TOA identity

cos theta = adj/hyp

cos 35 = adj/hyp

cos 35 = adj/8

Hyp  = 8 cos35

Hence the expression that models the height is  8 cos35

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Like seriously I gat no idea what the the answer is

Answers

The answer 25 bro good luck

A group of friends were working on a student film that had a budget of $900. They used 33% of their budget on equipment. How much money did they spend on equipment?​

Answers

They used 33/100 of their money on equipment which means if they have a budget of 900 dollars they used...

900*33/100=9*33=297 dollars on equipment.

The amount used on equipment is $297.

What is a percentage?

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Budget = $900

Percentage of the budget used.

= 33%

Now,

The amount of budget used.

= 33% of 900

= 33/100 x 900

= $297

Thus,

The amount used on equipment is $297.

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The sum of 2 of the exterior angles of a triangle is 222 degrees. What is the measure of the third exterior angle?

Answers

Answer:

Exterior angles always add up to 360 degrees, therfore 360 - 222 = 138

Step-by-step explanation:

360 - 222 = 138

the answer to your question is 138degrees.

For any shape the exterior angles will always add up to 260 degrees.

Hope this helps in the future!

Answer:

360 - 222 = 138

the answer to your question is 138degrees.

For any shape the exterior angles will always add up to 260 degrees.

Step-by-step explanation:

There are 5 4/5 cups of milk left in a carton. Write 5 4/5 as an improper fraction. Explain what the fraction represents in this situation.

Answers

Answer:

29/5

Step-by-step explanation:

multiple 5 times 5 to get 25 then at the 4 to get 29.

there are 29/5th cups of milk

a. a triangle with one right angle and two congruent sides​

Answers

Answer:

is an isosceles right triangle, angles 45, 45, & 90 degrees

Step-by-step explanation:

SO HARDDD
What is the square root of 267.8?

lol

“Stay close to anything that makes you glad you are alive.” – Hafez.

C h a t here Bradyn and Lis, plz. I keep getting logged out when I use the other one :p

Answers

Answer:

16.3645959315

Step-by-step explanation:

Can someone help me with my this?!

Answers

BC=54
Set 6x = 9x-27
Then solve
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