1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Harrizon [31]
3 years ago
11

(5.25) An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he m

easured 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 degrees F) over a 23-month period. He then computed the least-squares regression line for predicting y from x and found it to be
Mathematics
1 answer:
Alchen [17]3 years ago
5 0

This question is incomplete, the complete question is;

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 65oF) over a 23-month period.

He then computed the least-squares regression line for predicting y from x and found it to be:   y^=80+16x.  

How much, on average, does gas used increase for each additional degree-day?

Answer : ______ cubic feet.

(Give your answer as a whole number.)

Answer:

Amount of natural gas used increased by 19 cubic feet.

Step-by-step explanation:

Given the data in the question;

Let the dependent variable y be the amount of natural gas used ( ft³ )

Also let an independent variable x be be the degree days temperature ( in °F)

So the least squares regression equation is;

y^{bar} = 80 + 16x

or

amount_of_natural_gas_used = 80 + 16(degree_days_temperature

Th slope or the standardized regression coefficient of the given regression equation is;

b₁ = 16

the slope coefficient b₁ = 16 is tells us that for each additional one-degree days temperature, an amount of natural gas used increased by 19 cubic feet.

Therefore, amount of natural gas used increased by 19 cubic feet.

You might be interested in
HELP ME IM STUPID! WILL MARK BRAINLIEST!!!!
Crank

Answer:

There is a horizontal translation 4 units left, and and vertical translation 1 unit down.

Step-by-step explanation:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Parent function: f(x) = (5)^x

Horizontal translation: 4 units left

Vertical translation: 1 unit down

Reflection about the x-axis: none

Vertical stretch: stretched

7 0
2 years ago
the change in water vapor in a cloud is modeled by a polynomial function, c (x). describe how to find the x - intercepts of c (x
lukranit [14]

The change in the water vapors is modeled by the polynomial function c(x). In order to find the x-intercepts of a polynomial we set it equal to zero and solve for the values of x. The resulting values of x are the x-intercepts of the polynomial.

Once we have the x-intercepts we know the points where the graph crosses the x-axes. From the degree of the polynomial we can visualize the end behavior of the graph and using the values of maxima and minima a rough sketch can be plotted.

Let the polynomial function be c(x) = x ² -7x + 10

To find the x-intercepts we set the polynomial equal to zero and solve for x as shown below:

x ² -7x + 10 = 0

Factorizing the middle term, we get:

x ² - 2x - 5x + 10 = 0

x(x - 2) - 5(x - 2) =0

(x - 2)(x - 5)=0

x - 2 = 0 ⇒ x=2

x - 5 = 0 ⇒ x=5

Thus the x-intercept of our polynomial are 2 and 5. Since the polynomial is of degree 2 and has positive leading coefficient, its shape will be a parabola opening in upward direction. The graph will have a minimum point but no maximum if the domain is not specified. The minimum points occurs at the midpoint of the two x-intercepts. So the minimum point will occur at x=3.5. Using x=3.5 the value of the minimum point can be found. Using all this data a rough sketch of the polynomial can be constructed. The figure attached below shows the graph of our polynomial.

8 0
3 years ago
Read 2 more answers
Need help ASAP please
pochemuha

Answer:

B

Step-by-step explanation:

7 0
3 years ago
HELP PLSS I HAVE A QUIZZ
Pie

Answer:

The question is vary small.

Step-by-step explanation:

I can't see it.

5 0
3 years ago
Tamiko makes a necklace by stringing beads with the following colors: red, yellow, blue, red, yellow, blue,... If she continues
Anettt [7]

50=3\cdot16+2

So, it will be the second color which is yellow.

6 0
3 years ago
Read 2 more answers
Other questions:
  • A family of two adults and four children is going to an amusement park.Admission is $21.75 for adults and $15.25 for children.Wh
    13·1 answer
  • What is the solution to the following system of equations? 3x-4y=-35 3x+4y=5
    5·2 answers
  • 14 is what percent of 70
    6·2 answers
  • Which equation represents a graph with a vertex at (1, –6)?
    12·2 answers
  • Which of the following is a linear function? (1 point)
    13·1 answer
  • Can you put this in order -4, 5/8, 3, and -2.9
    10·2 answers
  • The moon is 240,000 miles from earth . what is the order of magnitude of this number
    14·1 answer
  • If GFE ~ GHJ, find the value of x.
    5·1 answer
  • Please help!
    14·2 answers
  • Please answer below :)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!