Which of the following statements are true in describing the Bonferroni method of testing hypotheses on multiple coefficients? (Check all that apply.) A. It modifies the "one-at-a-time" method by using the F-statistic to test joint hypotheses. B. It modifies the "one-at-a-time" method so that it uses different critical values that ensure that its size equals its significance level. C. Its advantage is that it can have a very high power and is used especially when the regressors are highly correlated. D. Its advantage is that it applies very generally. Suppose a researcher studying the factors affecting the monthly rent of a one-bedroom apartment (measured in dollars) estimates the following regression using data collected from 130 houses: Rent = 455.56 – 1.45 Location + 2.12 Neighborhood - 1.14 Crime, where Location denotes the distance of the apartment from downtown (measured in miles), Neighborhood denotes the average monthly income of the people living in the neighborhood of the apartment, and Crime denotes the crime rate within the 5 km radius of the apartment. The researcher wants to test the hypothesis that the coefficient on Location, B, and the coefficient on Neighborhood, B2 are jointly zero, against the hypothesis that at least one of these coefficients is nonzero. The test statistics for testing the null hypotheses that B1 = 0 and B2 = 0 are calculated to be 1.56 and 2.05, respectively. Suppose that these test statistics are uncorrelated. The F-statistic associated with the above test will be (Round your answer to two decimal places.) At the 5% significance level, we will the null hypothesis.

Answers

Answer 1

B. It modifies the "one-at-a-time" method so that it uses different critical values that ensure that its size equals its significance level.

C. Its advantage is that it can have very high power and is used especially when the regressors are highly correlated.

The Bonferroni method of testing hypotheses on multiple coefficients involves modifying the "one-at-a-time" method by using different critical values that ensure that its size equals its significance level.

It is an adjustment that is used to correct the issue of multiple comparisons by controlling the family-wise error rate (FWER) or the probability of making at least one false rejection of the null hypothesis.

Therefore, option B is correct, and options A and D are incorrect. Option C is correct, as the Bonferroni method can have very high power and is used especially when the regressors are highly correlated. The high power comes from the method's ability to use all the available information. Hence, the answer is B and C.

In order to determine the F-statistic associated with the test of the null hypothesis that the coefficients on Location and Neighborhood are jointly zero, we need to use the two calculated test statistics and their degrees of freedom as follows:

F = [(1.56/130) + (2.05/130)] / [(1/130) + (1/130)]

F = 0.0292308 / 0.0153846

F = 1.9 (rounded to one decimal place).

To test the null hypothesis at the 5% significance level, we compare this F-statistic to the critical value of the F-distribution with degrees of freedom (1, 128) and (2, 127) for numerator and denominator degrees of freedom. The critical values for the 5% level of significance are F(1, 128) = 4.04 and F(2, 127) = 3.23. Since 1.9 < 3.23, we fail to reject the null hypothesis.

Therefore, at the 5% significance level, we do not reject the null hypothesis that the coefficients on Location and Neighborhood are jointly zero.

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Related Questions

Select the 2 moves necessary in the sequence of transformations that produced polygon A from polygon E. *

Answers

There is no image or directions to base this off of

Porter read 20% of the Star Wars book. He read 8 pages of the book. Write the number of pages in the Star Wars book

Answers

Answer: 40 pages in total

Explanation: Porter has read 20% of the book and this translates to 8 pages of the book.

20% = 8 pages

Assume the total number of pages is x:

20% * x = 8

0.2x = 8

x = 8 / 0.2

x = 40 pages in total

Answer:

40 pages in the book

Step-by-step explanation:

8/40 = .20

What is the probability that either event will occur?
5
A
B
35 5, 10
P(A or B)=P(A) + P(B) - P(A and B)
P(A or B) = [?]
Enter as a decimal rounded to the nearest hundredth.

Answers

Answer:

P(A or B) = 1 - P(neither A nor B)

= 1 - 5/55 = 1 - 1/11 = 10/11

= about .91 = about 90.91%

Answer:

Step-by-step explanation:

please help me with this one

Answers

Answer:

A: 112 cubic inches

Step-by-step explanation:

A = l*w*h/3 = (6*8*7)/3

A = 336/3

PLEASE HELP due in a few hours!!

Answers

Answer:

75 meters²

Step-by-step explanation:

4 cm= 5 m

12 cm= 15 m

15×5=75

Area of Patio=75 m²

The average final exam score for the statistics course is 77% and the standard deviation is 8%. A professor wants to see if the average exam score will be higher for students who are given colored pens on the first day of class. The final exam scores for the 17 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78 What can be concluded at the 0.05 level of significance

Answers

Answer:

There is not enough evidence to support the claim that average score for those given colored pen is greater than 77

Step-by-step explanation:

Given the data : 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78

Using calculator :

Sample mean, xbar = 79.06

Sample standard deviation = 9.85

Sample size, n = 17

H0 : μ = 77

H1 : μ > 77

The test statistic : (xbar - μ) ÷ (s / sqrt(n))

(79.06 - 77) ÷ (9.85 / sqrt(17))

2.06 ÷ (9.85 / sqrt(17))

= 0.8623

The Pvalue from Tscore :

Pvalue = 0.20063

Since pvaue is > α ; we fail to reject the null ` There is not enough evidence to support the claim that average score for those given colored pen is greater than 77

Help please fast and don’t say files

Answers

Answer: H.

Explanation: Graph H is the only graph with the line point to less than or equal to -5

Which value of t makes the two matrices inverses of each other?

Answers

Answer:

C) 2

Step-by-step explanation:

I got it right on Edge 2021

The reason is that you can see that on the first matrix a and d are the same number, meaning that a and d on the second matrix need to be the same as well.  Brainliest please :)

Ignore grammar and spelling mistakes

Answer: 2

Step-by-step explanation:

PLEASE HELP! I need this asap

Answers

Answer:

5.17

Step-by-step explanation:

just at 10 pecent

Answer:

I think that the third one is the correct answer , $4.94 i mean .

does anybody know the answer?

Answers

Answer:

y+48=90

y= 90-48

y= 42

Step-by-step explanation:

ok

by using the property

sum of two opposite interior angles of triangle is equal to exterior angle

PLEASE HELPP !!! it’s due today

Answers

Answer:

18

Step-by-step explanation:

Nelson LLC, has earnings before interest and taxes of €10,350 and net income of €2,528.50. The tax rate is 25%. What is the interest coverage ratio (times interest earned)?
A) 0.62
B) 0.96
C) 1.04
D) 1.48

Answers

The interest coverage ratio (times interest earned) for Nelson LLC is approximately 1.04, option C.

The interest coverage ratio is calculated by dividing earnings before interest and taxes (EBIT) by the interest expense. EBIT represents the operating income of the company before deducting interest and taxes.

Given the values:

EBIT = €10,350

Net Income = €2,528.50

Tax Rate = 25%

To calculate the interest expense, we subtract the net income from the EBIT and multiply it by (1 - tax rate):

Interest Expense = (EBIT - Net Income) × (1 - Tax Rate)

= (€10,350 - €2,528.50) × (1 - 0.25)

= €7,821.50 × 0.75

= €5,866.12

Now, we can calculate the interest coverage ratio by dividing EBIT by the interest expense:

Interest Coverage Ratio = EBIT / Interest Expense

= €10,350 / €5,866.12

≈ 1.04

Therefore, the interest coverage ratio for Nelson LLC is approximately 1.04, indicating that the company's earnings before interest and taxes are 1.04 times greater than its interest expense.

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PLEASE HELP URGENT!! DONT LINK FILES!!! HELP!!



The face of triangular-shaped guitar has an area of 52 square inches and the height of 13 inches. What is the length
of the guitar?

Answers

Answer:

Base = 8

Step-by-step explanation:

Area of a triangle can be calculated as:

Area = 0.5 x Base x Height

The values of the area and the height are given in order to find the length.

A= 52 in^2

Height= 13

First we have to find the base or the length. Using the values above we can set up the equation as:

1. 52= (0.5)(13)(b)

2. 52/0.5(13)

3. b=8

Answer: The length of the guitar or the base would be 8 inches.

I hope this helps and for future problems regarding this topic use the formula above!!

Formula: 0.5 x Base x Height

HELP LeShana loaned Deena $480. Deena paid the money back with a simple interest of 5% at the end of 2 years. How much money did Deena pay back?

Answers

Answer:

FV= $528

Step-by-step explanation:

Giving the following information:

Loan (P)= $480

Number of years (n)= 2 years

Simple interest (i)= 5% per year

To calculate the amount of money that Deena paid is calculated using the following formula:

FV= P*r*t + P

FV= 480*0.05*2 + 480

FV= $528

Q6 What is the greatest number of parts of a circle What's the greatest number that can be formed by cutting the circle with 7 straight cuts? (NOTE: the parts do NOT have to be equal in size)
A) 14
B) 21
D) 29
C) 27

Answers

29
I know because I did it

(t+8)^3
i want you to solve this

Answers

[tex]( {t + 8})^{3} = {t}^{3} + 3 \times ({t})^{2} \times( 8) + 3 \times (t) \times ( {8})^{2} + {8}^{3} \\ [/tex]

So :

[tex] ({t + 8})^{3} = {t}^{3} + 24 {t}^{2} + 192t + 512[/tex]

A storage chest is shown. What is the volume in cubic feet?

Answers

Volume/V=length x width x height
So, V=4.5 x 2 x 2
V =18

Find the largest possible constant r ∈ (0, 1) such that the function f : [0, r] → [0, r] defined by f(x) = x^2 is a (strict) contraction.

Answers

The largest possible constant r ∈ (0, 1) such that the function f : [0, r] → [0, r] defined by f(x) = x^2 is a strict contraction is r = 1/2.

To prove this, we need to show that there exists a positive constant k < 1 such that |f(x) - f(y)| ≤ k|x - y| for all x, y ∈ [0, r] with x ≠ y.

Let x, y ∈ [0, r] with x ≠ y. Then, we have:

|f(x) - f(y)| = |x^2 - y^2| = |(x - y)(x + y)| ≤ |x - y|(r + r) = 2r|x - y|

Therefore, if we choose k = 2r < 1, then |f(x) - f(y)| ≤ k|x - y| for all x, y ∈ [0, r] with x ≠ y.

Now, we need to find the largest possible constant r such that k < 1. We have k = 2r < 1, so r < 1/2.

Thus, the largest possible constant r ∈ (0, 1) such that f(x) = x^2 is a strict contraction is r = 1/2.

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Determine the approximate length of the segment AD *

Answers

Answer:

35/6

Step-by-step explanation:

The right angle triangle ABC which has another triangle BCD, the length of segment AD is,  9.73 cm

What is Pythagoras theorem?

It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).

Pythagoras theorem,

H² = A² + B²

Given that,

Two triangle,

ΔABC and ΔBCD

Side lengths are ,

AC =  19cm

BC  =  8cm

DC  =  11cm

AC² = AB² + BC²

19² = AB² + 8²

AB = 17.23

Another  ΔBCD

11² = DB² + 8²

DB = 7.5

The length of AD =  AB - DB

                             =  17.23 - 7.5

                             =   9.73

Hence, the length of the segment is 9.73 cm

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8[x-y] use x=5 and y=2

Answers

Answer:

24

Step-by-step explanation:

Plugin the value of x and y

8[x + y] = 8*[5 - 2]

            = 8 *3

            = 24

Answer:

24

Step-by-step explanation:

8(5-2)

5-2=3

8 times 3=24

plz can i get brainliest:)

Tong loaned Jody $50 for a month. He charged 5% simple interest for the month. How much did Jody have to pay Tong?

Answers

Answer:

$50(1.05) = $52.50

Jody had to pay $52.50 to Tong for the month.

Help please me thanks​

Answers

Answer: Option one a+12

Answer:

option 1:a+12

Step-by-step explanation:

add 12 to a


Please find the next fraction in this sequence. No files please

Answers

Make all the denominators 22
Then the sequence is:
11/22 , 10/22 , 9/22 , 8/22 , next is 7/22

What type of function will fit these data points?

Linear
Quadratic
Exponential
None of the above

Answers

Answer: quadratic

Step-by-step explanation:

I guess if you can search up a picture of each function, you will be able to understand it. A linear graph is linear (as its name suggests), as a result, it never "goes back" to the value that has showed up. For example, the linear function y=3x+2. If you plug in a random value of y (let's say 10), then solve for x, you will only get 1 value of x. The data table that you have indicates that the y value of 0 has appeared twice. Thus, the function cannot be linear. The same thing applies to an exponential function. A quadratic function, however, can have to x values that result in the same y value. For example, the function y = [tex]x^2[/tex]-1. When you set y equal to zero....

0 =  [tex]x^2[/tex]-1

0 = (x+1)(x-1)

x = -1 or 1.

Hope this helps :)

A college surveys local businesses about the importance of students as customers. The college chooses 150 businesses at
random from telephone listings. Of these, 68 return the questionnaire. The population being studied is:

A. The set of all local businesses

B. The 68 businesses who returned surveys

C. The 150 businesses who were sent surveys

D. All the students at the college

Answers

The proportion of businesses who did not respond = 54.67%

Given : Total businesses = 150

Businesses responded = 68

Businesses did not respond =  150- 68 = 82

The proportion of businesses who did not respond =

82/150 x 100

54.67%

A board game has a spinner divided into sections of equal size(10). Each section is labeled a number between 1-5. Which number is a reasonable estimate of the number of spins on a section labeled 5 over the course of 150 spins?
A(15)
B(25)
C(40)
D(60)

Answers

The answer is C. 40 or maybe d

Please help! I'm not sure how to do these.

Answers

Answer:

i dont know bro

Step-by-step explanation:

Given y[n] = 3" u[n] - 1.5 8[n-1] = A) B) C) What is Y[z]? Draw the graph 3u[n] and 1.58 [n-1]. Simplify y[n] by first solving Y[z]. Use inverse Z for simplification.

Answers

The Z-transform of the given sequence y[n] = 3u[n] - 1.5 8[n-1] is Y[z] = (3z)/(z-1) - (1.5z)/(z-1). To simplify y[n], we need to find the inverse Z-transform of Y[z].

The Z-transform is a useful tool for analyzing discrete-time signals and systems. In this case, we are given the sequence y[n] = 3u[n] - 1.5 8[n-1], where u[n] is the unit step function and 8[n-1] represents the delayed unit impulse function.

To find the Z-transform of y[n], we can use the linearity property of the Z-transform. Since the Z-transform of u[n] is 1/(1-z^(-1)), and the Z-transform of 8[n-1] is z^(-1), we can substitute these values into the expression for y[n] to obtain:

Y[z] = 3(1/(1-z^(-1))) - 1.5(z^(-1))/(1-z^(-1))

To simplify Y[z], we need to combine the terms with a common denominator. By finding a common denominator of (1-z^(-1)), we can rewrite Y[z] as:

Y[z] = (3z - 1.5)/(z-1)

Now, to obtain y[n], we need to find the inverse Z-transform of Y[z]. The inverse Z-transform can be computed using techniques such as partial fraction expansion or by referring to Z-transform tables.

The simplified expression for y[n] would be:

y[n] = 3δ[n] - 1.5δ[n-1]

where δ[n] represents the discrete-time unit impulse function. The graph of y[n] would have an impulse of magnitude 3 at n = 0 and an impulse of magnitude -1.5 at n = 1.

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From a horizontal distance of 80.0m the angle of elevation to the top of the flagpole is 18 degrees calculate the height of the flagpole





Answers

Answer:

The figure is omitted--please sketch it.

Set your calculator to Degree mode.

tan(18°) = h/80

h = 80tan(18°) = about 25.994 feet

The height of the flagpole is about 25.994 meters (about 26 meters).

$475 20 for 6 years at 6-% $787 for 3 years at 9% $131 70 for 6 yrs 8 months at 4-%. find the simple interest ​

Answers

The simple interest for each scenario is 1. $171, 2. $212.13, and 3. $35.15.

To calculate the simple interest for each scenario, we can use the formula: Interest = Principal × Rate × Time.

1. For $475 at 6% interest for 6 years:

Principal = $475, Rate = 6%, Time = 6 years.

Interest = 475 × 0.06 × 6 = $171.

2. For $787 at 9% interest for 3 years:

Principal = $787, Rate = 9%, Time = 3 years.

Interest = 787 × 0.09 × 3 = $212.13 (rounded to two decimal places).

3. For $131.70 at 4% interest for 6 years and 8 months (or 6.67 years):

Principal = $131.70, Rate = 4%, Time = 6.67 years.

Interest = 131.70 × 0.04 × 6.67 = $35.15 (rounded to two decimal places).

Therefore, the simple interest for each scenario is:

1. $171

2. $212.13

3. $35.15

What does "simple interest" mean?

Simple interest is a method for figuring out how much interest was paid on an amount of money during a specific time period at a specific rate. Simple interest has a fixed principle amount. Simple interest is a clear-cut and simple method for computing financial interest.

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The correct question would be as

Find the simple interest of each scenario:

1. Principal = $475, Rate = 6%, Time = 6 years.

2. Principal = $787, Rate = 9%, Time = 3 years

3. Principal = $131.70, Rate = 4%, Time = 6.67 years (6 years and 8 months)

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