The linear regression equation for a data set is y=1.6x-4.1. If the actual value at x=3 is 0.9,
what is the residual value at x=3?

Answers

Answer 1

Answer:

0.2

Step-by-step explanation:

Given the regression model :

y = 1.6x - 4.1

At x = 3

Predicted value = 1.6(3) - 4.1 = 0.7

If actual value at x = 3 is 0.9

The residual value at x = 3 ;

Residual value is the difference between the actual and predicted value :

Actual at x = 3 minus predicted at x = 3

Hence, Residual = 0.9 - 0.7 = 0.2

Answer 2

Residual is the difference between the predicted value and the actual value of the response variable

The residual at x = 3 is 0.2

The linear regression is given as:

[tex]y = 1.6x - 4.1[/tex]

The predicted value at x = 3 is calculated by substituting 3 for x in the linear regression

So, we have:

[tex]y = 1.6 \times 3 - 4.1[/tex]

[tex]y = 4.8 - 4.1[/tex]

[tex]y = 0.7[/tex]

The actual value is given as 0.9.

So, the residual is calculated using:

[tex]Residual =Actual - Predicted[/tex]

This gives

[tex]Residual =0.9 - 0.7[/tex]

[tex]Residual =0.2[/tex]

Hence, the residual at x = 3 is 0.2

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Related Questions

Find the equation for parabola
Focus(3,4)
Directrix y=2

Answers

Answer:

Step-by-step explanation:

we know that distance d from the focus to P should be the same to the distance from P to the directrix

(x-h)^2=4p(y-k)

we need to find the y coordinate,

x is the same from focus, 3

y=(3, (4+2)/2)=(3,3)

we find p now by subtracting the y from the focus from the y that we just found

p=4-3=1

again (x-h)^2=4p(y-k), p=1

(x-3)^2=4(1)(y-3)

(x-3)^2=4(y-3),  (x-3)^2=4y-12

simplify

4y=(x-3)^2+12

y=((x-3)^2)/4 + 3

The equation for the parabola would be y = ((x-3)^2)/4 + 3.

How to find the  equation for the parabola?

We already know that distance d from the focus to P must be the same as the distance from P to the directrix

(x-h)^2 = 4p(y-k)

x is the same from focus 3

y = (3, (4+2)/2)

y  =(3,3)

by subtracting the y from the focus from the y that we get

p = 4-3 =1

similalry,

(x-h)^2=4p(y-k), p=1

(x-3)^2=4(1)(y-3)

(x-3)^2=4(y-3),  

(x-3)^2=4y-12

simplify it;

4y=(x-3)^2+12

y = ((x-3)^2)/4 + 3

Thus, the equation for the parabola would be y = ((x-3)^2)/4 + 3.

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Answer this please and get points

Answers

Answer:

She has 5 nickles

Step-by-step explanation:

if she has 3 quarters, that amounts to 75 cents. The question states that the amount of nickles is the (the number of quarters) + 2, with this thought in mind, she would have 5 nickles, each worth 5 cents each, equaling out to 25 cents. the original 75 cents of the quarters and now the 25 cents from the nickels equals 100 cents (A dollar)

Answer:

60 because she had 50 nickels and 2 extra making 60 nickels

Keisha's selling pumpkin pie for 9.99. She always gives every customer a 5% of coupon. How much does the pumpkin pie cost now? PLZ HELP I WILL AWARD BRAINLIEST

Answers

Answer:

4.99

Hope I helped

Answer:

$9.49

Step-by-step explanation:

9.99*0.05=0.4995

9.99-0.4995=9.4905

how would you multiply negative numbers? or negative fractions for example -12 x 12 is what and please explain good

Answers

Answer:-12 x 12 =- 144.

What you do is multiply regularly then add the negative sign, but if your multiplying  2 negatives it’s a positive answer. I cant help with the Fractions caz I’m not good at them lol .

A soccer field is 120 yards long and 60 yards wide. How long is the diagonal of the field?

Answers

Answer180 yards long

180

Step-by-step explanation:

Eight teams of high school students helped clean up trash in the community.
Afterwards, they shared 55 pizzas equally.
How many pizzas did each team get?

Answers

6.875


55 divided by 8 is 6.875

Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a function for the volume V of the tray in terms of x

Answers

Answer:

you can use the same type of power to make it easier

Ripley’s Aquarium charges $29.95 for (a) adults and $13.95 for (c) children. Write an expression to represent admission pricing

Answers

Answer:

T=29.95a + 13.95c

Step-by-step explanation:

For this equation let a=amount of adult tickets, c=amount of children tickets, and T=the total cost. Since each adult ticket costs 29.95 dollars that needs to be multiplied by the number of adult tickets to see how much was spent on adults, the same goes for the price and number of children tickets. Finally, both of those totals need to be added together to see how much is spent overall for all of the guests.

Solve for s: -2s < 6
AS3
Se
C) s >=-3
D) S-3

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

-2s < 6  equation

step 2

-2s < 6  divide the sides by 2

-2s/-2<6/-2

answer

s>-3

please help me find the value of x!!

Answers

Answer:

I wanna say "5"

Step-by-step explanation:

pluging in 5 for every X should get you

15

i dont understand this question can someone help me?

Answers

Answer:

Step-by-step explanation

turn the 4/11 into a decimal(0.3636) then see were it on the line then you can see wich is less

A wedding planner she did the 234 gas at a reception so that each table have the same number of guest if each table could see no more than 20 people what is the largest possible number of guest at each table

Answers

Answer:

the largest number of people she can sit at a table is 18.

Step-by-step explanation:

there would be 13 tables

The required possible tables is 13 and the largest number of people she can sit at a table is 18.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

A wedding planner she did the 234 guests at a reception so that each table have the same number of guest if each table could see no more than 20 people.

According to given question we have

Total number of guest=234

i.e  234/13=18 people

The largest number of people she can sit at a table is 18.

The possible tables can arrange to sit the guest is 13.

Therefore, the required possible tables is 13 and the largest number of people she can sit at a table is 18.

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Alejandro has gone to school StartFraction 5 Over 7 EndFraction of the last 35 days. Which expression can be used to determine the number of days Alejandro has gone to school?
35 divided by 7 = StartFraction 5 Over 7 EndFraction
35 times StartFraction 5 Over 7 EndFraction
StartFraction 5 Over 7 EndFraction divided by 35
StartFraction 7 Over 5 EndFraction divided by 35

Answers

Answer:

35 times StartFraction 5 Over 7 EndFraction

Step-by-step explanation:

Alejandro has gone to school (5/7) of the last 35 days.

We need to find the expression that can be used to determine the number of days Alejandro has gone to school.

[tex]x=\dfrac{5}{7}\times 35\\\\=5\times 5\\\\=25[/tex]

So, the correct option is (b) "35 times StartFraction 5 Over 7 EndFraction".

Answer:

(B) 35x5/7

Step-by-step explanation:

I need some help ASAP brainliest will be given.

Answers

there is no solution

Step-by-step explanation:

y+7=3x

6x-2y=12

y=3x-7

6x-2(3x-7)=12

6x-6x-14=12

-14=12

There is no solution.

A beauty supply company has 5 gallons of 20% hydrogen peroxide solution on hand. The
company also has a nearly limitless amount of a solution that contains 30% hydrogen
peroxide. How many gallons of the 30% hydrogen peroxide solution should the company add
to the 20% hydrogen peroxide solution to obtain a mixture that is 23% hydrogen peroxide?
Write your answer as a whole number or as a decimal rounded to the nearest tenth.

Answers

Answer:

2.1 gallons

Step-by-step explanation:

Let V = volume of 20 % hydrogen peroxide = 5 gallons, V₁ = volume of 30 % hydrogen peroxide and V₃ = volume of 23 % hydrogen peroxide. So the final volume is V + V₁ = V₂

V₁ + 5 = V₂  (1)

Also, since quantity = concentration × volume,

Let Q = quantity of 20% volume hydrogen peroxide = 0.2V, Q₁ =  quantity of 20% volume hydrogen peroxide = 0.3V₁ and Q₂ = quantity of 23% volume hydrogen peroxide = 0.23V₂

So, 0.2V + 0.3V₁ = 0.23V₂

0.2 × 5 + 0.3V₁ = 0.23V₂

1 + 0.3V₁ = 0.23V₂

0.3V₁ - 0.23V₂ = -1  (2)

substituting equation (1) into (2), we have

0.3V₁ - 0.23(V₁ + 5) = -1

expanding the brackets, we have

0.3V₁ - 0.23V₁ + -0.23 × 5 = -1

0.07V₁ - 1.15 = -1

adding 1.15 to both sides, we have

0.07V₁ = -1 + 1.15

0.07V₁ = 0.15

dividing both sides by 0.07, we have

V₁ = 0.15/0.07

= 2.143 gallons

≅ 2.1 gallons to the nearest tenth

So, we need 2.1 gallons of 30 % hydrogen peroxide to obtain a mixture that is 23 % hydrogen peroxide.

Create a table

please help me with this one more.a bag contains 120 marbles some are red and the rest are black there are 19 red marbles for every black marble how many red marbles are in the bag ​

Answers

Answer:

pls like if not my mom will die

Step-by-step explanation:

Which expression below does NOT equal 54?
O A. 3 x 3 x 6
O B. 2 X 3 X9
C. 2 X 3 X 3 X 3
O D. 2 x 2 x 2 x 6

Answers

The answer is D
A=54
B=54
C=54
D=48
Merry Christmas


A retailer (GameStop, Target, or other stores) will receive 23% of the sale price of a video game. If a retailer sells
a video game for $60.00, how much money will the retailer receive

Answers

Answer:

$13.80

Step-by-step explanation:

23% of 60 is 13.8, therefore the retailer will receive $13.80 if a $60.00 video game is sold.

In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. Steward scored 5 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals?

5 + 3p ≥ 30
5 + 3p ≤ 30
5p + 3 ≥ 30
5p + 3 ≤ 30

Answers

The answer is the third one

Answer:

A) 5+3p ≥ 30

Step-by-step explanation:

The 5+3p has to be greater than 30 to move on to the next round. The student scored 5 points in the first round and since the other 3 rounds he scored the same amount of points, your equation would be 5+3p ≥ 30 :)

If you were to solve this, you would subtract 5 from both sides to find that 3p≥ 25. Divide 25 by 3 to find out that Steward needed to score at least 9 points in each of rounds 2,3, and 4, so a possible solution could be that he earned 5 points in round 1, 9 in round 2, 9 in round 3, and 9 in round 4 for a total of 32, which is enough to qualify for the final round :)

Need answer asap pls..........

Answers

Answer:

Try B

Step-by-step explanation:

A bag contains 4 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be red?

Answers

Answer:

The probability, to the nearest 10th of a percent, that both marbles drawn will be red is 28.5%

Step-by-step explanation:

Number of red marbles = 4

Number of blue marbles = 8

Number of Green marbles = 2

Total number of marbles = 4+8+2 =14

We need to find the probability, to the nearest 10th of a percent, that both marbles drawn will be red?

The formula used will be: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Number\:of\;possible\:outcomes}\\[/tex]

In our case, Number of favourable outcomes = 4 (as red marbles are drawn)

Number of possible outcome = 14 (Total number of marbles)

The probability will be:

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Number\:of\;possible\:outcomes}\\\\Probability=\frac{4}{14}\\ Probability=0.2857\\[/tex]

Now, calculating nearest 10th of a percent

[tex]Probability = 0.2857*100\\Probability=28.5%[/tex]

So, the probability, to the nearest 10th of a percent, that both marbles drawn will be red is 28.5%

Roger and his sister started watching a cartoon movie at 2:45 P.M. The movie was 2 hours and 15 minutes long. After the movie, they played a card game for 45 minutes and then played soccer in the backyard for 2 hours and 30 minutes. What time was it when Roger and his sister finished playing soccer?

Answers

Answer:

08:15 pm

Step-by-step explanation:

2:45 + 2:15 + 0:45 + 2:30

=8:15

The Pythagorean triple (5, 12, 13) can't be generated from the identity (x? 1)2 + (2x)2 = (x2 + 1)
which has only one variable, because the length of the hypotenuse (13 units) and the length of the longer
of the other two legs (12 units) are not 2 units apart.
Find a two-variable identity by incorporating a second variable, y, into the single-variable identity. Note
that x > 1, x > y, and x and y are positive integers.
Select the correct answer.
5

Answers

9514 1404 393

Answer:

  A.  (x² -y²)² +(2xy)² = (x² +y²)²

Step-by-step explanation:

As is often the case with problems like this, the correct answer (A) is the only answer that is actually a true equation.

Choices B, C, D are only true if x or y is zero--a violation of the given condition that they are positive integers.

The graph below shows the cost C for bowling g games at Strike King. Another bowling center, Thunder Alley, charges $2.25 per game.


At what point do the graphs of Strike King (shown) and the graphs of Thunder Alley (not shown) intersect? Explain why this is always the case for proportional relationships.

Answers

Answer:

They intersect when the Strike king is at (9,15.75) and Thunder Alley is at (7, 15.75). But only the X axes intersect. The X and Y axes intersect at (0,0) that's where they start and that is where they meet. Its a proportional relationship because their ratios are equivalent. It represents the constant of proportionality.

Step-by-step explanation:

Ahmed works in a factory his normal rate of pay is £12.00 per hour
When ahmed works on sundays he is paid overtime for each hour.The overtime rate of pay is 1 1/4 times his nomal hourly rate. Lat weekend Ahmed worked 9 hours on Saturday and 6 hours on Sunday. Work out how money he earned during that weekend

Answers

Answer:

Ahmed earned £198.00 on that weekend.

Step-by-step explanation:

Given that:

Normal hourly pay = £12.00

Overtime pay = [tex]1\frac{1}{4}[/tex] of normal rate

Overtime pay per hour = [tex]\frac{5}{4}*12[/tex]

Overtime pay per hour = £15.00

Hours worked on Saturday = 9 hours

Amount earned on Saturday = 9*12 = £108.00

Hours worked on Sunday = 6 hours

Amount earned on Sunday = 6*15 = £90.00

Total amount earned on weekend = 108+90 = £198.00

Hence,

Ahmed earned £198.00 on that weekend.

Please someone help and explain, I don't understand what it means

Answers

Answer:

B

Step-by-step explanation:

you keep adding 2 to your previous answer

Jo got 16 out of 20 on her test. What is Jo's grade? Did she pass? Explain how you got your answer.​

Answers

Answer:

16/20 is 80

Step-by-step explanation:

What is the number that JO would pass at. I think Jo has passed and I got my answer because when u do 16 divided by 20 you get 0.8 and that is 80

Pentru sala de mese a scolii s-au adus 12 scaune si 7 mese, plătindu-se 320lei.Știind că 4 scaune costă cât trei mese, află prețul unui scaun și prețul unei mese.

Answers

Răspuns:

Costul scaunului = 15

Costul mesei = 20

Explicație pas cu pas:

Dat fiind:

Să prețul scaunelor = c; pretul mesei = t

12c + 7t = 320 - - - (1)

4c = 3t; c = 3/4 t - - - (2)

Introducerea c = 3 / 4t în (1)

12 (3 / 4t) + 7t = 320

9t + 7t = 320

16t = 320

t = 320/16

t = 20

c = 3 / 4t

c = 3/4 (20)

c = 15

Costul scaunului = 15

Costul mesei = 20

match the pair of points with the slope of the line that joins them ​

Answers

Answer:

Step-by-step explanation: use the equation m=(y2-y1/x2-x1)

M=(-5-(-11)/-1-(-8))

M=6/7

It is 6/7 good luck

HELP THIS IS DUE IN ONE HOUR I NEED A GOOD ANSWER! Each sales associate at an electronics store has a choice of the two salary options shown below.
• $115 per week plus 9.5% commission on the associate’s total sales
• $450 per week with no commission


a. The average of the total sales amount for each associate last year was $125,000. Based on this average, which salary option would result in a higher salary?









b. What is the difference between the two salary options?

Answers

Answer:

a) $450 per week, because you have room to earn more money because the average is sales is $2397.26 per week which the commission for option one would be is $227.74 which means on average people get $ 342.74, so $450 every week is a much higher salary.

b) The differace is that option 1 has the potential to increase by you selling more you can make more but in option 2 you know you will get $450 a week every week and that you would need to sell well above average to make more than $450

Other Questions
i only have 10 min :( please someone answer what type of triangle it is pls helpits appreciatedthe best answer will get brainliest What caused the French Revolution? In two words, extreme inequality. Dressed in lavish clothing, the royal family relaxed while munching on banquets at their palace in Versailles. Meanwhile, France was almost completely out of money. In the streets, the French people were beginning to starve.In addition to the king's absurd amount of luxury, other social and class . . . issues inspired his overthrow. Before the revolution, France's society was officially broken up into three social classes, which together comprised the Estates-General. The First Estate was made up of members of the clergy, or church leaders. Nobility and royalty comprised the Second Estate. These were the people who were lucky enough to be born into very wealthy French families. The Third Estate included the bourgeoisie, or middle class, and peasants. But here was the problem: The top two estates were just 2% of the population, and the bourgeoisie and peasants made up 98 percent. This meant that for every 100 people in France, two were wealthy and 98 were middle class or poor._______Which of the following was true of French society in the years before the French Revolution?A) The king deeply understood the hardships of the French people.B) Most people were part of the First and Second EstateC) There were more wealthy people than poor peopleD) The Third Estate made up the majority of the population Why is it important to have an understanding of Greek and Latin roots? Company a charges 60$ plus 0.15 per mile company b charges 25$ per day or portion of a day .Jason has determined that it will cost him less to rent a car from company a for a weekend trip .is Jason's conclusion accurate? Como se consigui el interior de un atomo On January 1, 2020, Marvel Company purchased an investment in Stark Industries for $5 million, representing 35% of the book value of Stark Industries. During the year, Stark reported net income of $1,200,000 and pays cash dividends of $100,000. At the end of the year, the fair value of Marvels investment is $5.4 million. Required At what amount is the investment reported on Marvels balance sheet at year-end? What amount of income from investments does Marvel report? Prepare journal entries to record the transactions for Marvel Company. what is the answer to this question? A group of friends ordered two pizzas, one with pepperoni and one with mushrooms and green peppers. A plain pizza costs $9. Each topping costs $1. How much did the two pizzas cost?A. Question 10 of 25Consider this reaction:Mg(s) + 2H2O(1) Mg(OH)2(s) + H2(g)What is the oxidation state of Mg in Mg(OH)2(s)?A. +2B. - 2C. +1D. 0 100 points!!!!Completa cada frase en la conversacin.Carlos.- Buenos das, Laura. Cmo ests?Laura.- Hoy !Carlos.- Ah, s? ?Laura.- Es que mientras estaba la casa, me de una silla y la pierna.Carlos.- Fuiste a la clnica?Laura.- S. En realidad, no me pas nada Which statement best describes the cause of Chinas distinct cultural identity?A.) China was a difficult place for trade because the people were modest farmers B.) China was separated from the other lands and people due to the physical geography of the region C.) China had a unique culture because the ancient Chinese believed they were the only civilizationD.) China was protected from the outside influence because Chinese people were not allowed to leave can someone do #12 for me I'm the first section, how does the author define musical copyright infringement?A:by describing the different causes of musical copyright infringement.B:by giving examples of two different forms of musical copyright infringementC:by comparing and contrasting plagiarism to samplingD:by looking at the effects of plagiarizing an essay and a song. What is a slide master ? in the short story "by the water of babylon" How does the use of dramatic irony in the story help to set the scene of a dystopian setting? someone please answer!! Which creature loses the battle in Journey to The Center of the Earth?A. Ichthyosaurus B. Plesiosaurus Is this correct if not correct me MARKING BRAINLIEST! plant or animal and to explain the reasoning for their conclusion. What is the correct response?The cell is an animal cell because it has a cell membrane and no cell wall. Cell walls are unique to plant cells.The cell is a plant cell because it has cytoplasm, which helps the plant make their own food from sunlight.The cell is a plant cell because it has chloroplast, which helps the plant make its own food from sunlight.The cell is an animal cell because it has chloroplast used for making useable energy. Zachary buys a one pint bottle of juice for $3.20. What is the unit rate of the cost of the juice per fluid ounce?How many fluid ounces of juice did Zachary buy? The ________ judged those known as heretics, who taught false doctrines.