A linear model for the data in the table is shown in the scatter plot.

X Y
1 2
2 6
5 6
6 9 7 11
9 10
10 13

(A) which two points should you use to find the equation for the model?

(B) what is the slope of the linear model? Show your work.

(C) what is the equation of the linear model in point slope form?

(D) what is the slope-intercept form of the equation you wrote in part (c). Show your work.

(E) what is the equation for the least squares regression line? Round the values for a and b to three decimal places)

Please be detailed! I really need help!

A Linear Model For The Data In The Table Is Shown In The Scatter Plot. X Y1 22 65 66 9 7 119 10 10 13

Answers

Answer 1

a) The two points that should be used to find the equation are given as follows: (6,9) and (10,13).

b) The slope of the linear model is of 1.

c) The point-slope form of the linear model is given as follows: y - 9 = (x - 6).

d) The slope-intercept form of the equation you wrote in part (c) is given as follows: y = x + 3.

e) The least squares regression line is given as follows: y = 1.028x + 2.271.

What is the slope-intercept definition of a linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

m is the slope.b is the y-intercept.

Two points from the line are defined as follows:

(6,9) and (10,13).

These points were chosen as they have the least residual, that is, these points are the closest to the line of best fit.

Given two points, the slope is calculated as the change in y divided by the change in x, hence:

m = (13 - 9)/(10 - 6) = 1.

Considering point (6,9), the point-slope equation is given as follows:

y - 9 = (x - 6).

Hence the slope-intercept definition of the linear function is given as follows:

y - 9 = x - 6

y = x + 3.

The points from the scatter plot are given as follows:

(1,2), (2,6), (5,6), (6,9), (7,11), (9,10), (10,13).

Inserting these points into a linear regression calculator, the regression line is given as follows:

y = 1.028x + 2.271.

More can be learned about linear functions at https://brainly.com/question/24808124

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Related Questions

Please help ASAP
Please I’ll mark you as brainlister

Answers

Answer: 15.

Step-by-step explanation:

You divide the degrees by the side length. You get 15. So 15 is the answer.

15 divide by the sides

help me :) pls thx :)))))))))))))))))))))))

Answers

Answer:

-8m + 24 - 32n

Step-by-step explanation:

(-8)(m) + (-8)(-3) + (-8)(4n) = -8m + 24 - 32n

What is the answer (6 - 4) x 3

Answers

Answer:

its 6

Step-by-step explanation:

6-4=2

2*3=6

hope it helps

Hey there!

In order to answer this question, you have to do PEMDAS

• Parentheses

• Exponents

• Multiplication

• Division

• Addition

• Subtraction

“(6 – 4) • 3”

• FIRST: we have to work with inside the PARENTHESES

(6 – 4) = 2

• We can SKIP exponents because we DON’T have any EXPONENTS

• SECOND: we have to MULTIPLY

2 • 3 = 6

• We can SKIP the others (Division, Addition, and Subtraction) because we don’t need them

• Answer: 6 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)


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┃╰━╯┣╮
┃╭━╮┣┫
┃┃╱┃┃┃
╰╯╱╰┻╯

Answers

Answer:

Owwss

Step-by-step explanation:

How are you feeling in your home

what expressions are equivalent to 4×3/10​

Answers

Answer:

Hop. Answer ur question the answer is 13

Step-by-step explanation:

yeah hope i helped

12/10

6/5

It’s simple by Dividing

A cabinet holds 16 plates and
12 bowls. What is the ratio of plates
to bowls written in simplest form?

Answers

Answer:

4:3

Step-by-step explanation:

F.4/7
G.1/2
H.1/4
J.3/7

Answers

Answer:

• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier

Step-by-step explanation:

• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closin[tex]\sqrt{x} 67[/tex]g of the frontier

Can someone please please answer this and explain it? my math teacher didn’t :( will give brainliest points for explanation!!! (Ignore work above that was for a different question)

Answers

Answer:

QR = 1

Step-by-step explanation:

PR = PQ + QR

PR = x + 19

PQ = 9

So now put what you know in the equation above.

PR = 9 + 2x + 19

PR also equals x + 19

so

x + 19 = 9 + 2x + 19

x + 19 = 2x + 28

19 - 28 + x = 2x

-9 + x = 2x

-9 = 2x - x

-9 = x

===================

QR = 2x + 19

QR = 2*-9 + 19

QR = -18 + 19

QR = 1

This really is kind of a nasty question. You don't expect to get a minus number of x.

all parts please, i need this by the end of today and pls write answer in comments

Answers

Answer:

A

[tex] = \frac{78}{360} \\ = \frac{13}{60} [/tex]

B

[tex]let \: total \: number \: be \: x \\ \frac{13}{60} x = 1164 \\ x = \frac{1164 \times 60}{13} \\ x = 5372 \: movies[/tex]

C

A year has (4 × 12) weeks

= 48 weeks.

In 1 week = 9,568,000 movies

48 weeks = (48 × 9,568,000) movies

Average movies = 459.264 movies

D

Since 9.568 million movies are rented.

How about in one year ( 48 weeks )

Convert 1 year to weeks and compare with 1 week

Why did the lady not get arrested after she shot, drowned, and hanged her family?

Answers

Answer:

how is this a math question? ;-;

What is thisncnfnfnnfjdjdjd

Writer the ratio in 3 ways 4 books for every 25 shelves

Answers

Answer:

400:2500 , 40:250 ,and 4:25

Choose the equation of the line. y = 2x – 7 y = 2x + 11 y = –4x + 14 y = 3x +14

Answers

Answer:

y = 2x+11

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Can someone help me get extra credit in my class?
Geometry question easy

Answers

Answer:

the last one is true

Step-by-step explanation:

sin R=PQ/PR=TS/TR

One way to rename 5 3/10 is 4 8/10. True or False

Answers

Answer:

4 13/10

Step-by-step explanation:

im pretty sure this is right bc essentialy a group of one is because bc you took 1 away from 5 but it has to be 10 bc the denominator is 10 and then you addd the 10 to 3

Answer:

The statement above is false

Step-by-step explanation:

5 3/10= 5*10+3=53/10

now to simplify 53/10=1 43/10=2 33/10=3 23/10=4 13/10=5 3/10

So it's false.

help please thank you!!

Answers

She needs to go 13 floors up.
Well, if she starts off at the third floor below ground, that is basically counted as -3.
Now, if she needs to go to the 10th floor above ground level, we can simply subtract -3 from 10:
= 10 - (-3)
= 10 + 3
= 13
So, in conclusion, to go from her car to her office, she must go up 13 levels.
Glad I could help and have a fantastic day!
Also, can you please mark my answer as the brainliest answer?
Thanks.

Maya left her house and drove to the store. She stopped and went inside. From there,
she drove in the same direction until she got to the bank. She stopped and went
inside the bank. Then she drove home. The graph below shows the number of blocks
away from home Maya is 3 minutes after she left her house, until she got back home. How far away from her house was maya after 6 minutes?

Answers

It take her 20 minutes, but I don't know how the  graph looks like yet, so I can only tell you that xx=20

-Millie

Maya is 6 blocks away from her home after 6 minutes of driving.

What is reflection of a geometrical image? What is a mathematical function, equation and expression?                graph : A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is a graph in the question as shown in the image attached.

It can be seen that after 6 minutes of the home, Maya is 6 blocks away from the graph. The [y] coordinate corresponding to 6 minutes is 6 blocks away from the house.

Therefore, Maya is 6 blocks away from her home after 6 minutes of driving.

To solve more questions on graphical distances, visit the link below -

https://brainly.com/question/28531542

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which translation moves the point back to its original position?

Answers

T<1,-7> is the ans because the subtraction sign would go back to 7

if(x) = x + 2 and h(x) = x-1, what is f • h](-3)?

Answers

Answer/Step-by-step explanation:

Composition functions are functions that combine to make a new function. We use the notation ◦ to denote a composition.

f ◦ g is the composition function that has f composed with g. Be aware though, f ◦ g is not

the same as g ◦ f. (This means that composition is not commutative).

f ◦ g ◦ h is the composition that composes f with g with h.

Since when we combine functions in composition to make a new function, sometimes we

define a function to be the composition of two smaller function. For instance,

h = f ◦ g (1)

h is the function that is made from f composed with g.

For regular functions such as, say:

f(x) = 3x

2 + 2x + 1 (2)

What do we end up doing with this function? All we do is plug in various values of x into

the function because that’s what the function accepts as inputs. So we would have different

outputs for each input:

f(−2) = 3(−2)2 + 2(−2) + 1 = 12 − 4 + 1 = 9 (3)

f(0) = 3(0)2 + 2(0) + 1 = 1 (4)

f(2) = 3(2)2 + 2(2) + 1 = 12 + 4 + 1 = 17 (5)

When composing functions we do the same thing but instead of plugging in numbers we are

plugging in whole functions. For example let’s look at the following problems below:

Examples

• Find (f ◦ g)(x) for f and g below.

f(x) = 3x + 4 (6)

g(x) = x

2 +

1

x

(7)

When composing functions we always read from right to left. So, first, we will plug x

into g (which is already done) and then g into f. What this means, is that wherever we

see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)).

g(x) = x

2 +

1

x

(8)

f(x) = 3x + 4 (9)

f( ) = 3( ) + 4 (10)

f(g(x)) = 3(g(x)) + 4 (11)

f(x

2 +

1

x

) = 3(x

2 +

1

x

) + 4 (12)

f(x

2 +

1

x

) = 3x

2 +

3

x

+ 4 (13)

Thus, (f ◦ g)(x) = f(g(x)) = 3x

2 +

3

x + 4.

Let’s try one more composition but this time with 3 functions. It’ll be exactly the same but

with one extra step.

• Find (f ◦ g ◦ h)(x) given f, g, and h below.

f(x) = 2x (14)

g(x) = x

2 + 2x (15)

h(x) = 2x (16)

(17)

We wish to find f(g(h(x))). We will first find g(h(x)).

h(x) = 2x (18)

g( ) = ( )2 + 2( ) (19)

g(h(x)) = (h(x))2 + 2(h(x)) (20)

g(2x) = (2x)

2 + 2(2x) (21)

g(2x) = 4x

2 + 4x (22)

Thus g(h(x)) = 4x

2 + 4x. We now wish to find f(g(h(x))).

g(h(x)) = 4x

2 + 4x (23)

f( ) = 2( ) (24)

f(g(h(x))) = 2(g(h(x))) (25)

f(4x

2 + 4x) = 2(4x

2 + 4x) (26)

f(4x

2 + 4x) = 8x

2 + 8x (27)

(28)

Thus (f ◦ g ◦ h)(x) = f(g(h(x))) = 8x

2 + 8x.

Andrew can type 1.5 pages in 10 minutes. At this rate, how many pages can Andrew type in 1 hour? pls help me hurry have do be done today

Answers

Answer:

Andrew will be able to type 9 pages in 1 hour

Step-by-step explanation:

1.5 x 6 = 9

Hope this helped !

Answer:

9 pages

Step-by-step explanation:

because if he typed 1.5 in 10 min, then 1.5 times 6 equals 9

Write an exponential function that passes through the points:

1. (0,8),(1,12)

2. (0,3), (5, 16)

Answers

Answer:

If you have two points, (x1, y1) and (x2, y2), you can define the exponential function that passes through these points by substituting them in the equation y = abx and solving for a and b. In general, you have to solve this pair of equations: y1 = abx1 and y2 = abx2, .

we’re doing a review and i forgot like everything anyway please help :)

Answers

Well since it's better to teach you than answer, I'll give you an explanation using #1.

Answer:

6.88

Step-by-step explanation:

In the parentheses, 1.6 has one decimal place, and so does 4.3. (count number of digits after decimal point.) So a total of 2 decimal places. (1) + (1) = (2)

Next, ignore the decimal points for now and multiply 16 × 43 = 688.

Add in the 2 decimal places, 6.88, there is your answer!

a:b is 13:4
c:b is 7:3
what is a:c

Answers

13:7 is your answer my friend

Which of the following expression is equivalent to

Answers

Answer:

C

Step-by-step explanation:

No, the answer is C because when you raise a number to a negative exponent it is equivalent to one over the number to the same exponent, but positive. So, [tex]6^{-7} = \frac{1}{6^{7}}[/tex] and not [tex]\frac{1}{6^{-7}}[/tex].

You are hiring a limousine. One company charges a $60 reservation fee plus another $15 per hour. A second company charges a $25 reservation fee plus another $20 per hour. Write and solve a linear equation to find the number of hours at which the total cost is the same for both companies.

Answers

Answer:

7 hours

Step-by-step explanation:

Step one:

given data

let the total charges be y and the number of hours be x

Company A charges

$60 reservation fee plus another $15 per hour.

so

y=60+15x----------1

Company B charges

$25 reservation fee plus another $20 per hour

y=25+20x------------2

Step two:

equate the 2 expressions above we have

60+15x=25+20x

collect like terms

60-25=20x-15x

35=5x

divide both sides by 5

x= 35/5

x= 7 hours

I am having a hard time with basic geography pls help​

Answers

The answer is 53 degrees

Answer:

Geography? You mean middle school math? But anyways, the measure of angle 6 is 143 degrees.

Step-by-step explanation:

So, all the angles that measure 37 degrees are 1, 4, 5, and 8. First, you know that 37 + x = 180. Now, do 180 - 37. You should get 143, you are welcome.

what percentage of a dollar is a half cent

Answers

Answer:50

Step-by-step explanation:

Answer: 0.005

Step-by-step explanation:

Half a dollar is 0.50.

1 cent of a dollar is 0.01.

half of 0.01 is 0.005

Please answer correctly !!!!!!!!!!!!!! Will Mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 30

Step-by-step explanation:

well from the theorem we have

[tex]\frac{15}{3}=\frac{x}{6}[/tex]

yes i know you could say that the right way is

[tex]\frac{3}{15}=\frac{6}{x}[/tex]

well if you notice they are the same only that in my way the x is in the numerator which means it will be far easier to know it's value :)

so

[tex]\frac{15}{3}=\frac{x}{6}\\\\5=\frac{x}{6}\\\\6[5]=6[\frac{x}{6}]\\\\30=x[/tex]

how to calculate directly propotonal

Answers

Answer: Direct Proportion

In mathematical statements, it can be expressed as y = kx. This reads as “y varies directly as x” or “y is directly proportional as x” where k is constant in the equation. Example: y is directly proportional to x, when x = 15, y = 30.

ii) Find the value of if the pair of parallel lines are cutting by a transversal and give reason for your answer

Please help me :(

Answers

Answer:

50

Step-by-step explanation:

When two parallel lines are cut by a transversal, we see that same side exterior angles sum to 180 degrees.

It's like the blue angle and the green angle add together to sum 180. So you can construct an equation knowing this to find what x is:

[tex]2x+30+x=180\\3x+30=180\\3x=180-30\\3x=150\\x=\frac{150}{3}\\x=50[/tex]

(The reason for the answer is the first line I wrote)

DOES ANYONE KNOW THIS?? PLEASE HELP ME ON MY GEOMETRY

Answers

Step-by-step explanation:

Arrow JK=360-54-130-110=66

arrow MK=66+54=120

Angle L=120/2=60

3a=60

a=30

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