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
avanturin [10]
3 years ago
5

Error Degrees of Freedom are calculated as n - p - 1 for multiple regression models. The p represents the number of coefficients

(not including the intercept) in the estimated model. Part A: Report the Error Degrees of Freedom for this example: Assume 160 observations are used to estimate a model with 2 numerical explanatory variables both with a linear relationship to the response and 1 categorical explanatory variable. The categorical variable has 4 levels. Part B: Assume 160 observations are used to estimate a model with 2 numerical explanatory variables both with a linear relationship to the response. In addition there is one categorical variable with 3 levels and another categorical variable with 4 levels. Report the Error Degrees of Freedom
Mathematics
1 answer:
iren [92.7K]3 years ago
7 0

Answer:

Part (A) The Error Degrees of Freedom for this example is 154.

Part (B) The Error Degrees of Freedom for this example is 152.

Step-by-step explanation:

Consider the provided information.

The categorical variable has 4 levels.

It is given that 160 observations are used to estimate a model with 2 numerical explanatory variables both with a linear relationship to the response and 1 categorical explanatory variable.

Thus, the total number of coefficients(p) = 2+(4-1)=5

It is given that Error Degrees of Freedom are calculated as n - p - 1

Substitute n = 160 and p=5  in above formula.

df=160-5-1=154

Hence, the Error Degrees of Freedom for this example is 154.

Part B: Categorical variable with 3 levels and another categorical variable with 4 levels. Also a model with 2 numerical explanatory variables both with a linear relationship to the response.

Thus, the total number of coefficients(p) = 2+(3-1)+(4-1)=7

It is given that Error Degrees of Freedom are calculated as n - p - 1

Substitute n = 160 and p=5  in above formula.

df=160-7-1=152

Hence, the Error Degrees of Freedom for this example is 152.

You might be interested in
Write an exponential function in the form y=ab^x that goes through the point (0,17) and (6,1088)
alexandr402 [8]

Answer:

y = 17(2)^x

Step-by-step explanation:

If the graph of y = ab^x goes through (0, 17), then

                        17 = ab*0, or a = 17

Then the function is y = ab^x with a = 17, or

                                  y = 17*b^x and we must find b.

If the graph of y = 17*b^x also goes through (6, 1088), then the following must be true:   1088 = 17*b^6

which reduces to 64 = b^6

Taking the sixth root of both sides, we get 64^(1/6) = b, and so b = 2

Then the desired exponential function is

y = 17(2)^x

6 0
3 years ago
A rectangular solid and a cube are of equal volume. If the rectangular solid is 20 centimeters long, 5 centimeters wide, and 10
abruzzese [7]

Answer:

10 centimeters.

Step-by-step explanation:

First, we need to remember what's the formula to get the volume of a rectangular solid and a cube.

The volume of the first equals:

Volume = Length x Width x Height

While the volume of the cube is:

Volume = a^{3} where a is the edge.

We are given the measures of the rectangular solid so we can calculate its volume:

Volume= (20)(5)(10)=1000 cubic cms.

Now, we know that  both the volume of the rectangular solid and the cube are the same so we will use this information to calculate the edge of the cube.

1000=a^3 \\\sqrt[3]{1000} =\sqrt[3]{a^3} \\10=a

Thus the length of an edge of the cube is 10 centimeters

5 0
3 years ago
9.<br> The cost of 20 litres of petrol is £18<br> Work out the cost of 1 litre of petrol.
yulyashka [42]

Answer:

20 x 1 / 18= 1.11

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
(29 PTS) Explain how the Quotient of Powers Property was used to simplify this expression. 3^4/9 = 3^2
Virty [35]

Step-by-step explanation:

d is the correct ans

see,

As the bases are equal we can cut the bas,

6 0
3 years ago
Read 2 more answers
Please provide the answer and an explanation why that is the answer.
natita [175]

Hello!

To find the slope of the given equation, we would need to convert this equation from standard form into slope-intercept form. Our goal, is to get the variable y, on one side of the equation.

Remember that slope-intercept form is written as y = mx + b. In this form, m is the slope and b is the y-intercept.

2x + 4y = 12 (subtract 2x from both sides)

4y = 12 - 2x (divide both sides by 4)

y = 12/4 - 2/4x → y = -1/2x + 3

Therefore, the slope of this equation is -1/2, which is the final choice listed.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Gordon types 43 3/4 pages in 3 1/2 hours. What is his rate in pages per hour
    10·1 answer
  • 0.0013 in scientific notation
    13·2 answers
  • 0.4x - 5 = 0.08 + 3 plz
    14·1 answer
  • [20 POINTS]<br><br> Which of the following are irrational?
    9·1 answer
  • What would the answer for this question be
    9·1 answer
  • A particle begins at point (1, 2) and is moving along the line segment joining (1, 2) to (3, 4). Initially, what is the rate of
    5·1 answer
  • 6 fl oz= how many cups
    5·2 answers
  • Two cards are drawn in succession from a standard 52-card deck.1. What is the probability that the first card is red and the sec
    13·1 answer
  • (Coordinate Plane) Square PQRS has vertices at P(-2, 4), Q(-2, -1), R(3, -1), and S(3, 4).
    5·2 answers
  • Median of 14, 18, 16, 122, 22, 19, 12
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!