The least-squares regression equation
y = 8.5 + 69.5x can be used to predict the monthly cost for cell phone service with x phone lines. The list below shows the number of phone lines and the actual cost.

(1, $90)
(2, $150)
(3, $200)
(4, $295)
(5, $350)

Calculate the residuals for 2 and 5 phone lines, to the nearest cent.

The residual for 2 phone lines is $___


The residual for 5 phone lines is $___

Answers

Answer 1

Answer:

First one: 2.5

Second: -6

8.5+69.5(5) = 147.5

150 - 147.5 = 2.5

8.5 + 69.5(5) = 356

350 - 356 = -6

ED2021

Answer 2

The residual for 2 phone lines is $2.5.

The residual for 5 phone lines is -$6.

What is the residual in a least-square regression equation?

The residual is the vertical distance separating the observed point from your expected y-value, or more simply put, it is the difference between the actual y and the predicted y.

How to solve the question?

In the question, we are asked to find the residual for 2 and 5 lines using the least-squares regression equation y = 8.5 + 69.5x and the actual costs given to us.

We know that the residual is the vertical distance separating the observed point from your expected y-value, or more simply put, it is the difference between the actual y and the predicted y.

Thus for 2 phone lines:-

Actual Cost = $150.

Predicted Cost, y = 8.5 + 69.5*2 = 147.5.

Residual = Actual Cost - Predicted Cost = 150 - 147.5 = $2.5.

Thus, the residual for 2 phone lines is $2.5.

Thus for 5 phone lines:-

Actual Cost = $350.

Predicted Cost, y = 8.5 + 69.5*2 = 356.

Residual = Actual Cost - Predicted Cost = 350 - 356 = -$6.

Thus, the residual for 2 phone lines is -$6.

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Related Questions

!!PLEASE ANSWER ASAP!!

Simplify 1 - x - X/1

A) X
B) 1
C) 0

Answers

C because it needs it

In GeoGebra, display the slope of AB and the slope of the perpendicular line passing through C. Use this to verify your responses in parts B and C. Then move points A, B, and C on the grid to several different locations, and record the slopes of the two lines and the coordinates of A, B, and C.

Answers

Answer:

plato screenshot!

Step-by-step explanation:

I don't personally know *how* to find the answers, but here's the screenshot of the suggested answer on Plato

Answer:

A B Slope of  C Slope of Line Through C

(−5,4) (−1,−1) −1.25 (1,2) 0.8

(−5,4) (−3, 5) 0.5 (−2, 1) −2

(−4, 1) (−3, 5) 4 (−2, −2) −0.25

(−5, −2) (−1, 1) 0.75 (−4, 3) −1.33

(−5, −2) (1, −1) 0.17 (−3, 1) −6

Step-by-step explanation:

that way you can copy and paste each one but Plato

The polynomial P is graphed.
5+
P
4+
3

-3
-2
-1
1
-2+
-3+
-4-
What is the remainder when P(x) is divided by (x + 2)?

Answers

Answer:

-4

Step-by-step explanation:

The remainder when P(x) is divided by (x + 2) is P(-2) which is - 4

find the angle and area of shaded region​

Answers

Area of shaded region = 1/2(πr²)

= 1/2(22/7×3×3)

= 99/7

= 99/7×2

= 198/7 cm^2

Thats the total area of the shaded region

Must click thanks and mark brainliest

Question 2 of 10
Which pair of functions are inverses of each other?
O A. f(x) = i +15 and g(x) = 12x - 15
O B. f(x) = - 10 and g(x) = 2410
O C. f(x) = y3x and g(x) = (3) 3
O D. f(x) = 11x- 4 and g(x) = 4
SUBMIT

Answers

Answer:

option c f(x)=-10and g(x)=2410

What is the distance between the following points?
WILL GIVE BRAINLIEST

Answers

Answer:

D.√85

Step-by-step explanation:

We can find the distance between two points using the distance between two points formula

Distance between two points formula:

d = √(x2 - x1)² + (y2 - y1)²

Where the x and y values are derived from the given points

We are given the two points (-2,7) and (7,9)

Using these points let's define the variables ( variables are x1, x2, y1, and y2)

Remember points are written as follows (x,y)

The x value of the first point is -2 so x1 = -2

The x value of the second point is 7 so x2 = 7

The y value of the first point is 7 so y1 = 7

The y value of the second point is 9 so y2 = 9

Now that we have defined each variable let's find the distance between the two points

We can do this by substituting the values into the formula

Formula: d = √(x2 - x1)² + (y2 - y1)²

Variables: x1 = -2, x2 = 7, y1 = 7, y2 = 9

Substitute values in formula

d = √(7 - (-2))² + (9 - 7)²

Evaluation:

The two negative signs cancel out on 7-(-2) and it changes to +7

d = √ (7+2)² + (9-7)²

Add 7+2 and subtract 9 and 7

d = √ (9)² + (2)²

Simplify exponents 9² = 81 and 2² = 4

We then have d = √ 81 + 4

Finally we add 81 and 4

We get that the distance between the two points is √85

Last week, you spoke with 800 customers in 40 hours."
Employee: "That is an average of __________ customers every 30 minutes."

Answers

Answer:

10 customers

Step-by-step explanation:

Hi!

Each hour has 60 minutes, so two half hour (30 minute) blocks. Thus, 1 hour = 2 half hours, so 40 hours = 80 half hours.

800 customers in 80 half hours, divide that:

800 customers / 80 half hours = 10 customers / half hour

So, your answer is 10 customers every half hour, or 10 customers every 30 minutes.

Average is [tex]10[/tex] customers per hour

Average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.

Total number of customers [tex]=800[/tex]

Total number of hours [tex]=40[/tex]

                                      [tex]=40\times 60[/tex]

                                      [tex]=2400[/tex] minutes

Average (in every [tex]30[/tex] minutes)  [tex]=[/tex] Total number of customers [tex]\div[/tex] Total number of hours

                                                   [tex]=\frac{800}{2400 \div 30}[/tex]

                                                   [tex]=10[/tex] customers per hour

For more information:

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Destiny just received two separate gifts from her great-great-grandmother.
The first gift is a box of 18 chocolate candy bars, and the second gift is a pack of 12 cookies.
Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins.
What is the greatest number of snack bags that Destiny can make?

Answers

Answer:

Destiny will be able to create 12 identical snack bags.

Step-by-step explanation:

Given that a snack bag will be 1 chocolate candy bar, and 1 cookie, we have to subtract 1 chocolate for every cookie she has, and that will leave us with 6 chocolate bars left. The equation for this is 18 - 12 = 6.

What is the formula for margin of error?

Answers

Answer:

ME = z*s /√n

Step-by-step explanation:

The margin of error is obtained as the product of the critical value of the distribution at a certain α-level and the standard error :

The critical value = Z*

The standard error = standard deviation / √sample size

Standard deviation = s

Sample size = n

Margin of Error = z * s/√n

A study of the effects of color on easing anxiety compared anxiety test scores of participants who completed the test printed on either soft yellow paper or on harsh green paper. The scores for five participants who completed the test printed on the yellow paper were 17, 19, 28, 21, and 1 8. The scores for four participants who completed the test on the green paper were 20, 26, 17, and 24. Using the .05 level, test the researcher's prediction that participants should have lower anxiety scores when taking the test on the yellow paper than when taking the test on the green paper. What is the research hypothesis

Answers

Answer:

H0 : μYellow = μGreen

H1 : μYellow < μGreen

Step-by-step explanation:

Let :

Yellow paper = μYellow

Green paper = μGreen

To test the hypothesis :

The null hypothesis is will state that there is no difference in mean of anxiety scores obtained for test taken of yellow and green papers

H0 : μYellow = μGreen.

The alternative hypothesis is the opposite of the null and it is to the left, where we want to test if the anxiety score is lower when take on a yellow paper

H1 : μYellow < μGreen

A rocket is fired upward with an initial velocity v of 100 meters per second. The quadratic function S(t)=-5t^2+100t can be used to find the height s of the rocket, in meters, at any time t in seconds. Find the height of the rocket 7 seconds after it takes off. During the course of its flight, after how many seconds will the rocket be at a height of 450 meters?

Answers

The rocket will be at the height of 450metres at 13.16secs and 6.84secs

Given the expression modeled by the height S(t)=-5t^2+100t where

t is the time taken by the rocket to take off

s is the height traveled by rocket

In order to find the height of the rocket 7 seconds after it takes off, we will substitute t = 7 into the equation

S(7) = -5(7)²+100(7)

S(7) = -5(49)+700

S(7) = -245+700

S(7) = 455metres

Hence the height of the rocket 7 seconds after it takes off is 455metres

Given that S = 450m, we can also get the time taken by the rocket at this height.

Recall that S(t)= -5t²+100t

450 = -5t²+100t

Rearrange

-5t²+100t - 450 = 0

5t²-100t + 450 = 0

Divide through by 5

t²-20t + 90 = 0

On factorizing above equation;

t= 10+√10 or t=10−√10

t = 10+3.1623 or 10 - 3.1623

t = 13.16 and 6.84secs

Hence the rocket will be at the height of 450metres at 13.16secs and 6.84secs

Learn more here: https://brainly.com/question/1063981

The faces of all prisms are _____________.
triangles
circles
parallelograms
trapezoids

Answers

C parallelograms.

Rectangular prisms and cubes have faces that are parallel

A vending machine dispenses coffee into a twenty-ounce cup. the amount of coffee dispensed into the cup is normally distriubuted with a standard deviation of 0.03 ounce. You can allow the cup to overfill 2% of the time. What amount should you set as the mean amount of coffee to be dispensed?

Answers

Answer:

x=20.938

Step-by-step explanation:

-2.053748911 = (x - 21)/.03

x=20.938

Please help! Thank you!!!!!

Answers

9514 1404 393

Answer:

f(x) = x² -3g(x) = 6x +7h(x) = 3^x

Step-by-step explanation:

f(x) is copied from the problem statement.

g(x) is a symbolic representation of the English wording, using x to represent "a number."

h(x) is the exponential function that corresponds to the geometric sequence in the table. It has a common ratio of 3, and a multiplier of 1 at x=0.

Please help explanation if possible

Answers

Answer:

N=18

Step-by-step explanation:

Hope it will help you

If it does pls give me Brainlest

Have a nice day

Answer:

18

Step-by-step explanation:

use the concept of similarity and enlargement.

[tex] \frac{15}{n} = \frac{5}{6 } [/tex]

[tex]n = \frac{15 \times 6}{5} [/tex]

[tex]n = 18[/tex]

Question Which of the following is a benefit of using email to communicate at work ? a) You can express yourself in a limited number of characters b) You don't have to worry about using proper grammar. c) You always get a response right away. d ) You can reach a large audience with one communication .

Answers

Answer:

d) you can reach a large audience with one communication

Step-by-step explanation:

common sense

If a < 0 and b > 0, then which of the following is true?
Select one:
a. a + b > 0
b. a + b < 0
c.
a + b = 0
d.
The relationship between a and b cannot be determined.

Answers

Answer:

d. The relationship between a and b cannot be determined.

Step-by-step explanation:

Given

[tex]a < 0[/tex]

[tex]b > 0[/tex]

Required

Which is true

To do this, we test each of the options using assumed values

[tex]a + b > 0[/tex]

Let:

[tex]a = -5[/tex]       [tex]b= 1[/tex]

So:

[tex]-5 + 1 > 0[/tex]

[tex]-4 > 0[/tex] --- false

[tex]a + b < 0[/tex]

Let:

[tex]a = -5[/tex]       [tex]b= 7[/tex]

So:

[tex]-5 + 7 < 0[/tex]

[tex]2 < 0[/tex] --- false

[tex]a + b = 0[/tex]

Let:

[tex]a = -5[/tex]       [tex]b= 7[/tex]

So:

[tex]-5 + 7 = 0[/tex]

[tex]2 = 0[/tex] --- false

Hence, the relationship is not specific and cannot be determined

700,000 rounded to the nearest hundred thousand

Answers

Answer:

700,000

Step-by-step explanation:

700,000 is already a 100,000, therefore there is no rounding to do.

Answer:

700,000 is the answer

Step-by-step explanation:

Find the nominal rate jm equivalent to the annual effective rate j, if (a) j= 6%, m = 2; (b) j = 9%, m = 4; (c) j = 10%, m = 12; (d) j = 17%, m = 365; (e)j = 8%, m = 52; j = 11.82%, m = 00. Ans. (a) 5.91%; (b6) 8.71%; (e) 9.57%; (d) 15.70%; (e) 7.70%:

A consumer buys goods worth $1500, paying $500 down and $500 at the end of 6 months. If the store charges interest at j1a = 18% on the final payment will be necessary at the end of one year? ​

Answers

Peer maamanana is the Jane homier

i 0 -i
8. If P=0 -i i
-i i 0
pois ecual to
then PQ is equal to
and Q=00
i -i.
(-2 2
1 -1
1
2 -2
-1
1
(1)
(
2)
-1
2 -2
-1 1
(3)
1 0 0
0 1 0
0 0 1
(4)

Answers

Answer:

-2 maybe

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

14) Students at East Central High School earned $246
selling pennants. They want to make $3810 for a
club trip. What percent of their goal has been
reached? Round to the nearest tenth of a percent,
if necessary.

Answers

Answer:

6.46%

Step-by-step explanation:

246 ÷ 3810 × 100% = 6.46%

Given the function f ( x ) = { 6 x − 4 x < 0 6 x − 8 x ≥ 0 Calculate the following values: f ( − 1 ) = f ( 0 ) = f ( 2 ) =

Answers

Answer:

[tex]f(-1) = -10[/tex]

[tex]f(0) =- 8[/tex]

[tex]f(2) = 4[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 6x - 4[/tex] --- [tex]x < 0[/tex]

[tex]f(x) = 6x - 8<0[/tex] -- [tex]x \ge 0[/tex]

Solving (a); f(-1)

Here [tex]x= -1[/tex]

[tex]-1 < 0[/tex], so:

[tex]f(x) = 6x - 4[/tex]

[tex]f(-1) = 6 *-1 -4[/tex]

[tex]f(-1) = -10[/tex]

Solving (b); f(0)

Here [tex]x = 0[/tex]

[tex]0 \ge 0[/tex], so:

[tex]f(x) = 6x - 8[/tex]

[tex]f(0) = 6*0 - 8[/tex]

[tex]f(0) =- 8[/tex]

Solving (c) f(2)

Here [tex]x = 2[/tex]

[tex]2 \ge 0[/tex], so:

[tex]f(x) = 6x - 8[/tex]

[tex]f(2) = 6*2 - 8[/tex]

[tex]f(2) = 4[/tex]

What lines are parallel?

Answers

Answer:

Parallel lines are lines that never intersect or touch

No image? No help. Sorry if this doesn’t help

construct a 3×3 matrix aij=3j-2i​ Hellpppp ASAP

Answers

[tex]a_{ij}=3j-2i[/tex] is the formula for (i, j )-th entry (row i, column j ) of the matrix. So the matrix would be

[tex]\begin{bmatrix}3\times1-2\times1&3\times2-2\times1&3\times3-2\times1\\3\times1-2\times2&3\times2-2\times2&3\times3-2\times2\\3\times1-2\times3&3\times2-2\times3&3\times3-2\times3\end{bmatrix} = \begin{bmatrix}1&4&7\\-1&2&5\\-3&0&3\end{bmatrix}[/tex]

w • (-4+ z) = mz + 17
z = ____

solve for z.

ps.. pls help me lol. i need the answer

Answers

Answer:

z =  (17+4w)/(w-m)

Step-by-step explanation:

w • (-4+ z) = mz + 17

Distribute

-4w +wz = mz+17

Subtract mz from each side

-4w +wz - mz = mz+17-mz

-4w +wz-mz = 17

Add 4w to each side

-4w +4w+wz-mz = 17+4w

wz-mz = 17+4w

Factor out z

z(w-m) = 17+4w

Divide by (w-m)

z(w-m)/(w-m) = (17+4w)/(w-m)

z =  (17+4w)/(w-m)

(y - .18) x .08 = needing help

Answers

Answer:

0.08y - 0.0144

Step-by-step explanation:

We need to solve the below expression i.e.

(y - .18) x .08

It can be done as follows :

Using distributive property to solve it.

(y - .18) x .08 = 0.08(y) - 0.18(0.08)

= 0.08y - 0.0144

So, the equivalent expression is 0.08y - 0.0144.

A spring has natural length 20 cm. Compare the work W1 done in stretching the spring from 20 cm to 30 cm with the work W2 done in stretching it from 30 to 40 cm. (Use k for the spring constant) How are W2 and W1 related?

Answers

Answer:

W₂ is three times W₁ (W₂ = 3W₁)

Step-by-step explanation:

Applying,

W = ke²/2............. Equation 1

Where W = workdone in stretching the spring, k = spring constant, e = extension.

For W₁,

W₁ = ke₁²/2

Given: e₁ = 30-20 = 10 cm = 0.1 m

Substitute these value into equation 1

W₁ = k(0.1²)/2

W₁ = 0.005k Joules

For W₂,

W₂ = (ke/2)-W₁

Given: e = (40-20) = 20 cm = 0.1 m

Substitute these value into equation 1

W₂ = (k×0.2²/2)-0.005

W₂ = 0.015k Joules.

W₂/W₁ = 0.015k/0.005k

W₂/W₁ = 3

Therefore,

W₂ = 3W₁

My son is 31 years younger than me. In one years time my son's age will be one quarter my current age. How old am I? ​

Answers

I want to say 128 but I feel like that is wrong

anyone know the answer?

Answers

Answer:

C

Step-by-step explanation:

As the graph is shifted to the left, x -> (x+4)

g(x) = (x+4)^2+5(x+4)-6

Jacob bought a magazine for $2.80 and three candy bars. Write an expression for how much Jacob paid.

Answers

Answer:

total = 2.8 + 3x

x is the price of the candy bars

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Though the novel opens with a literal collision, it depicts a number of figurative collisions as well--cultural, racial, natural, familial, marital, and others. Describe some of these collisions, and discuss why they happen. PLZ HELP ME WITH MY WORK 4.In humans, the allele which confers the ability to roll the tongue is dominant over the allele which does not confer the ability to roll the tongue. If a man who can roll his tongue and whose mother could not mates with a woman who cannot roll her tongue, what proportion of the children would be expected to be able to roll their tongues if they have a large number of children what is communication From earliest to latest, the overall sequence of early development proceeds as follows: A) gastrulation organogenesis cleavage B) ovulation gastrulation fertilization C) cleavage gastrulation organogenesis D) gastrulation blastulation neurulation E) preformation morphogenesis neurulation MacKenzie is studying how welfare policies affect working families. She has paid several visits to families who have agreed to participate in her study and has interviewed them. She has also asked them to fill out a questionnaire about the issues in their daily lives, such as household budget and martial harmony. With this info, she is trying to link the effects of welfare policies to these family issues. The study conducted by MacKenzie is part of _________. Which claims are supported by relevant evidence? Select two options. what is an alternative??????? Which of the following statements is false?A. Opposite sides of a parallelogram are congruent.B. The diagonals of a parallelogram bisect each other.C. A rhombus is a parallelogram.D. A rhombus is a regular polygon. What type of source would be a poor choice for a report about life in ancient Rome?A: Researched FactsB: personal experiencesC: statisticsD: expert opinions what are the points included in women's rights Consider a short, 90-meter link, over which a sender can transmit at a rate of 420 bits/sec in both directions. Suppose that packets containing data are 320,000 bits long, and packets containing only control (e.g. ACK or handshaking) are 240 bits long. Assume that N parallel connections each get 1/ N of the link bandwidth. Now consider the HTTP protocol, and assume that each downloaded object is 300 Kbit long, and the initial downloaded object contains 6 referenced objects from the same sender. Required:Would parallel download via parallel instances of non-persistent HTTP make sense in this case? Now consider persistent HTTP. Doyou expect significant gains over the non-persistent case? Calculate the heat change in calories for melting of 0.30 kg of water at 0*C. Theheat of fusion for water is 80 cal/g. The heat of vaporization of water is 540 cal/g.The specific heat capacity of water is 1.00 cal/g*C. What does media literacy mean?A. The practice of reading things that are on a screenB. The practice of being able to identify the different types of mediaC. The practice of being able to access, analyze, and evaluate mediaD. The practice of using multiple media at one time Which graphic would best support the information inthis paragraph?Read the paragraphSlapstick is also known as physical comedy, meaning ithas more actions than words. Most people think ofslapstick as people hitting one another and then fallingdown, much like the style of The Three Stooges Whatthey do not always know is that slapstick comediansare masters of timing, with a flair for the dramatic. Theycreate the illusion of hitting and falling, without causinginjury to the performers. They stay safe while theaudience laughs hystericallyO a diagram of how The Three Stooges perform aphysical comedy stuntO a photo of The Three Stooges after a comedy showa flow chart identifying the different types of comedyO a bar graph of the amount of laughter at differenttypes of comedy showsMark this and returnSave and ExitNextSubmit Describe how you could whether sound travels best through wood, plastic, or metal. Mr. Chin is an 82-year-old man who comes to your office for a routine check. On examination, you notice a somewhat high-pitched murmur in the second right intercostal space during systole. It does not radiate and the rest of his examination is normal for his age. Which is true of the most likely cause of this murmur Since the Brown v. Board of Education ruling, the Fourteenth Amendment'sequal protection clause has:O A. reduced the federal government's power over states.B. allowed states to ignore federal civil rights legislation.O c. forced courts to apply strict scrutiny to all civil rights cases.O D. protected legal rights for many marginalized groups. Find A and effective resistance.(Ill give Brainliest if you provide explaination) Reflect Triangle ABC in BC. What kind of figure will result? How would your answer change if ABC is isosceles? a right triangle with right angle at A? a right isosceles trianglewith right angle at A?