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

The diameter of a circle is 5 cm. Find its circumference in terms of .

Answers

Answer:

If you are round the answer, you would get 15.7 cm. If not, you would get around 16 cm.

Step-by-step explanation:

The diameter is 5 and π is 3.14. You multiply those two together to get 15.7 cm. If the teacher asks to round, you will get 16 cm.

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Answer:

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GameStop pays $12.00 for each Minecraft video game. They markup each game by 40%. What is the selling price?

Answers

Answer:

$16.80

Step-by-step explanation:

12 * 1.4 = 16.8

Answer:

$16.80

Step-by-step explanation:

Find 40 % of 12 by multiplying .05*12 to get $4.80. Add the original price $12 and the price increase $4.80 to get the new selling price of $12

How to solve this triangle, please help me.

Answers

Answer:

sum of angles in a triangle is 180

so 70+60+ 8x+2 = 180

132+ 8x = 180

8x = 180-132

x = 48/8

x= 6

then find the angle by substituting value of x

8x + 2

8*6 + 2

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Solve each triangle for the missing values shown. Show all work necessary. Use exact values

Answers

3)

[tex] Cos 60°= \frac{1}{2} = \frac{Adjacent} {Hypotenuse} = \frac{y} {10} \\\\ 2y=10 \\\\ y=5 [/tex]

Now, use Pythagoras theorem to find x

[tex] x^2+y^2=10^2 \\\\ \to x^2+5^2=10^2 \\\\ \to x^2+25=100 \\\\ \to x^2 = 100-25 \\\\ \to x^2= 75 \\\\ \to x= \sqrt{75} \\\\ \bf 5 \sqrt{3} [/tex]

Similarly,

4)

[tex] Sin 45°= \frac{1}{\sqrt{2}} = \frac{Opposite} {Hypotenuse} =\frac{2 \sqrt{2}} {a} \\\\ a= 2 \sqrt{2} \times \sqrt{2} \\\\ a=4 [/tex]

Now, use Pythagoras theorem to find b

[tex] b^2+(2 \sqrt{2}) ^2=a^2 \\\\ \to b^2+8=4^2 \\\\ \to b^2=16-8 \\\\ \to b^2 = 8\\\\ \to b= \sqrt{8} \\\\ \bf b=2 \sqrt{2} [/tex]

You can solve all of them in a similar way.

: )

An automatic dog feeder in the shape of a cone has a height of 18 centimeters. If it holds about 8,308 cubic centimeters of dog food, approximately what is its RADIUS?

Answers

21 cm.


V= 1/3 ^2
8308=1/3 (18)
8308/6
=21cm

In a science experiment, Shelly has to weigh a compound in grams. The balance in her school measures in milligrams (mg). Shelly finds that the weight of the compound is 8,450 mg. What is the value in grams (g) that Shelly should enter?

Answers

Answer:

8.45 grams

Step-by-step explanation:

In a science experiment, Shelly has to weigh a compound in grams. The balance in her school measures in milligrams (mg). Shelly finds that the weight of the compound is 8,450 mg. What is the value in grams (g) that Shelly should enter?

1 mg = 0.001 g

8450 mg = x

Cross Multiply

= 8450 × 0.001 g

= 8.45 g

Therefore, Shelly should enter 8.45 grams

Triangle ABC is similar to triangle FED, find the measure of x. A. X = 9 B. X = 11 C. X = 110 D. X = 231

Answers

Answer:

[tex]A+B+C=130[/tex]

[tex]F+E+D=273[/tex]

Step-by-step explanation:

From the question we are told that:

Dimension of ABC

A=9

B=11

C=110

Dimension of FED

D=231

Generally the equation for the similar triangles is mathematically given by

[tex]\frac{A}{F}=\frac{B}{E}=\frac{C}{D}[/tex]

Therefore solving for F

[tex]\frac{9}{F}=\frac{110}{231}[/tex]

[tex]F=\frac{9*231}{110}[/tex]

[tex]F=18.9[/tex]

Therefore solving for E

[tex]\frac{11}{E}=\frac{110}{231}[/tex]

[tex]E=\frac{11*231}{110}[/tex]

[tex]E=23.1[/tex]

Measure of [tex]\triangle ABC[/tex]

[tex]A+B+C=130[/tex]

Measure of [tex]\triangle FED[/tex]

[tex]F+E+D=273[/tex]

1. Complete the table to find the sample space for rolling a
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Answers

Step-by-step explanation:

is there supposed to be a pic attached?

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Answers

Answer:

750

Step-by-step explaintion

150, 300, 450, 600, 750

250, 500, 750

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Step-by-step explanation:

Estimate a 20% tip on a dinner bill of $142.74 by first rounding the bill amount to the nearest ten dollars.
Estimated tip:
X
6
?

Answers

$142.74 rounded to nearest ten dollars is $140. And so now you find 20% of 140 by multiplying 140 by .20 (which is the decimal form of 20%). You’ll get $28 and that will be tip but total bill would be $140+$28 or $142.74+$28 to be exact.

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Step-by-step explanation:

if the tip amount is around $28.55 and your putting 20% it would $171.29 but it would determine how many people they are.

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Answers

Answer:

Option D

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because wy bisects XZ , XY and ZY are equal so ..

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Answers

Answer:

<C = <A

Step-by-step explanation:

In parallelograms, opposite angles are congruent. This means that <C=<A and <B=<D. Additionally, adjacent angles are supplementary; so when added they equal 180.

2\sqrt((25)/(64))-(3)/(8)

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Answer:

ook

Step-by-step explanation:

oaxy8g7qd c7heuhwciwycowbobwxicx

donvc

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Step-by-step explanation:

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A chef used 6 cups of flour for every 2 cups of sugar to bake a cake. If he uses 12 cups of sugar, how many cups of flour did he use?

Answers

Answer:

36

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Answers

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D

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the type of pizza they get depends on how many votes there are

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Observe as afirmativas

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?

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Answer:

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I hope its helps.........

a) 3∕5= 60∕100= 40% (resolvido) b) 11∕4= c) 4∕20= d) 9∕5= e) 10∕200= 5∕100= 5% (resolvido) f) 8∕200= g) 30∕300=

Answers

Answer:

En cada expresión queremos obtener 100 en el denominador.

Notar que en la primer eq. tendríamos:

a) 3/5 = (20/20)*(3/5) = (20*3)/(20*5) = 60/100 = 0.6  (corresponde a 60%)

b) 11/4 = ?

Acá el denominador es 4

tenemos que encontrar un número k tal que:

k*4 = 100

k = 100/4 = 25

Entonces podemos multiplicar denominador y numerador por 25.

11/4 = (25/25)*(11/4) = (25*11)/(25*4) = 275/100 = 2.75 (corresponde a 275%)

c) 4/20

el denominador es 20, entonces tenemos que resolver:

20*k = 100

k = 100/20 = 5

multiplicamos denominador y numerador por 5:

(5/5)*(4/20) = (5*4)/(5*20)  =  20/100 = 0.2  (corresponde al 20%)

d) 9/5

el denominador es 5, entonces debemos resolver:

5*k = 100

k = 100/5 = 20

Debemos multiplicar denominador y numerador por 20

(20/20)*(9/5) = (20*9)/(20*5) = 180/100 = 1.8  (corresponde a 180%)

e) 10/200 = 5/100 = 0.05  (corresponde al 5%)

f) 8/200

Se resuelve de similar forma al de arriba (que ya tenias resuelto).

Aca el denominador eso 200, entonces tenemos que tener:

200*k = 100

k = 100/200 = 1/2

Entonces multiplicamos numerador y denominador por 1/2

(1/2/1/2)*(8/200) = (8*1/2)/(200*1/2) = 4/100 = 0.04 (corresponde al 4%)

g) 30/300

aca el denominador es 300

Entonces:

300*k = 100

k = 100/300 = 1/3

Multiplicamos numerador y denominador por 1/3

(1/3/1/3)*(30/300) = (30*1/3)/(300*1/3) = 10/100 = 0.1  (corresponde al 10%)

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Answers

Answer:

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Step-by-step explanation:

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And the reason I know this is because I’m in 7th and have the exact same question

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