Use quadratic regression to find a function that fits the following points. (-2,-16), (3,11), (0,2).

Answers

Answer 1

Answer:

  y = -1.2x² +6.6x +2

Step-by-step explanation:

The quadratic regression function of a calculator or spreadsheet can do this for you. The resulting function is ...

  y = -1.2x² +6.6x +2

_____

If you want to do this by hand, put the given (x, y) values into the formula ...

  ax² +bx +c = y

and solve the resulting system of equations.

The third point tells you c=2, so you can simplify the system of equations to ...

  a(-2)² +b(-2) +2 = -16   ⇒   4a -2b = -18   ⇒   2a -b = -9

  a(3)² +b(3) +2 = 11   ⇒   9a +3b = 9   ⇒   3a +b = 3

Adding these equations together gives ...

  (2a -b) +(3a +b) = (-9) +(3)

  5a = -6 . . . . . . . . simplify

  a = -1.2 . . . . . . . divide by 5

  b = 3 -3a = 3 -3(-1.2) = 6.6 . . . . from the second equation

Now we know the coefficients are a=-1.2, b=6.6, c=2, so the function is ...

  y = -1.2x² +6.6x +2

Use Quadratic Regression To Find A Function That Fits The Following Points. (-2,-16), (3,11), (0,2).

Related Questions

an athlete trains by running 300m eight times and 200m six times. How far does he run in kilometres?

Answers

300 x 8 + 200 x 6 = 2400 + 1200 = 3600m
1km = 1000m
3600 : 1000 = 3,6km

432 + 26 × 10 (Use PEMDAS and show steps to how you got the answer) Plsss help me somebody :)​

Answers

Using PEMDAS, the result of the expression is 692

The expression is given as:

432 + 26 * 10

Using PEMDAS, we start by evaluating the products

So, we have:

432 + 26 * 10 = 432 + 260

Using PEMDAS, we then evaluate the sum

432 + 26 * 10 = 692

Hence, the result of the expression is 692

Read more about mathematical operations at:

https://brainly.com/question/2475734

Solve for x, then find each angle measure

Answers

(4x-22)+(10x-4)+(x+11)=180
x=13

Answer:

x=13

Q=30

P=126

R=24

Step-by-step explanation:

To find x put them all into an equation like this:

(4x-22)+(10x-4)+(x+11)=180 (we get 180 because all three angles of any triangle always equal 180)

calculate and you'll get x=13.

then to find each angle just put 13 in place of x

4(13)-22=30

10(13)-4=126

(13)+11=24

An envelope is 6 in. wide and 4 in. high. Will a card with an 8 in. diagonal fit in it? Identify the correct explanation.

A) Because 7.2 < 8, it is possible that the card fits in the envelope.
B) Because 8.9 > 8, it is possible that the card fits in the envelope.
C) Because 7.2 < 8, it is NOT possible that the card fits in the envelope.
D) Because 8.9 > 8, it is NOT possible that the card fits in the envelope.

Answers

First we have to find the diagonal of the card. We do this by using the Pythagoras theorem: A^2 = b^2 + c^2
= 6^2 + 4^2
=36 + 16
= 52
A^2= 52
Sqrt A^2 = sqrt 52
A = 7.2
Since the envelopes diagonal is 7.2 inches and the card’s diagonal is 8 inches and 7.2<8. Your answer is c)

Decide which of the following numbers does not belong in the group.


108

502

603

360


And why does it not belong?

Answers

Answer:

603 because it’s odd

360 because it doesn’t have a 0 in the tens place

502 because the sum of the digits doesn’t equal 9

f(x)=-3x^2 find f(-2)

Answers

Answer:

12

Step-by-step explanation:

f(-2)=3(-2)^2

f(-2)=3(4)

f(-2)=12

Help!!! can someone answer these, Thank You!

Answers

I think we need to see question number 2 since number 3 is sequential and can’t be answered without it

At a local grocery store, 7 lb of squash cost $14.00
and 4 lb of tomatoes cost $10.00.

Answers

Answer:

1 LB of tomatoes is $2.50 and 1 LB of squash is $2.00

Step-by-step explanation:

How to find missing angle of a right triangle given 2 sides

Answers

Answer:

As a rule of thumb, if you know only the two shorter side, their ratio is the tangent of the angle opposed to the side you use as a numerator.

If you know one side and the hypotenuse, the ratio side/hypotenuse is either the sine of the opposite angle, or the cosine of the adjacent angle.

At 12:05, a

parachutist is 8000 feet above the ground.

At 12:08, the parachutist is 5400 feet

above the ground. Find the average rate of

change in feet per minute.

Answers

Above the ground at goo feet

Which expression represents the area of this figure in square feet?

Answers

Answer:

(3×2) + (3×4)

Step-by-step explanation:

One box's area is 3×2 and the other box's area is 3×4, so when you add them, you get the total area.

Write down an equation of the line that is perpendicular to y=2x+5
I will mark as brainliest

Answers

Answer:

y = -1/2x +5

Step-by-step explanation:

The perpendicular slope will be the negative reciprocal of the original slope

the reciprocal of 2 is 1/2, and the negative of that is -1/2

Consider the two linear expressions. -(-3 -60 – 3) and 3.5 – 60 Are the two linear expressions equivalent? Drag a word or phrase to the box to correctly complete the statement​

Answers

just doing this so i can ask a question

does the right riemann sum underestimate or overestimate

Answers

That depends on the function in question.

If f(x) is integrable and non-decreasing, then the right Riemann sum overestimates the integral of f.

If f is non-increasing, the right Riemann sum underestimates the integral.

help me please!!!!!! 20 points!

Answers

Answer:

Step-by-step explanation:

2x = x + 40

2x - x = x - x + 40

x = 40

∠I = ∠Q = 33°

∠H = ∠P = 80°

∠J = ∠R = 67°

What are the solutions to the equation sin(x+7pi/2)=-sqrt 3/2

over the interval [0,2pi]?

Answers

Answer: C: pi/6 and 11pi/6 only

Step-by-step explanation:

Edge2020 :]

-10x + 2y = 12
What is each equation in slope intercept form

Answers

Answer:

[tex]y = 5\, x + 6[/tex].

Step-by-step explanation:

The slope-intercept equation of a line in a plane should be in the form [tex]y = m\, x + b[/tex] for some constant [tex]m[/tex] ("slope") and constant [tex]b[/tex] ([tex]y[/tex]-"intercept".)

In the slope-intercept equation, [tex]y[/tex] should be the only term on the left-hand side of the equation with a coefficient of [tex]1[/tex]. No term on the right-hand side shall include [tex]y\![/tex].

Rewrite the given equation to obtain the slope-intercept equation of this line.

[tex](10\, x) + (-10\, x) + 2\, y = (10\, x) + 12[/tex] (Add [tex]10\, x[/tex] to both sides of this equation.)

[tex]2\, y = 10\, x + 12[/tex].

[tex]y = 5\, x + 6[/tex]. (Divide both sides by [tex]2[/tex], such that the coefficient of [tex]y[/tex] becomes [tex]1[/tex] as required.)

Therefore, the slope-intercept equation of this line would be [tex]y = 5\, x + 6[/tex], with slope [tex]m = 5[/tex] and [tex]y[/tex]-intercept [tex]b = 6[/tex].

In ΔIJK, i = 16 inches, j = 22 inches and k=12 inches. Find the area of ΔIJK to the nearest 10th of an square inch.

Answers

Answer:

86.2 in squared

Step-by-step explanation:

Harons formula

Answer:

93.7

Step-by-step explanation:

radius equal to 15 cm what is the circumference of the circle​

Answers

Given:

Radius = 15 cm

To Find:

Circumference of the circle

Let's start.

We know that the formula of Circumference is

[tex] \sf \longmapsto2\pi r[/tex]

Put the values We know that the formula of [tex]\sf\pi[/tex] is 3.14Radius given is 15 centimetre

[tex] \sf \longmapsto \: 2 \times 3.14 \times r[/tex]

[tex] \sf \longmapsto2 \times 3.14 \times( 15 \: cm)[/tex]

[tex] \sf \longmapsto6.28 \times (15 \: cm)[/tex]

[tex] \sf \longmapsto94.2 \: cm[/tex]

[tex] \boxed{\red{\boxed{\sf 94.2 \: cm}}}[/tex]

Can somebody answer this?

Answers

Answer:

its A

Step-by-step explanation:

help plssss PLSS I BEG YOu

Answers

Answer: Just Try to Do somthing because i cant tell you the Answer

Step-by-step explanation:

Lindsey's new car travels 93 miles on 3 gallons of gasoline. how many gallons are needed to travel 310 miles?

Answers

Amswer: 10 gallons of gasoline

Explanation: you first should find how many miles per gallon Lindsey gets by dividing 93 by 3, which gives you 31miles per gallon then divide 310 by 31 which will give you how many gallons of gas Lindsey will need.

The arithmetic mean of the heights of five pupils in a class is 164cm if another pupil whose height is 168cm joins the class, calculate the arithmetic mean of the heights of the 6 pupils​

Answers

Answer:

164.67 cm

Step-by-step explanation:

The arithmetic mean of height of 5 pupils is 164cm . Let the sum of heights of 5 pupils be x . Then , according to the question ,

[tex]\sf\longrightarrow \dfrac{x}{5}= 164cm [/tex]

On solving ,

[tex]\sf\longrightarrow x = 5*164cm =\bf{820cm}[/tex]

When a student of height 168cm is added ,

[tex]\sf\longrightarrow Mean = \dfrac{820cm+168cm}{6}\\[/tex]

[tex]\sf\longrightarrow Mean = \dfrac{988}{6}\\ [/tex]

[tex]\sf\longrightarrow \boxed{\pink{\sf Mean = 164.66 \approx 164.67 cm }}[/tex]

Evelyn bought snacks for her team's practice. She bought a bag of chips for $2.99 and
a 20-pack of juice bottles. The total cost before tax was $36.39. Write and solve an
equation which can be used to determine i, how much each bottle of juice costs.

Answers

(36.39- 2.99)/20

Total- chips, so total amount for juice.

Then, divide by 20 because she bought 20 bottles

Answer:

1.67

Step-by-step explanation:

36.39 - 2.99 = 33.4 33.4 ÷ 20 = 1.67

insane in the membrane​

Answers

hahaha hahaha crazy x

A truck rental is $25 plus $.30/mi. Find out how many miles Ken traveled if his bill was $50.20.

Answers

Lets start by finding the equation.

25 is the constant, .3 is the slope, and 50.2 is the final.

This means that our equation is:

50.2 = .3x + 25

50.2 - 25 = .3x

25.2 = .3x

25.2 / .3 = x

84 = x

This means that Ken travelled 84 miles if his bill was $50.2.

I hope this helps! :)

If 5 boxes of cereal cost $27.50, how much does one box of cereal cost? a) $5.50 b) $5.05 c) $550 d) .55​

Answers

}

Answer:B

Step-by-step explanation: I said that because you have 27 and 50 Cent so basically you won't have that $5 in that picture because you still going to have that $0.04 and then you still have to have that much so I I think I am right but if I'm not I'm so sorry but I'm taking not even to get I'm trying to get back on track but I think is b for a reason like I think you could be because you have 27 and 50 Cent so if you got twenty-seven fifty cents you just rounding it down

Answer:

ans is i think a) $5.50

Step-by-step explanation:

'cuz if 5 boxes cost $27.50

so it will be

[tex]27.50 \div 5 \\ = 5.50[/tex]

A group of 12 adults and 26 children go to a theme park.
The total cost of tickets is £1804.80.
An adult's ticket costs £51.60
Find the cost of a ticket for a child.

Answers

Answer:

I don't have the Pound Sterling sign on my keyboard but the answer is $45.60

Step-by-step explanation:

Since each adult ticket costs $51.60 and there are 12 adults

The total cost of adult tickets = $51.60*12=$619.20

Then take the total cost of tickets and subtract $619.20 from it

$1804.80-619.20=$1185.60 that's the total cost of children's tickets

Since there are 26 children you have to divide that answer by 26 to get it

$1185.60/26=$45.60

What multiplication product is represented by this grid

Answers

Answer: 0.07 x 5

There are 35 colored out of the 100 = 35%

35% = 0.35 = 0.07 x 5

What is the value of p?
p + 2 - 4= 14
Drag and drop the correct answer in the box.

Answers

p + 2 - 4 = 14
p - 2 = 14
p = 14 + 2
p = 16

Answer:

p = 16

Step-by-step explanation:

(p + 2) - 4 = 14

We can just drop the parentheses:_

p + 2 - 4 = 14

p - 2 = 14

Add 2 to both sides:-

p - 2 + 2 = 14 + 2

p = 16

Other Questions
Please I did help with this Beautinator Cosmetics borrowed $152,300 from a bank for three years. If the quoted rate (APR) is 11.75 percent, and the compounding is daily, what is the effective annual rate (EAR) HELP ME ASAP!!!!!!!!!MAY MAY KAYLANGAN KO NIYAN PERO MAY DESIGN PICTURE NIYO The name of a literary work entitled Gullivers Baubbles is an example of which literary style? How does Old Major use his power over the other animals ? help me plz hey the answer questions what are some events that took place in washington d.c. on veterans day? When more than two species are interacting, and evolutionary change in one causes change in one or more of the others, it is known as: how much one dinar was worth in 1000 CE write 13/19 as a decimal rounded to the nearest hundred Which economic crisis was worse The Panic of 1837 or The Financial Crisis of 2008? PLEASE HELP ME ASAP Prisha has lived her whole life with a violent parent. She learned to hide when her father gets home because his temper is unpredictable. One afternoon, her father comes in very angry. Prisha is trying to make dinner but her father begins to push her toward the stove and around the kitchen. Prisha is so scared because he seems to be out of his mind. As he lifts his fist toward her, Prisha grabs the knife she has been using to cut vegetables and thrusts it blindly toward him so that he will not hit her. The knife hits her father in the neck, causing his death. When arrested, what crime will Prisha MOST likely be charged with? A. first-degree murder B. second-degree murder C. voluntary manslaughter D. involuntary manslaughter please answer fast please a solution of HCI contains 36 percent HCI,by mass and calculate the mole fraction of HCI in the solution? five ponts if there in no existence of planet earth in our solar system what is linguistics? Although we consume different foods, the parts are eventually used in cellular respiration. Does it matter if they originate from crickets or cows or candy bars? Simplify each expression.1.) 50 1/2 + (-12.3)2.) -50 1/2 + (-12.3)3.) -50 1/2 + 12.3Please and thanks! (I'm horrible at my math) How many grams are in 0.39 moles of water 21. How would the colonization of America affect Timbuktu? It would Increase the demand for gold from Africa as new markets opened in the Americas. It would decrease the demand for African gold as Europe acquired gold from Its American colonles.It would cause the price of gold to Increase so that West African kingdoms became even more prosperous.It would have little effect on Timbuktu since its gold markets were not primarily European.