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

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]

-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].

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.

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

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

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

insane in the membrane​

Answers

hahaha hahaha crazy x

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

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

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)

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

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.

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

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

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

help plssss PLSS I BEG YOu

Answers

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

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]

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.

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

Can somebody answer this?

Answers

Answer:

its A

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.

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°

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

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:

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]

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

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

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 :]

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:

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! :)

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