In a teacher's math course, a linear regression line was calculated to predict
a student's final exam score from the score he received on the midterm. The equation was
Y = 25.5 + 0.82 where y is the final exam score and x is the score on the midterm. AJ scored 90 on the first test. AJ actually scored 99 on his final exam. What is the value of his residual?

A. -1.5
B. 1.5
C. 95
D. 97.5
E. None of these

Answers

Answer 1

The given equation is the best line that approximates the linear

relationship between the midterm score and the score in the final exam.

AJ's residual is 0.3, which is not among the given options, therefore, the correct option is. E. None of these.

Reasons:

The given linear regression line equation is; [tex]\hat y[/tex] = 25.5 + 0.82·[tex]\mathbf{\hat x}[/tex]

Where;

[tex]\hat y[/tex] = Final exam score;

[tex]\hat x[/tex] = The midterm score;

AJ score in the first test, [tex]\hat x[/tex] = 90

AJ's actual score in the exam = 99

Required:

The value of AJ's residual

Solution:

By using the regression line equation, we have;

The predicted exam score, [tex]\hat y[/tex] = 25.5 + 0.82 × 90 = 99.3

The residual score = Predicted score - Actual score

∴ AJ's residual = 99.3 - 99 = 0.3

AJ's residual = 0.3

Therefore, the correct option is option E;

E. None of these

Learn more about regression line equation here:

https://brainly.com/question/9339658

https://brainly.com/question/7361586

https://brainly.com/question/14747095


Related Questions

Each mobile bags sold by Ravi’s marble company contains 4 purple marbles for every 7 orange marbles if the bag is 56 orange marbles how many purple marbles does it contain

Answers

Answer:

56/7 is 8 so 8x4 is 32 is is easy

The number of purple marbles that the bag contains out of total marbles in the bag is 32.

To find the number of purple marbles in the bag, we can use the given information that each bag contains 4 purple marbles for every 7 orange marbles.

Let's calculate the number of purple marbles in the bag:

1. Given: The bag contains 56 orange marbles.

2. Since the ratio of purple marbles to orange marbles is 4:7, we can set up a proportion:

Purple marbles / Orange marbles = 4 / 7

3. Substitute the given number of orange marbles (56) into the proportion:

Purple marbles / 56 = 4 / 7

4. Now, solve for the number of purple marbles (Purple marbles):

Purple marbles = (4 / 7) * 56

Purple marbles = (4 * 56) / 7

Purple marbles = 224 / 7

Purple marbles = 32

So, the bag contains 32 purple marbles.

Learn more about ratio here

https://brainly.com/question/34270799

#SPJ2

Help Plz !!!
Suppose a manufacturer knows from previous data that 3.5% of one type of lightbulb are defective. The quality control inspector randomly selects bulbs until a defective one if found.
Is this a binomial experiment? Why or why not?

A. No, because the number of trials is not fixed.
B. No, because each trial cannot be classified as a success of failure.
C. Yes, because the situation satisfies all four conditions for a binomial experiment.
D. No, because the trials are not independent.

Answers

The answer is A i think

The experiment is not a binomial experiment because the number of trials is not fixed.

What is a binomial experiment?

A binomial experiment is an experiment were there is a fixed number of trials and the results are usually between two options- a success or a failure.

The conditions for a binomial experiment include:

Each trial should be classified either as a success or a failure. There are a fixed number of observationsThe trials are indpendent.The number of trials are fixed.

To learn more about binomial experiments, please check: brainly.com/question/17139967

A pentagon has angle measures of 103°, 105°, 114° and 113°. What must the fifth angle measure?

Answers

Answer:

105°

Step-by-step explanation:

A pentagon has a total of 540°

103 + 105 + 114 + 113 = 435

540 - 435 = 105

I hope this helps!

Which expression is equivalent to

Answers

Step-by-step explanation:

this is very blurry. please make sure you pick the answer option that is the exact result of the solution here.

to get the full result, we can split the individual multiplications of fractions apart, simplify the individual fractions, and then simply connect them again :

-9/-15 = 3/5

x^‐1/x⁵ = 1/x¹x⁵ = 1/x⁶

y^-9/y^-3 = y³/y⁹ = 1/y⁶

so, by multiplying all 3 parts together again we get

3/(5x⁶y⁶).

I suspect this is the second answer option, but please make sure.

I’m in a rush and I need to find the answer quickly

Answers

Answer:

It would be

(1, -3) or D :]

A functionf(x) is graphed on the coordinate plane. What is the function rule in slope-intercept form? Enter your answer in the box. F(x)=.

Answers

Linear functions are used to represented straight lines.

The linear function is [tex]y = -\frac 12x + 1[/tex]

The points on the graph are: (2,0) and (0,1)

Start by calculating the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

Substitute values for x and y

[tex]m = \frac{1 - 0}{ 0 -2}[/tex]

[tex]m = \frac{1 }{ -2}[/tex]

Rewrite as:

[tex]m = -\frac{1 }{2}[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives

[tex]y = -\frac 12(x -0) + 1[/tex]

[tex]y = -\frac 12(x) + 1[/tex]

Open bracket

[tex]y = -\frac 12x + 1[/tex]

Hence, the linear function is [tex]y = -\frac 12x + 1[/tex]

Read more about linear functions at:

https://brainly.com/question/15602982

Please help again forgot everything

Again

Answers

Answer:

Option D

Step-by-step explanation:

a/3 = 8/6

a × 6 = 8 × 3

6a = 24

a = 24/6

a = 4

Hence,

Option A is correct

Answer:

4

Step-by-step explanation:

cross multiply

a x 6=3 × 8

or,a=24/6

There fore a=4

Write the following statements in the form of equations.
If you subtract 6 from 3 times a number, you get 18.

Answers

Step-by-step explanation:
Let the Number be x
The required Equation Will Be:
3x-6=18
3x=18+6
3x=24
x=8

A bag of 12 oranges weighs 4 1/2 pounds, if the oranges are about the same size, how many pounds does each orange weigh





25 POINTS

Answers

0.385

Take the weight of the bag and divide it by the number of oranges in the bag (12) which is:

4.5 / 12 = 0.385

Each orange weighs 0.385 pounds.

Your answer would be 7 7/8 pounds


.hope this helps!

In triangle ABC, D is the midpoint of side AB and E is the midpoint of side BC. The area of triangle ABC is 56 square units. Find the number of square units in the area of triangle DBE.

Answers

Answer:

YourMom Not Cool

Step-by-step explanation:

yourMom is not cool

STOP CHEATING AND TRYING TO SEE ANSWER

Answer:

5

Step-by-step explanation:


The area of a rectangle is greater than or equal to 42 square centimeters. The width of the rectangle is 6 centimeters and the length is
centimeters. Select the possible value(s) of a.
7

Answers

Answer:

≥7

Step-by-step explanation:

6x7=42

Hope that helps

Answer:

x≥7

Step-by-step explanation:

wich form is more quickly to reveal the y intercept f(x)=3(x-6)^2-75 f(x)=3x^2+36x+33 f(x)=3(x+1)(x+11)

Answers

Answer:

the 2nd option

Step-by-step explanation:

the second option is in standard form (y = ax^2 + bx + c), c gives us the y intercept

PLEASE HELP ME!! THANKS :)

Answers

Basically, you plug in c and solve for y, but since I’m here I’ll do that for you.
1. y=7
2. y=17
3. y=21
4. y=24
Btw these are cordinates as (x,y) where the x corresponds to the correct y

Answer:

1. y=7

2. y=17

3. y=21

4. y=24

Step-by-step explanation:

I hope you're able to complete the problem, have a great day/night! <3

Which of the following are terms in this expression? Select all that apply. 6t+7+9s

Answers

6t and 9s are the terms because they have a variable behind them !

Answer:

6t, 7 and 9s

Step-by-step explanation:

In mathematics, a term is either a single number or variable, or the product of several numbers or variables.

Hope this helps!

8. The distance from Earth to the Sun is approximately 9 x 10^7 miles. The distance from Earth to the Moon is approximately 2x10^5 miles. Approximately how many times the distance from the Earth to the Moon is the distance from Earth to the Sun?
A. 450
B. 222
C. 45
D. 18​

Answers

Answer:

A

Step-by-step explanation:

To find how many times the distance, we divide the distance to the sun by the distance to the moon.

we get:

(9 * 10^7) / (2 * 10^5)

First, lets isolate and simplify the powers of 10.

(9 /2) * (10^7/10^5)

(9/2) * (10^2)=(9/2) * 100

Solve

9/2*100=4.5*100=450

What is the solution to this system of linear equations?
2x + 5y = 34
X+ 5y = 32
A. (2,6)
B. (2,22)
C. (6,2)
O D. (22, 2)

Answers

A linear equation is an equation in which each term has at max one degree. The solution of the system of linear equations is (2,6).

What is a linear equation?

A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form y=mx+c

Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.

Solving the second equation for x,

x + 5y = 32

x = 32 - 5y

Now, substitue the value of x in the first equation,

2(32 - 5y) + 5y = 34

64 - 10y + 5y = 34

-5y = -30

y = 6

Substitue the value of y in any one of the equation,

x + 5y = 32

x + 5(6) = 32

x = 2

Hence, the solution of the system of linear equations is (2,6).

Learn more about Linear Equations:

https://brainly.com/question/27465710

#SPJ1

Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
Write in the coordinates of vertices A'B'C'.

Answers

Answer:

Step-by-step explanation:

( x , y ) ----> ( x - 1 , y ) ------> ( 2(x-1) , 2y ) = ( 2x - 2 , 2y )

Can you help me with this question please!!

Answers

Answer:

Can you help me with this question please!! (D)

Hi. I'm kind of confused on this question. Pls help

Answers

Answer:

B is the awnser.

Step-by-step explanation:

cuz it is incorrect.

8. Select all the expressions that represent "10% more than x."
A. 10 + x
B. 0.10 + x
C. 0.1x + x
D. 0.1x + 10
E. 1.1x
F. X(1 + 0.1)

Answers

Answer:

B

Step-by-step explanation:

10/100 = /0.1. it should be more than x so add x to it to be 0.1+X

23. Island cruises booked a group of vacationers on a cruise that has a fixed cost of $39,600. Later, 100 more
people join the cruise, and the average cost decreases by $275 per person. How many persons were booked
originally?

Answers

244 person
See attached picture

al dividir A entre 23 se obtuvo 247 de cociente y el residuo fue el maximo. hallar A a)5242 b)5436 c)5703 d)5332 solo esas 4 alternativas tienen que salirte y respondan con resolucion plss

Answers

Aplicando la división, hay que el valor de A es dado por:

c) 5703

Una división es representada por:

[tex]\frac{a}{b} = c + \frac{r}{b}[/tex]

En que:

c es el cociente.r es el residuo.

En este problema, [tex]b = 23[/tex], y también:

Cociente de 247, o sea, [tex]c = 247[/tex].Residuo maximo, que es 22, o sea, [tex]r = 22[/tex].

[tex]\frac{a}{b} = c + \frac{r}{b}[/tex]

[tex]\frac{A}{23} = 247 + \frac{22}{23}[/tex]

[tex]A = 23(247) + 22 = 5703[/tex]

El valor de A es dado por:

c) 5703

Un problema similar, que tambíen envuelve división, es dado en https://brainly.com/question/14270856

Mrs. Adenan sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair. Which expression correctly applies the distributive property to show equivalent expressions for the total number of bracelets she sold?
63 + 36 = (3) (21) + (9) (4)
63 + 36 = (7) (9) + (12) (3)
63 + 36 = 9 (7 + 4)
63 + 36 = 3 (21 + 9)

Answers

Answer:

if im correct the answer is 63 + 36 = 9 (7 + 4)

Step-by-step explanation:

Answer:

The guy above was correct! I hope people see this so that they can trust the provided answer above.

Step-by-step explanation:

PLZ HELP DUE TODAY BRAINLIEST AND 100 POINTS


5(2.2y+1)-3
11y+5-y
11y+2

Answers

Answer:

Step-by-step explanation:

Remove the brackets

5*2.2y + 5  - 3

11y + 5 - 3

11y + 2

The answer is the last one.

[tex]\\ \rm\rightarrowtail 5(2.2y+1)-3[/tex]

Solve in between the brackets

[tex]\\ \rm\rightarrowtail 5(4y+1)-3[/tex]

[tex]\\ \rm\rightarrowtail 20y+5-3[/tex]

[tex]\\ \rm\rightarrowtail 20y+2[/tex]

[tex]\\ \rm\rightarrowtail 2(10y+1)[/tex]

The numbers 5 and -5 are opposites.explain why 5 and -5 have the same absolute value

Answers

Answer:

I think because the absolute value is always a positive number.

Step-by-step explanation:

Find the value of 3a^2+2b, If a=3 and b = 4.

An explanation would be great.

Answers

Answer:

=35

Step-by-step explanation:

3(3) ^2 + 2(4)

= 3(9) + 8

= 35

Where you see a, substitute with 3 and where you see b, substitute with 4

Just follow the steps above.

[tex]\\ \sf\Rrightarrow 3a^2+2b[/tex]

[tex]\\ \sf\Rrightarrow 3(3)^2+2(4)[/tex]

[tex]\\ \sf\Rrightarrow 3(9)+8[/tex]

[tex]\\ \sf\Rrightarrow 27+8[/tex]

[tex]\\ \sf\Rrightarrow 35[/tex]

Help Me on this math equation​

Answers

Answer:

uhhhh what grade level is dis?

Step-by-step explanation:

Determine the type of triangle that is drawn below.
5.89
X
V
38°
90°
4.53
7.43
52°
W

Answers

Answer:

Right-triangle

Scalene

Step-by-step explanation:

[] This is a right triangle because it has an angle that is 90°

[] This is a scalene triangle because all of the sides are different lengths

          -> We can also tell this is scalene because none of the angles are the same degree

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The price of an item has dropped to $34 today. Yesterday it was $40. Find the percentage decrease.

Answers

15% decrease.
Explanation:
10% of 40 is $4 so another 5% is $2. So 15%

please helpppppppppp​

Answers

Answer:

the ANSWER IS D

Step-by-step explanation:

because its multiplication

Other Questions
Help me pleas asap and pleas show your work in pine trees Male pine cones contain: Ocean ridges form as a result of _______. A. Slab pull b. The upwelling of magma from the asthenosphere c. Sediment being deposited from the ocean d. All of the above Please select the best answer from the choices provided A B C D. Which sentence excerpted from the passage is an example of faulty logic?A) She could not be more wrong, though.B) If theyre so corrosive and decadent, how could millions of people tune in every week to watch these shows?C) So, Mom, I know you dont understand my happiness at entering what you call a world of pain, but its my choice.D) People clearly enjoy watching reality shows judging from their ratings, but even more than that, people enjoy being ON reality shows.Answer Hi guys pls help me i give 30 points 5 stars +Crown faster How much energy is needed just to boil 5kg of water at 100 C? Which of the following is a run- on sentence? A. They invented the art of giving Christmas presents; they were wise and gave wise gifts. B. They invented the art of giving Christmas presents, they were wise and gave wise gifts. C. They invented the art of giving Christmas presents. They were wise and gave wise gifts. D. They invented the art of giving Christmas presents, and they were wise and gave wise gifts. us economic goals are reflected in the Combina estas dos oraciones de comparacin.Andrea tiene 15 aos. Timoteo tiene quince aos.O Timoteo es ms joven que Andrea.O Andrea es mayor que Timoteo.O Andrea es tan vieja como Timoteo.Andrea es tantos aos como Timoteo. I need help plz. You have to write an equation from the graph, you either multiply, divide, add or subtract Need help ASP TWT. How many solutions to a system does the graph below show?This is not a graph of a system of equations. Infinite SolutionsOne SolutionNo Solutions how much apple cider vinegar should you drink a day What does devoirs mean in french what you think happens when someone dies?? give one example of catastrophic global change I dont think going to the theater is a good idea What is the phrase they _____ a book two years ago. (published) change into simple past help stranger's ( ) Kaya rented a limousine for prom. There was one-time charge of $100, plus an hourly rate of $45. Her total cost for the night was 347.50. How many hours did kaya rent the limo for?