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

In one day at a store, 7% of the sales were
from shoes. Write 7% as a decimal.

Answers

Answer:

0.07

Step-by-step explanation:

Anwser: Your anwser is 0.07

Please help! Will give brainliest.

Your cost for each light saber is $2.45 plus you have to pay a fixed weekly fee of $250 for the booth. You plan to sell each light saber for $4.15.

Write an expression that represents the profit for selling (n) light sabers in a given week.

How many light sabers must you sell in order to make a positive profit? (Profit>=0)
In order to make a positive profit, you would have to sell at least (blank) light sabers.

Answers

$4.15n - ($250 + $2.45n)

Now that we have our expression, let's set it greater than or equal to 0

$4.15n - ($250 + $2.45n) >= 0

Let's simplify the left side.

$4.15n - $250 - $2.45n >= 0.

Combine like terms.

$1.7n - $250 >= 0

Add $250 to both sides.

$1.7n >= $250

Divide both sides by $1.7

n >= 148

You would need to make 148 light sabers to make a positive profit.

What is the equation to the expression -2-3(-4)?​

Answers

Answer:

c) -1

Step-by-step explanation:

-2-3-(-4)

=-5+4

=-1

Arnold needs to simplify the expression below.
4.3x3+11
(8.2-0.5 x 7)- 6
Which operation should he perform first?
O 7-6
O 0.5x7
O 8.2-0.5
3 +11

Answers

I believe it should be 0.5 x 7 as that is in a bracket and you have to deal with the bracket first before dealing with numbers outside the bracket.

Answer:

0.5 x 7

Step-by-step explanation:

hope this helps

HELP PLEASE THANK YOU SO SO SO MUCH <3

Answers

Just copy this down. you welcome

Round 3,760 to the nearest hundred.

Answers

Answer:

3,800

Step-by-step explanation:

Rounding something means going up or down basically. To the nearest hundred means rounding up or down until the number is exactly 100, 200, 300, etc.. If it's 50 or higher it'll always be rounded up. so 760 is rounded to 800 as "60" is higher than "50."

Hope this helps and have a nice day!

Answer:

3,800

I hope this helps!

A triangle measures 12 degrees and 40 degrees what is the measurement of the 3rd angle of the triangle

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{128°}}}}}[/tex]

Step-by-step explanation:

Sum of angles of triangle add up to 180°

Let the third angle be x

Create an equation and solve for x

[tex] \sf{x + 12° + 40° = 180°}[/tex]

[tex] \dashrightarrow{ \sf{x + 52° = 180°}}[/tex]

[tex] \dashrightarrow{ \sf{x = 180° - 52°}}[/tex]

[tex] \dashrightarrow{ \boxed{\sf{x = 128°}}}[/tex]

Hope I helped!

Best regards! :D

need help solving 3/5+1/4=​

Answers

Answer:

17/20 or 0.85

Step-by-step explanation:

3 x 4/20 + 1 x 5/20

12/20 + 5/20

( 12 + 5 ) / 20

17/20

( 0.85 )

Solve.
4y - 3 = 5y + 2
Enter your answer in the box.
y = O

Answers

Answer:

y=-5

Step-by-step explanation:

Answer:

it's -5

Step-by-step explanation:

4y−34y−3−4y−3−3−2−5=====5y+25y+2−4yy+2y+2−2ySubtract 4y from each side.Combine like terms.Subtract 2 from each side.Simplify.

Prasha has five blocks of wood The total weight of all five blocks of wood is 3 kilograms. 4 of the blocks of wood each have a weight of 650 grams. Work out the weight, in grams, of the other block of wood. Step by step please :).

Answers

Let’s convert 3 kilograms to 3000 grams just to make things easier.

650 * 4 = 2600 grams. This is the total weight of the 4 blocks.

To find the weight of the final block, 3000 - 2600 = 400 grams

The weight of the other block of wood is 400 grams.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Prasha has five blocks of wood the total weight of all five blocks of wood is 3 kilograms.

4 of the blocks of wood each have a weight of 650 grams.

∴ (4×650) = 2600 grams is the total weight.

So, the weight of the other block of wood is (3000 - 2600) grams.

= 400 grams.

learn more about the unitary method here :

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How do you know that 8 thousandths is less than 1 hundredth

Answers

Because the hundredths is between 10-99 and thousandths is between 100-999

The ratio of cats to dogs in the park is 2:3. If there are 18 dogs in the park, how many cats are in the park?

Answers

Answer:

12

Step-by-step explanation:

The manufacturer of pencils spends $0.05 to make each pencil and sells them for 0.25. The manufacturer also has fixed
costs each month of $2000. Find the number of pencils x that the manufacturer needs to sell in order to break even

Answers

Answer:

x=10000

Step-by-step explanation:

The break even point occurs when costs equal revenue. Write the break-even formula and solve to find

C(x)0.05x−20000.2xx=R(x)=0.25x=2000=10000.

The function g(x) is graphed below. Find g(2).* N 22 need help solving please ​

Answers

Answer:

x =2, The function g(x) = g(2) = 1

Which of these is true about pi? A It is a terminating decimal. B It is an irrational number. C It is a repeating decimal. D It is a ratio of integers.

Answers

Answer:

B. It is an irrational number

Step-by-step explanation:

A would not be true because PI does not terminate (end)

B is true, because PI does not repeat or end

C would not be true because PI does not repeat

D just would not be true

Solve |2x - 1| + 3 = 6.

Answers

Answer:

x =2                         x = -1

Step-by-step explanation:

|2x - 1| + 3 = 6.

Subtract 3 from each side

|2x - 1| + 3-3 = 6-3

|2x - 1|= 3

An absolute value has two solutions, one positive and one negative

2x-1 =3                   2x -1 = -3

Add 1 to all sides

2x-1+1 =3+1             2x-1+1 = -3+1

2x = 4                      2x =-2

Divide by 2

2x/2 = 4/2                 2x/2 = -2/2

x =2                         x = -1

Steps to solve:

|2x - 1| + 3 = 6

~Subtract 3 to both sides

|2x - 1| = 3

~Since we are working with an absolute value, one answer will be positive and one will be negative.

2x - 1 = 3

~Add 1 to both sides

2x = 4

~Divide 2 to both sides

x = 2

2x - 1 = -3

~Add 1 to both sides

2x = -2

~Divide 2 to both sides

x = -1

Best of Luck!

The triangle will be enlarged by a scale factor of 10. A triangle with base 10 centimeters and height 7 centimeters. What will be the area of the new triangle?

Answers

Answer:

3500cm^2

Step-by-step explanation:

Area of a triangle= bxh/2

10x10=100

7x10=70

100x70=7000

7000/2=3500

Answer:

  3500 cm²

Step-by-step explanation:

The given triangle has an area of ...

  A = (1/2)bh = (1/2)(10 cm)(7 cm) = 35 cm²

The area of the enlarged triangle will be 10² = 100 times that, or 3500 cm².

__

You can see this if you use the enlarged dimensions in the area formula:

  A = (1/2)bh = (1/2)(10·10 cm)(10·7 cm) = 100·35 cm² = 3500 cm

what does ="" mean ?

Answers

PLEASE GIVE BRAINLIST

equal

quotation marks

HOPE THIS HELPED

can you help me with this queistion

Answers

The answer is B trust me

Answer:

B

Step-by-step explanation:

how to solve the equation 2= -9n +22-n

Answers

Answer:

n = 2

Step-by-step explanation:

2 - 22 = -9n + 22 - n - 22

-20 = -9n - n

-20 = -10n

-20/-10 = -10/-10n

-2 = -n

n = 2

Answer:

The value of n is 2.

Step-by-step explanation:

First, you have to collect like-terms :

[tex]2 = - 9n + 22 - n[/tex]

[tex]2 = - 10n + 22[/tex]

Next, you have to subtract 22 on both sides :

[tex]2 - 22 = - 10n + 22 - 22[/tex]

[tex] - 20 = - 10n[/tex]

Lastly, have to divide -10 on both sides :

[tex] - 10n = - 20[/tex]

[tex] - 10n \div - 10 = - 20 \div - 10[/tex]

[tex]n = 2[/tex]

A candy distributor needs to mix a 30% fat-content chocolate with a 40% fat-content chocolate to create 150 kilograms of a 32% fat-content chocolate. How many kilograms of each kind of chocolate must they use?

Answers

Answer:

120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.

Step-by-step explanation:

We are given that a candy distributor needs to mix a 30% fat-content chocolate with a 40% fat-content chocolate to create 150 kilograms of a 32% fat-content chocolate.

Let the amount of 30% fat-content chocolate be 'x' and the amount of 40% fat-content chocolate be 'y'.

So, according to the question;

x + y = 150 ------------ [equation 1]

and [tex]30\% \text{ of } x + 40\% \text{ of } y=32\% \text{ of } 150[/tex]

[tex]30x+40y= 32 \times 150[/tex]

[tex]30x+40\times (150-x)= 4800[/tex]

[tex]30x+6000-40x= 4800[/tex]

[tex]10x = 6000-4800[/tex]

[tex]x=\frac{1200}{10}[/tex]

x = 120 kg

Now, putting the value of x in equation 1, we get;

x + y = 150

120 + y = 150

y = 30 kg

Hence, 120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.

the floor of a house is shaped like a parallelogram the height of the parallelogram is 8 feet less than the base. the base is 48 feet. the length of the other side of the parallelogram is 45 ft what is the area of the floor?​

Answers

Answer:

1920 ft^2

Step-by-step explanation:

base = 48 ft

height = 48 ft - 8 ft = 40 ft

area = base * height

area = 48 ft * 40 ft

area = 1920 ft^2

The retail inventory value of an item is the item's retail price times the quantity in stock. If a pack of cookies' retail price is $2.98 and there are 9 items in inventory, what is the total retail value?

Answers

Answer:

$26.82

Step-by-step explanation:

9 * 2.98 = 26.82

pls mark brainliest, thanks :)

The point (3,65) lies on the graph representing a proportional relationship. Which of the following points also lie on the same graph?

Answers

Answer:

Step-by-step explanation:

ohhh

Answer:

A B and E all fall on the line expressed.

Step-by-step explanation:

$1,672.68
$287.84
$12.32

Answers

Answer:

$1672.68

Step-by-step explanation:

1,672.68

explanation:

A 150 foot fence encloses a garden. What is the length of each side of the garden?

Answers

15ft, 45 ft , 30 ft and 60 ft

Which is the definition of a ray?a part of a line that has one endpoint and extends indefinitely in one direction the set of all points in a plane that are a given distance away from a given point lines that lie in the same plane and do not intersect part of a line that has two endpoints

Answers

Answer:

a part of a line that has one endpoint and extends indefinitely in one direction-by-step explanation:

The definition of a ray can be stated as: a part of a line that has one endpoint and extends indefinitely in one direction.

What is a Ray?

In geometry, a ray can be defined as a line segment that has one endpoint and extends on the one direction of the line segment indefinitely.

An example of a ray is shown in the image attached below. Line segments red and blue are two rays with one endpoint that extends towards another direction indefinitely.

Therefore, the definition of a ray can be stated as: a part of a line that has one endpoint and extends indefinitely in one direction.

Learn more about a ray on:

https://brainly.com/question/1850410

Demi traveled 480 miles in 6 hours. What was her average speed in miles per hour?

Answers

The classic formula relating rate (also called “average speed”), time and distance is:

r x t = d

That is, rate x time equals distance. The problem statement asks us for the rate and gives us the time (6 hours) and distance (480 miles). We can substitute those values into the classic formula:

r x 6 hours = 480 miles

To solve for r, we divide the terms on both sides of the equal sign by 6 hours. This works because the two sides are equal and we treat them equally by dividing the two sides by the same amount, so the results should be equal. Thus we get:

r = 480 miles/6 hours

Simplifying, we get:

r = 80 miles/hour

To CHECK, let’s plug back into the original equation:

r x t = d

80 miles/ hour x 6 hours = 480 miles

480 miles = 480 miles which is true. Yippee.

Jeri drew the following model to represent the fraction 2/3. What's wrong with her model? had to redo it

Answers

Answer:

It is not an equal diagram it is showing 1/2 instead of 2/3

Step-by-step explanation:

HOPE THIS HELPS!!!     (mark brainliest)

The model is incorrect because 2/3 represents the 2 parts of 3 whole and the model is not representing 2/3.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The model is representing 2/3.

As we can see in the picture the model is not representing 2/3 because 2/3 means 2 parts of 3 whole.

It is not an equal diagram it is showing 1/2 instead of 2/3

Thus, the model is incorrect because 2/3 represents the 2 parts of 3 whole and the model is not representing 2/3.

Learn more about the fraction here:

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1/5 X B = 40 what is b

Answers

Answer:B = 200

Step-by-step explanation:multiply both sides by 5

5*1/5 = 5*40

B = 200

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