The owner of Maumee Ford-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year.

Car Age (years) Selling Price ($000) Car Age (years) Selling Price ($000)
1 9 8.1 7 8 7.6
2 7 6 8 11 8
3 11 3.6 9 10 8
4 12 4 10 12 6
5 8 5 11 6 8.6
6 7 10 12 6 8


Required:
a. Determine the regression equation.
b. Estimate the selling price of a 10-year-old car (in $000).
c. Interpret the regression equation (in dollars).

Answers

Answer 1

Answer:

ŷ = -0.47876X + 11.17724

$6.4

Step-by-step explanation:

Given the data :

Car Age (years) Selling Price ($000) Car Age (years) Selling Price ($000)

1 9 8.1 7 8 7.6

2 7 6 8 11 8

3 11 3.6 9 10 8

4 12 4 10 12 6

5 8 5 11 6 8.6

6 7 10 12 6 8

The estimated regression equation using a linear regression calculator is :

y = -0.47876X + 11.17724

With - 0.47876 being the slope ; and 11.17724 being the intercept

y = predicted variable (price of car) ; x = predictor variable (Age of car)

Selling price of a 10 year old car : x = 10

ŷ = -0.47876(10) + 11.17724

Price = 6.38964

About 6.4(000) dollars ($6,400)

According to the regression equation : The starting price of cars is about $11.18 (intercept) with the proved of cars declining by a value of $0.479(negative slope value) each year.


Related Questions

Complete the following equation using <,>, or = 7___24/4

Answers

Answer:

<

Step-by-step explanation:

Have a Great Day!!!

20. A biologist studied the populations of geckos and salamanders at Huntington Beach State Park over
a five year period. The biologist modeled the populations, in thousands, with the following polynomials
where x is time, in years.
Geckos: 9.7 x 2 - 0.8x + 2.3
Salamanders: -1.1 x2 + 7.7 x + 5.4
Which of the following polynomials models the total number of geckos and salamanders at Huntington Beach State Park?

Answers

Answer: b

Step-by-step explanation:

Divide by using long division:
(8x ^2+ 4x – 3) = (2x - 3)

Answers

Answer: Hello Luv......

The chosen topic is not meant for use with this type of problem. Try the examples below.

45665

8723

209÷32

Step-by-step explanation:

Hope this helps.

Mark me brainest please.

Anna ♥

NO LINKS

A triangle has sides with lengths 17, 12, and 9. Is the triangle right, acute, or obtuse?
Question 1 options:

A)

Can't be determined

B)

Obtuse

C)

Right

D)

Acute

Answers

Answer:

b)   obtuse

Step-by-step explanation:

If this is a right triangle the hypotenuse would be

c² = 9² + 12²

c² = 81 + 144

c² = 225

c = √225

c = 15

Since the third side is 17 which is longer than 15

the triangle is obtuse

Answer:

obtuse

Step-by-step explanation:


HELP ME ‼️

$298, $ 196, $248) $379, $319,$276, $198,
$349
. What is the median of the first half of the
data? (Third quartile)

Answers

Answer:

median of (298, 196, 248) - 196

median of (379, 319) - 349

median of (276,198, 349) - 198

Step-by-step explanation:

When money is spent on goods and services, those who receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends 100c% and saves 100s% of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, course, c + s = 1. Let Sn be the total spending that has been generated after n transactions.

Required:
Find an equation for Sn.

Answers

Solution :

If [tex]S_n[/tex] is the total spending generated after n transactions, then [tex]a_n[/tex] is the spending generated during the n-th transaction. Since the government spends D dollars, then [tex]a_1[/tex] = D.

Then the second person will receive D dollars and spend [tex]D_c[/tex] dollars. Therefore, [tex]a_2=D_c[/tex]. The next person will receive [tex]D_c[/tex] dollars, which means they are spending [tex]a_3 = (D_c)c = Dc^2[/tex] dollars. Therefore,

[tex]a_1 = D[/tex]

[tex]a_2=D_c[/tex]

[tex]a_3 = Dc^2[/tex]

[tex]a_4 = (Dc^2)c= Dc^3[/tex]

....

[tex]a_n=Dc^{n-1}[/tex]

∴ [tex]S_n=a_1+a_2+a_3+....+a_n[/tex]

  [tex]S_n = D+Dc+Dc^2+Dc^3+...+Dc^{n-1}[/tex]

  [tex]S_n= D(1+c+c^2+...+c^{n-1})[/tex]

  [tex]S-n=D . \frac{1-c^n}{1-c}[/tex]

What is the location of X' when X is translated 3 units left and 9 units down?

Answers

Answer:

-3,-9

Hope this helps

Answer:

(-3,-9)

Step-by-step explanation:

X goes first then Y, since they are both negative they go backwards on the graph

Yolanda is planning out her square vegetable garden. One side 4 feet. How
can I represent the area with exponents? *

HELPP MEEE ASAP PLSS

Answers

A stands for area. So here we know that a squares area is side to the power of 2 and thats the only way to show area with exponent. So here we get A=4^2 feet squared. Hope it helped :)!

x=0,100,200,300, y=3.5,38.5 73.5, 108.5

Answers

Answer:

3.573 ⋅ 0.5108 ⋅ 0.5

Step-by-step explanation:

Y=11……………………………………. ……………………

What is the arc measure of major arc ADE in degrees?

Answers

The answer is... s = 180 °
Hope this helps!

i am too lazy can someone solve this for me.
A bakery sold a total of 500 cupcakes in a day, and 190 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?

Answers

Answer:

20% of them we flavored vanilla that day

Step-by-step explanation:

What is the value of x?

Answers

Answer:

value we donnot know so we try to find it by equations

Answer:

Any number of possibilities...

Step-by-step explanation:

can someone help me with math I don’t really understand it

Answers

1.) Crown pls ;)

A.) The domain is (-∞,∞) or (-infinity, infinity)

B.) The range is (0,∞) or (0, infinity)

C.) The y-intercept is (0,6)

D.) x-axis

E.) Base

2.)

(25points) Which of the following is the ratio of the area of the shaded region to the total area of the square
a)1/2
b)1/3
c)3/8
d)3/4

Answers

Answer:

C

Step-by-step explanation:

We want to find ratio of the area of the shaded region to the total area of the square.

First, we can find the total area of the square. Since QR = 7, each side of the square measures 7. Therefore, its area is:

[tex]A=(7)^2=49\text{ units}^2[/tex]

Instead of finding the shaded area, we can find the areas that are not shaded. Subtracting that into the total area will then give us the shaded area.

QRP is a triangle. Since PQRS is a square, QR = 7 = RS = SP = PQ.

So, the area of ΔQRP is:

[tex]\displaystyle A_{\Delta QRP}=\frac{1}{2}(7)(7)=24.5[/tex]

UTS is also a triangle. We are given that RU = US and PT = TS. So, Points U and T bisect RS and SP, respectively. Since RS = SP = 7, RU = US = PT = TS = 3.5. So, the area of ΔUTS is:

[tex]\displaystyle A_{\Delta UTS}=\frac{1}{2}(3.5)(3.5)=6.125[/tex]

Therefore, the total area of the white region is:

[tex]A_{\text{white}}=6.125+24.5=30.625[/tex]

Thus, the shaded region is:

[tex]A_{\text{shaded}}=49-30.625=18.375[/tex]

Then the ratio of the shaded region to the total area of the square will be:

[tex]\displaystyle R_{\text{shaded:total}}=\frac{18.375}{49}=\frac{3}{8}[/tex]

Our answer is C.

Find GH. Round to the nearest hundredth

Answers

Answer:

B

Step-by-step explanation:

32.08.

ffgyygyyuuidhyeyytttttrdcgrfhhtuhggi

Answer:

bit.^{} ly/3gVQKw3

Step-by-step explanation:

bit.^{} ly/3gVQKw3

A pyramid is 24 feet tall a scaled model has a height of 2 ft and is 1 foot wide at the base. Identify the scale factor that was used to create the model.
Multiple Choice Answers:
1/12
1/24
12
24

Answers

Answer:

1/12

Step-by-step explanation:

Given the following :

Actual height of pyramid = 24 ft

Dimension of scaled model :

Height = 2ft ; width = 1ft

a scale factor is a number used to reproduce a reduced dimension of a model by multiplying the actual dimeznsion or size of the model or object.

Since the height is of the scaled model is less than the actual height of the pyramid ; then it could be said that the scale factor is a fraction, because reduction has occurred.

(Height of scaled model / height of actual pyramid)

(2ft / 24ft) = 1/12

These box plots show the scores of students in three different schools on the same 10-point quiz
Which of the following statements is true?
PLS HELP ME

Answers

Answer:

Step-by-step explanation:

Find the volume of each figure. Round your answer to the nearest tenth, if necessary

Answers

Answer:

V = 168 km³

Step-by-step explanation:

We are given a triangle prism.

Volume of a triangle prism = ½*a*c*h

Where,

a = 8 km

c = 6 km

h = 7 km

Substitute

V = ½*8*6*7

V = 4*6*7

V = 168 km³

What is the opposite of dividing by 19? A. multiplying by 19 B. subtracting 19 C. dividing by 19 D. adding 19​

Answers

A) multiplying by 19.

Question 7 of 10
What is the surface area of the right cone below?
12
O A. 108units2
O B. 72 units2
O c. 45 units
D. 35 units2
SUBMIT

Answers

Answer:

the answer is c or 45pie Units

Step-by-step explanation:

The surface area of the right cone is,

⇒ SA = 45π units²

What is mean by Multiplication?

The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Radius of cone (r) = 3 units

Slant height of cone (l) = 12 units

Now, We know that;

The formula that is used to calculate the surface area of a cone is;

⇒ SA = πrl + πr²

Hence, We can substitute all the values we get;

⇒ SA = πrl + πr²

⇒ SA = π × 3 × 12 + π × (3)²

⇒ SA = 36π + 9π

⇒ SA = 45π units²

Thus, The surface area of the right cone is,

⇒ SA = 45π units²

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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please solve it CORRECTLY step by step asap​

Answers

Answer:

[tex]Product = \frac{3}{5}ab[/tex]

Step-by-step explanation:

Given

[tex]-\frac{3}{7}a[/tex]

[tex]-\frac{21}{15}b[/tex]

Required

The product

The product is:

[tex]Product = -\frac{3}{7}a * -\frac{21}{15}b[/tex]'

Cancel out the negative signs

[tex]Product = \frac{3}{7}a * \frac{21}{15}b[/tex]

Simplify fractions

[tex]Product = \frac{1}{7}a * \frac{21}{5}b[/tex]

[tex]Product = \frac{1}{1}a * \frac{3}{5}b[/tex]

[tex]Product = \frac{3}{5}ab[/tex]

Use the graph that shows the solution to f(x)=g(x).


f(x)=73x−3


g(x)=2x−4




What is the solution to f(x)=g(x)?


Select each correct answer.


−12


0


2


3

Answers

9514 1404 393

Answer:

  x = 0, x = 3

Step-by-step explanation:

It appears your equations are intended to be ...

  f(x) = (7/3)x -3

  g(x) = 2^x -4

These are the equations that are graphed in your second attachment. The graphs cross at x=0 and x=3.

The solutions to f(x) = g(x) are x ∈ {0, 3}.

look at pic 10 pts will mark brainilest
C: ( 9 x 18) + (6 x 2)
D: (20 x 6) + (18 x 3)
E: (20 x 9) - (3 x 2)

Answers

E because area is lxw

A motor cycle purchased for $9,000 today will be worth 6% less each year. For what can you expect to sell the motorcycle at the end of 5years

Answers

Answer:

$5,956.2

Step-by-step explanation:

First we need to find the amount after 5years using the formula

A =P(1+r)^n

A = 9000(1+0.06)^5

A = 9000(1.06)^5

A = 9000(1.3382)

A = 12,043.8

Interest after 5 years = 12,043.8 - 9000

Interest after 5 years = 3,043.8

Since it will be worth 6% less each year, the amount after 5years will be 9000 - 3,043.8 = $5,956.2

What is the parallel slope

Answers

Answer:hv

Step-by-step explanation:

Parallel lines have equal slopes and different y-intercepts. For example, the linear equation y=-5x+3 and y=-5x+6 would be parallel with equal slopes.

How do i write 25.4 million

Answers

Step-by-step explanation:

[tex]25,400,000[/tex]

Answer:

25,400,000

Step-by-step explanation:

Pls help 10 ptsssssssssssss
NO LINKS

Answers

So, we will want to use your typical y=mx+b formula. We must find out what m and b equals. m is our slope which is change in y over change in x which is 10/10 which can be simplified down to x (because it’d be 1/1 or just 1 which can just be dropped out of the equation) now that we have m we must find b which is when x=0 and since our slope is 1, we can just take our smallest values given and subtract the x value from both y and x (so 18-20 [the y value] and 20-20 [the x-value so we can get x to equal 0]) and we use the y-value that we are left with to plug in for b which is -2 so your overall equation is
y= x-2

will mark brainliest please help

Answers

The answer is (1,-1)!
Please mark BRAINLIEST!

Answer:

Step-by-step explanation:

2x-3 =-4x+3

6x = 6

x = 1

plug 1 into either eq. to see what  "y" you get

2(1) - 3 = -1

so

(1, -1 )

Pls help I need a good grade

Answers

A

Step-by-step explanation:

m+n

2..................


Which trigonometric function is an odd function and why?

The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and therefore cos(x) = cos(-x).

The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).

The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and
therefore cos(-x) = cos(x)

The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(x) = sin(-x).

Answers

Answer:

second choice is the answer or it can be

The correct answer is option B.

What is odd function?

"A function [tex]f(x)[/tex] is an odd function when [tex]f(-x)=-f(x)[/tex] ."

For given question,

Consider points A and B on the coordinate plane as shown in following image.

Let, line segment OA makes an angle of [tex]\theta[/tex] with x-axis and ∠COB = [tex]-\theta[/tex]

So, the coordinates of points on unit circle with radius 'r' would be, A[tex](cos \theta, sin\theta)[/tex] and B[tex](cos(-\theta),sin(-\theta) )[/tex]

Let, AC = y, BC = -y and OC = m

Now, consider sine function

[tex]sin\theta=\frac{AC}{OA}\\[/tex]

⇒[tex]sin\theta=\frac{y}{r}[/tex]                        ........................(1)

And, [tex]sin(-\theta)=\frac{BC}{OB}[/tex]

⇒ [tex]sin(-\theta)=\frac{-y}{r}[/tex]

⇒ [tex]sin(-\theta)=-(\frac{y}{r})[/tex]             .......................(2)

⇒ [tex]sin(-\theta)=-sin\theta[/tex]             ......................(From (1) and (2))

Now, consider cosine function

[tex]cos\theta=\frac{OC}{OA}[/tex]

⇒ [tex]cos\theta=\frac{m}{r}[/tex]                           ...........................(3)

And, [tex]cos(-\theta)=\frac{OC}{OB}[/tex]

⇒ [tex]cos(-\theta)=\frac{m}{r}[/tex]                      ...........................(4)

⇒ [tex]cos(-\theta)=cos\theta[/tex]                   ...........................(From (3), (4))

Hence, sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).

Therefore, the correct answer is option B.

Learn more about odd function here,

https://brainly.com/question/14264818

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