An engineer wants to determine how the weight of a​ gas-powered car,​ x, affects gas​ mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts​ (a) through​ (d) below. Weight (pounds), x Miles per Gallon, y 3773 17 3793 16 2706 25 3645 20 3308 22 2908 24 3675 17 2687 24 3522 18 3827 16 a) Find the​ least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable y= x+( ) A certain​ gas-powered car weighs 3511 pounds and gets 18 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this​ weight? ​The estimated average miles per gallon for cars of this weight is ( ) miles per gallon. The miles per gallon of this car is average for cars of this weight.

Answers

Answer 1

Answer:

y= 0.007x- 4.945

The estimated average miles per gallon for cars of this weight is (20.829 or 21 ) miles per gallon.

The miles per gallon of this car below (18 < 20.829) the average for cars of this weight.

Step-by-step explanation:

Weight                   Miles              

(pounds), x    per Gallon,   y             xy

3773                       17                     64,141

3793                       16                     60,688    

2706                      25                    67,650

3645                       20                  72,900

3308                         22                 72,776

2908                        24                   69,792

3675                         17                    62,745  

2687                        24                   64,488

3522                        18                     63,396

3827                        16                      61,232

∑y²=4075; ∑y=199;    ∑x²= 116,406,174 ; ∑x=33,844 ;  ∑xy=659,808

b= n∑XY - (∑X)(∑Y)/ n∑X² - (∑X)²

b=(10) (659,808) - (33,844)(199)/ 10 (116,406,174) - 1,145,416,336

b=6,598,080- 6,734,956/ 1,164,061,740 -1,145,416,336

b=136,876/18,645,404

b= 0.007341

a= Y`- bX`

a= 19.9- (0.007341) (3384.4)

a= 19.9 -24.845

a=-4.945

Y^= -4.945+ ( 0.007341) X

y= 0.007x- 4.945

Putting the values

y= 0.007x- 4.945

18 = 0.007(3511) - 4.945

18< 20.829

​The estimated average miles per gallon for cars of this weight is (20.829 or 21 ) miles per gallon.

The miles per gallon of this car below (18 < 20.829) the average for cars of this weight.


Related Questions

I need help on 19 and 20. Please help me. Please don’t put a link. Please help me.

Answers

Answer:

19:

4  <   third side    <   14  

20:

3  <   third side    <   13  

Step-by-step explanation:

hint: go to http://www.17 28.org/trianinq.htm

(fix the space between 17 and 28)

you're welcome xx

8.47÷6 in 2 decimal place​

Answers

Answer:

1.41

Step-by-step explanation:

8.47÷6 = 1.4116

Can you solve it on paper

Answers

Answer:

28/15

Step-by-step explanation:

What value of x will make line m parallel to line n?
The value of x that will make line m parallel to line n is?

Answers


Alternate interior angles are congruent, obviously, make sure you measure it as well.

The strength of a rectangular beam varies jointly as its width and the square of its depth. If the strength of a beam 2 inches wide by 10 inches deep is 1000 pounds per square inch, what is the strength of a beam 4 inches wide and 8 inches deep?

Answers

Answer:

yes

Step-by-step explanation:

i know this

A store gives reward points for every dollar
spent. The number of reward points varies
directly with the total amount spent.
Sofia spends $300 and receives 15 reward
points.
Juan spends $900. He receives reward points
at the same rate as Sofia.
How many more reward points will Juan
receive than Sofia?




Please help me I give u 14 points please only correct answers ,!!!

Answers

Answer- 30

Explanation:
This is a picture I found of the ansewer hope this helped

help with these 2 questions pls

Answers

Answer:

6 .

4X + 2 + X = 8X +2 -3X

5X+2=5X+2

0=0

The two sides of the equation are always equal ,so 3 or any other number can be a solution for it .

7.

6X+6-3X+6= X+4

3X+12= X+4

2X= -8

X= -4

Hope it was helpful .

Step-by-step explanation:

I hope that everything I have written helps you.if I'm wrong write the answers in your paper doesn't match with mine please tell me I'll try it again.

????????????????????????????????????????????????

Answers

Answer:

Second one to the top right i think

Step-by-step explanation:

HELP ASAPPPPP PLZZZZ Question in pic!!!!!

Answers

Step-by-step explanation:

Given

5y + 68 = 3y + 96 (vertically opposite angles) and

3x + 18 = 5x + 2 (vertically opposite angles)

Now solve for x.

[tex]3x + 18 = 5x + 2 \\ 3x + 18 - 5x = 2 \\ - 2x + 18 = 2 \\ - 2x = 2 - 18 \\ - 2x = - 16 \\ x = - 16 \div - 2 \\ = 8[/tex]

Now Solve for y.

[tex]5y + 68 = 3y + 96 \\ 5y + 68 - 3y = 96 \\ 2y + 68 = 96 \\ 2y = 96 - 68 \\ 2y = 28 \\ y = 14[/tex]

What are the measurements of FGT plssss?​

Answers

Answer:

The Foster–Greer–Thorbecke indices are a family of poverty metrics. The most commonly used index from the family, FGT2, puts higher weight on the poverty of the poorest individuals, making it a combined measure of poverty and income inequality and a popular choice within development economics.

Step-by-step explanation:

0000000

The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units

Answers

Answer:

The area of a triangle is 1/2BH, or 1/2 times the base times the height.

If the area = 6, and B and H must both be whole numbers.

The area of the triangle ΔSTU is given by A = 12 units²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the area of the triangle ΔSTU be represented as A

Now , the area of triangle ΔQTU is 6 square units, and the area of triangle ΔRSU is 6 square units

So , the base of the triangle ΔSTU = 6 units

The height of the triangle ΔSTU = 4 units

So , area of the triangle = ( 1/2 ) x Length x Base

On simplifying , we get

The area of triangle ΔSTU = ( 1/2 ) x 4 x 6

The area of triangle ΔSTU = 12 units²

Therefore , the value of A is 12 units²

Hence , the area of the triangle is 12 units²

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ3

The complete question is attached below :

The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units?

Use a net to find the surface area of the cone to the nearest
square centimeter. Use 3.14 for it.
23 cm
(The figure is not drawn to scale.)
The surface area of the cone is about cm2.
(Round to the nearest whole number as needed.)

Answers

Answer:

[tex]V=497.16\ cm^3[/tex]

Step-by-step explanation:

The attached figure shows a cone of radius 5 cm and height 19 cm. The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Substitute all the values,

[tex]V=\dfrac{1}{3}\times 3.14\times 5^2\times 19\\\\V=497.16\ cm^3[/tex]

So, the volume of the cone is equal to [tex]497.16\ cm^3[/tex].

One marble is picked at random and NOT replaced from a box that has 3 red marbles, 4 green marbles 2 blue marbles and one yellow marble. Find the probability of selecting a red and a red marble.

Answers

Answer:

3/9

Step-by-step explanation:

because there are total 9 marbles. 3 red, 4 green and 2 blue.so the probability is 3/9.

What is the circumference of a circle with a radius of 5.4 ft? Use 3.14 for π and round your answer to the nearest hundredth

Answers

Answer:

91.61

Step-by-step explanation:

A=πr2=π·5.42≈91.60884

hope this helps give me crown

find the value of x. pls and thank you quickly

Answers

Answer:

X=4

Step-by-step explanation:

[tex]\frac{X}{2} =\frac{X+2}{3} \\\\3x=2x+4\\\\x=4[/tex]

hope it helps....

the answer is 4, x=4

Solve 3x2−3x=0 by factoring.

Answers

Answer:

3x(x-1) = 0

x= 1

Step-by-step explanation:

is 3x2 supposed to mean 3x^2 i dont know

I need help with this please

Answers

Answer:

27

Step-by-step explanation:

2 is vertical to 1, making it 27 as well. then, 4 is corresponding to 4, making it 27

Answer:

27°

Step-by-step explanation:

angle 1 is vertically opposite to angle 2

angle 2 is correspondence to angle 4

vertically opposite and corresponding angles are equal

Need help once again!!!

Answers

Answer:

the answer to this question is seven

Using the pattern of blocks below, how many blocks does Figure 26 have?

Answers

All of the start out with one and then add 2 from there and they add a block on top
More than thirty lol

GIVING BRAINLIEST!!!!!!!!

1/2 x(6X4)+3+2

SHOW UR WORK PLS

Answers

Answer: 1/2 times 6x equals 3x  and then you do 1/2 times 4 and that equals 2 then multiply the 3 and 4 in the parenthesis and that is 12 then add 12 to the 3 and 2 and your answer is 17.

Step-by-step explanation:

help? i need this done by the end of the day

Answers

45.5 is the right answer

NEED HELP QUICK!!!!! A set of data includes the point (17,3.8) and has the regression equation y=-25x+436. What is the residual for this point

Answers

Given:

The regression equation is:

[tex]y=-25x+436[/tex]

The given point is (17,3.8).

To find:

The residual for the given point.

Solution:

We have,

[tex]y=-25x+436[/tex]

Substituting [tex]x=17[/tex], we get

[tex]y=-25(17)+436[/tex]

[tex]y=-425+436[/tex]

[tex]y=11[/tex]

The predicted value at [tex]x=17[/tex] is 11.

The given point is (17,3.8). It means the observed value at [tex]x=17[/tex] is 3.8.

Formula for residual:

Residual = Observed value - Predicted value

Residual = [tex]3.8-11[/tex]

Residual = [tex]-7.2[/tex]

Therefore, the residual for the given point is -7.2.

Help me please I will give Brainliest!

Answers

Answer:

n = 4.5

Step-by-step explanation:

I think it is 4.5 because n is 3 units ahead of 1.5 on the number line:

1.5+3=4.5

What is the value of x?
X

Answers

Answer:

30°

Step-by-step explanation:

PLS HELP ME GRADES ARE DUE TODAY! Fill in the chart below based on the graphs. Remember: Slope is vertical change divided by horizontal change.

Answers

Answer:

     VC    ,    HC     ,      S

A)    6      ,     3       ,      2

b)     8     ,      2       ,      4

c)     40   ,      20     ,      2

Answer:

Graph   Vertical   Horizontal   Slope

A            6               3                    2

B            2               8                    .25

C            40             20                 2

Step-by-step explanation:

Graph A

vertical...

9-3=6

horizontal...

4-1=3

slope...

6/3=2

Graph B

vertical...

3.5-1.5=2

horizontal...

10-2=8

slope...

2/8=.25

Graph C

vertical...

75-35=40

horizontal...

30-10=20

slope...

40/20=2

Mhanifa please help i will mark brainliest :)

Answers

Answer:

If figures are similar, corresponding sides have same ratio.

Similar polygons

Side IJ x is corresponding with QR, and side HK with PS:

x/6.5 = 25.5/8.5x = 6.5*3x = 19.5 Similar triangles

Ratio of corresponding sides:

x/7 = 18/6x = 7*3x = 21

Which of the following is the concept illustrated with the misentered​ data? A. The procedure for constructing the confidence interval is robust. The larger the sample​ size, the more resistant the mean.​ Therefore, the confidence interval is less robust. B. The procedure for constructing the confidence interval is robust. The larger the sample​ size, the more resistant the mean.​ Therefore, the confidence interval is more robust. C. The procedure for constructing the confidence interval is not robust. The smaller the sample​ size, the less resistant the mean.​ Therefore, the confidence interval is more robust.

Answers

Answer: B. The procedure for constructing the confidence interval is robust. The larger the sample​ size, the more resistant the mean.​ Therefore, the confidence interval is more robust.

Step-by-step explanation:

Large sized data samples usually have more stability than data with small samples, they yield a mean value which edges closer to the value of the population data. This means that large size data samples will have a mean which is more resistant to change than samples with a lower sample size. The confidence interval gives robustness while constructing a model by giving te leverage for a range of values based in a certain level of confidence upon which a statistical vale can be tested for validity.

what is the opposite of 1/7​

Answers

Answer:-1/7

Step-by-step explanation:

i could be wrong but i tink it going to negative would be the opposite

Can someone help me with this triangle??
Find missing side lengths

Answers

Answer:

Y=75     x=75

Step-by-step explanation:

This is a scalene triangle and the total of the degrees will always be 180. So 180-30=150

since there are two sides split 150 in 2. 150 divided by 2 = 75

describe and correct the error in the factoring polynomial. x^2+4x-96=(x-12)(x+8)​

Answers

Answer:

100.03

Step-by-step explanation:

i think it is correct

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