An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas used y (in cubic feet) to heat the home and outside temperature x (in degree-days, where a day's degree-days are the number of degrees its average temperature falls below 65° F) over a 23-month period. He then computed the least-squares regression line for predicting y from x and found it to be ŷ = 84 + 18x. How much, on average, does gas used increase for each additional degree-day?

Answers

Answer 1

Answer:

18

Step-by-step explanation:

In the linear regression equation y=a+bx, slope coefficient b represents average unit increases in y variable due to unit increase in x variable.

In the given equation ŷ = 84 + 18x, b=18 represents average unit increases in gas used due to unit increase in degree day.

Hence,on average,  gas used increase by 18 for each additional degree-day.


Related Questions

is negative 73 a natural number

Answers

No.

Negative numbers are not natural numbers.

Natural numbers are positive whole numbers.

1, 2, 3.... and so on.

Step-by-step explanation:

Hey there!!

(-73) is not a natural number.

The reason is natural number always starts from 1 and ends at infinity. But as the given number is -73 it is below 1. So, it's not a natural number.

Hope it helps...


(You will need a calculator.) Suppose you deposit $4800 into an account paying 3.2% simple annual interest and leave it there for six years.
Assuming that you make no other deposits or withdrawals, how much will the account hold at the end of that time?
Answer: $
(Round your answer to the nearest cent. Enter only the number without commas, not the dollar sign.)

Answers

The answer is 38,016. You have to multiply 4800 by 6 which equals 28,800. then multiple 0.32 times 4800 which equals 1538. multiply 1538 by 6 which equals 9,216 and then add 28,800 which equals it to 38,016.

Answer:

Step-by-step explanation:

principal (P) = $4800

Interest (I) = 3.2%

Time (T) = 6 years

Now

I = (P*T*R)/ 100 = (4800*3.2*6) / 100 = 921.6

Amount (A) = P + I = 4800 + 921.6 = $5721.6 = $5272

     

In which table does y vary directly with x

Answers

Answer:

No. C

Step-by-step explanation:

please mark me brainleast

Table C shows the proportional relationship between x and y that y varies directly with x option (C) is correct.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

We have:

y vary directly with x

y ∝ x

y = kx

k is the constant.

k = y/x

Checking table A:

k  = -2/1 = -4/2 ≠ -16/3

Checking table B:

k = -5/1  ≠  18/2 = 41/3

Checking table C:

k = 26/1 = 52/2 = 78/3 = 26

Thus, table C shows the proportional relationship between x and y that y varies directly with x option (C) is correct.

Learn more about the proportional here:

brainly.com/question/14263719

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What's 2|–9| – |–2|? Question 10 options: A) 20 B) –18 C) 16 D) –20

Answers

Answer:

Step-by-step explanation:

7

I think it would be 16
2 x -9 =-18 and which the absolute value sign would make it positive 18 then 18 - the absolute value of -2. 18-2= 16

not sure if that is the answer tho

Round the following to three decimal places.
: A. 1.4366 B. 0.8792
C. 0.3455

Answers

Answer:

1.4370.8790.346

Step-by-step explanation:

A. 1.4366 = 1.437

B. 0.8792  = 0.879

C. 0.3455 = 0.346

[tex]0.1\:1\:1\:1\\0\:. 1\:2\:3\:4\:decimal \:place[/tex]

Note ;

(0 to 4 ); round down (0 to 5);  round up

In an alloy of gold and silver the ratio of the amount of gold to the amount of silver is 2:5.

What is the weight of gold in the alloy, if there are 80g of silver?

Answers

Given :

The ratio of the amount of gold to the amount of silver is 2:5.

To Find :

The weight of gold in the alloy, if there are 80 g of silver.

Solution :

Let, amount of gold is x.

So, the ratio of amount of gold and silver is :

[tex]\dfrac{x}{80}=\dfrac{2}{5}\\\\x=32\ g[/tex]

Therefore, the weight of gold in the alloy is 32 g.

Hence, this is the required solution.

Answer:

32

Step-by-step explanation:

do 80÷5=16 to get unit. Then do 16*2=32

Please complete the venn diagram and list how many elements are in each region thanks :)

Answers

Answer:

5

Step-by-step explanation:

Region I = n(A) - n(A union B) - n(A uniton C) + region V

              = 24 - 10 - 15 + 6

              = 5

When considering different sampling methods, cluster sampling includes the steps: _______.
a. use simple random sampling to select a set of groups; every individual in the chosen groups is included in the sample
b. list the members of the population; use simple random sampling to select a starting point in the population; let k = (number of individuals in the population)/(number of individuals needed in the sample); choose every kth individual in the list
c. starting with the one that was randomly selected
d. divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group
e. identify individuals of the population that are easily accessible; obtain data from these individuals

Answers

Answer:

d. divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group

Step-by-step explanation:

Remember, a cluster represents a selection out of a group belonging to a larger population. Thus, cluster sampling includes the steps;

divide the population into groups;use simple random sampling to identify a proportionate number of individuals from each group.

For example, A bus company wants to survey all its customers for a particular day, using cluster sampling, they will randomly select 10 trips that day and survey some or all the passengers on those trips.

Answer:

B

Step-by-step explanation:

Combine like terms -2+5x-8x+4

Answers

Answer:

-3x+2

Step-by-step explanation:

5x-8x-2+4

= -3x+2

Answer:

-2+5x-8x+4

-3x+2

Step-by-step explanation:

4. Rewrite the expression using the distributive property.
(7•3) + (7•7)

Answers

(7•7)+(7•7)

We can use the formula of distributive property
a(b+c)=ab+ac
So it will look like a(b+c)= (7•7)+(7•3)
A is 7, B is also 7, and C is 3. Plug those in and you get 7(7+3)

Answer: 7(7+3)

Hope this helps ʕ•ᴥ•ʔ

find the distance between points J(13,2) and K(7,10)

Answers

Answer:

10

Step-by-step explanation:

√(13 – 7)^2 + (2 – 10)^2

√(6)^2 + (-8)^2

√36 + 64

√100

10

PLEASE HELP!

What percent of the circle is shaded?
Can you also explain how to get the answer?

Answers

Answer:

40%

Step-by-step explanation:

1/5 = 20%

then 2/5 would equal 40%

Answer:

40%

Step-by-step explanation:

It is 40 because if you move the two shaded then its two and if you fill in the rest you will need three more.

Inez says you can plot 4/5 on a number line, but Jeremiah says you cannot. Who is correct?

Answers

Inez is correct, 4/5 is a real number

Answer:

Inez is correct.

Step-by-step explanation:

You can plot any real number on a number line.

simplify: 6 + √27 / 3

Answers

Answer:

6 + √27 / 3

6+ (3√3/3)

6+√3

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

So, the first step if simplifying the square root. Since 27/3 is equal to 9, you now have to take the square root of 9.

6+[tex]\sqrt{27/3}[/tex]=?

Since 27/3 is equal to 9, you now have to take the square root of 9.

6+[tex]\sqrt{9}[/tex]=?

The square root of 9 is 3.

So, you end up with this:

6+3=12

what is the capital of poland?​

Answers

Answer:

Warsaw is capital of poland

Answer:

Warszawa

Step-by-step explanation:

c. When the cost of flour was Rs 28 per kg, the weight of a bread was 496 gram.
What will be the weight of bread if the cost of flour increases to Rs 32 per kg?

Answers

Answer:

hope it helps

plz mark as brainliest

Answer:

when cost of flour was 28 then cost of bread is 496

so the coost of bread if flour cost 32 = 496*32/28=566.86

Step-by-step explanation:

The equation of a parabola with a vertex as the origin is y2=−4px. If 4p=12, what is the equation of the directrix?

Answers

Answer:

-5

Step-by-step explanation:

Write an equation for the cubic polynomial
function shown.
To find the equation of the function, first find the
of the graph.

Answers

Answer:

Step-by-step explanation:

It is zeroes

Answer to 1st question: Zeroes

Answer to 2nd question: 2 3 5

.....................

Answers

Uhhhh not sure if you just added dots or I can’t see the question maybe try posting it again.

ASAP
Sales tax is calculated as a percentage of the sales price. If sales tax is 6%, what is the sales tax on clot that cost 180
$6.00
O $9.80
$10.80
O $18.60

Answers

The answer should be $10.80.
The reason being. 180 x 6% = 10.80. You would then add 10.80 to 180 to get the total which would be $190.80. But you only need what the tax would be so the tax would be $10.80

Tim biked 40 miles in 2 hours. His Rate is
every hour.
This means Tim biked
miles for every hour ?

Answers

Answer:

20 miles/hour

Step-by-step explanation:

40 miles in 2 hours,

thus,

         40/2 miles  in 2/2 hours = 20 miles in 1 hour.

Therefore, Tim bikes 20 miles per hour.  

You work at a sporting goods store and make commissions on the products you
help sell. If you earn a 5.5% commission on all regular priced items, and a 4.5%
commission on all items on sale, how much do you earn in a week where you sell
$8,800 worth of regular goods, and $10,650 worth of items that are on sale?

Answers

Answer:

963.25

Step-by-step explanation:

8,800x0.055=484

10,650x0.045=479.25

484+479.25=963.25

Margo baked 120 cookies for the school big sale 84 of the cookies were chocolate chip what portion of the cookies were chocolate chip select the three correct answers a 42/60 B 84% C7/10 D 0.70 E 0.84

Answers

D

Explanation:
120*0.70
84

So, 70 percent of 120 is 84. Which means the chocolate chip cookies are 70% (0.70) of the cookies in all.

I am genuinely so confused please help

Answers

Answer:

I hope it will help you :)


A rate of 5 yards per second is equal to how many yards per minute?

Answers

Answer:

300 yards per minute

Step-by-step explanation:

60 seconds in a minute 5 yards per second

5x60=300 yards per minute

2. Select all ratios that are equivalent to 3:18.
21:126
6:36
1:6
1:18
15
21

Answers

Answer:

21:126

6:36

1:6

Step-by-step explanation:

Tyler is paid time and a lovertime after 40 hours worked in a week. His hourly rate is $13/h. What is his
gross pay if he worked 48.5 hours last week?

Answers

Answer:

$630.50

Step-by-step explanation:

The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the​ cylinder?

Answers

Answer: 27 cm

Step-by-step explanation:

We know that the volume of a cylinder is [tex]V=\pi r^2h[/tex]. Since we were given the volume and radius, we can plug them in and solve for height.

[tex]675\pi =\pi (5^2)h[/tex]              [divide both sides by π]

[tex]675 = (5^2)h[/tex]                  [exponent]

[tex]675=25h[/tex]                     [divide both sides by 25]

[tex]h=27[/tex]

Now, we know that the height is 27 cm.

What is the sum of the first 10 even multiples of 8?

Answers

the first 10 multiples of 8 are 8,16,24,32,40,48,56,64,72 and 80.

all of those numbers add up to the sum of 440

440 is ur answer :)

A rectangle with length of 9 centimeters and width of 5 centimeters. The perimeter of the rectangle is cm. If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions are . The perimeter of the new rectangle is ✔ 168 cm. When comparing the new perimeter to the original perimeter, the new perimeter is .

Answers

The perimeter of the new rectangle is 150 cm more than the original perimeter.

What is a rectangle?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle with a length of 9 centimeters and a width of 5 centimeters.

The perimeter of the rectangle will be

Perimeter = 2 (9 + 5)

Perimeter = 2(14)

Perimeter = 28

If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions will be

Length = 6 × 9 = 54 cm

Width = 6 × 5 = 30 cm

The perimeter of the new rectangle is 168 cm.

When comparing the new perimeter to the original perimeter, the new perimeter will be

→ New perimeter - original perimeter

→ 168 - 28

→ 150

The perimeter of the new rectangle is 150 cm more than the original perimeter.

More about the rectangle link is given below.

https://brainly.com/question/10046743

#SPJ2

Answer:

1. C
2. D
3. D
4. B

Step-by-step explanation:

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