In a study relating college grade point average to time spent in various activities, you distribute a survey to several students. The students are asked how many hours they spend each week in four activities: studying, sleeping, working, and leisure. Any activity is put into one of the four categories, so that for each student the sum of hours in the four activities must be 168. a) Consider the model GPA = β0 + β1study + β2work + β3leisure + β4sleep + u. Interpret the coefficient β1. Does it make sense to hold work, leisure, and sleep fixed, while changing study? b) Explain why this model violates Assumption MLR.3. c) How could you reformulate the model so that its parameters have a useful interpretation and it satisfies Assumption MLR.3?

Answers

Answer 1

Step-by-step explanation:

Given

GPA = NO + B1Study + B2work + B3leisure + B4sleep + u

1. No it makes no sense. There is an intercorellation between these explanatory variables. Changing study while holding the rest variables constant or fixed would not make sense. If study us changed then one or more of the other predictors should be changed so that they can still be equal to 168

2. Study is a perfect linear function of work, leisure and sleep. There is the problem of multicollinearity among these independent variables. One assumption of the MLR is no multicollinearity.

3. To reformulate model, you have to drop the variable that is having the issue. Let's say that leisure is dropped from the model. After this the assumption is satisfied.

GPA = b0 + B1Study + b2sleep + b3work + u


Related Questions

A board is 6 feet 11 inches long. How long is it in inches

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Answer:

83 inches

Step-by-step explanation:

it would b 83 inches.

What is the perimeter of the figure?
5 cm
4 cm
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it would be 22cm because 5+4+4+4+5=22

Plzz help meee! I am timed

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Answer:

The Answer Is 8 five dollar bills

Step-by-step explanation:

First you Multiply 5 by 8 Then divide the answer by 5

In a lab experiment, 130 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 8 hours. How many bacteria
would there be after 21 hours, to the nearest whole number?

Answers

Answer:

y = 802

Step-by-step explanation:

173 The midpoint between x and a is m. What is x ?

Answers

If so, [tex]m=\frac{x+a}{2}[/tex] when solved for x will yield [tex]x=2m-a[/tex].

Hope this helps.

What is the mean, median and mode of the data below. (List in that order: mean, median, mode) 18, 24, 20, 18, 21

Answers

Answer:

Mean: [tex]20.2[/tex], Median: [tex]20[/tex], Mode: [tex]18[/tex]

Step-by-step explanation:

The mean or average of a data set is calculating by dividing the sum of the data values by the number of the data values. In this case, the sum of the data values is [tex]18+24+20+18+21=101[/tex] and the number of data values is [tex]5[/tex], so the mean is [tex]\frac{101}{5}=20.2[/tex].

The median of a data set is the middle value when the data is ordered in ascending order, meaning least to greatest. Right now, the data is not in ascending order, but after ordering it, we get [tex]18,18,20,21,24[/tex]. Since there are [tex]5[/tex] data values in this set, the middle value, or median, will be the [tex]3[/tex]rd value, which, in this case, is [tex]20[/tex].

Finally, the mode of a data set is the most frequent value, or the value that shows up the most. In this case, [tex]18[/tex] shows up twice, unlike the other numbers, which only show up once, so we know that the mode is [tex]18[/tex]. Hope this helps!

A system of equations is shown below.
X + 7y = 23
3x + 14y = 48
What is the value of x + y in the solution to the system?

Answers

Answer:

A

Step-by-step explanation:

The value of x + y for the given system of equations is found to be as 5.

What is a system of linear equations?

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given equations are as follows,

x + 7y = 23                      (1)

3x + 14y = 48                  (2)

Solve the equations by substituting the value of x from equation (1) into (2) as follows,

3x + 14y = 48

=> 3(23 - 7y) + 14y = 48

=> -21y + 14y = 48 - 69

=> -7y = -21

=> y = 3

Then, x = 23 - 7y = 23 - 7 × 3 = 2

Thus, the value of x + y is given as 3 + 2 = 5.

Hence, the value of the required expression is given as 5.

To know more about system of equations click on,

brainly.com/question/24065247

#SPJ5

Find only perimeter of shape length 574.0 cm and width 487.7cm

Answers

Answer:

What is the shape pf the figure?

help me with this please!!! :)

Answers

Answer:

C. 4x-4

Step-by-step explanation:

If you divide by 4 on the left side you get...

16x/4 - 16/4

4x - 4

We are dividing by 4 because it was factored out of the expression.

I think the answer is nine but I’m not sure how to explain how I got my answer

Answers

Answer:

ur answer is right it is 9

Step-by-step explanation:

NOTE: divide the number 36 with 4 and u will get 9

GOOD JOB

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

Math. Find Mid point and fx​

Answers

Answer: Option B.

Step-by-step explanation:

When we have an interval with lower bound m and upper bound M, such that:

m ≤ x ≤ M

The mid-point is:

(m + M)/2

in this case, we have:

m = 22

M = 27

then the mid-point is:

(22 + 27)/2 = 24.5

and we know that f = 7, then:

f*x = f times the mid-point = 7*24.5 = 171.5

The correct option is B.

True or False.
The expressions 3 + y and 1/3 (6 + y) are equivalent?

Answers

Answer:

false

Step-by-step explanation:

consider y = 3

its 6 for one and 3 for the other

Find the area of the figure. Use 3.14 for A. N 8 m 12 m

Answers

Answer: 105m²

Formula for Area of Circle: A = π r²

so, A = 3.14 (6)² (I got 6 because radius is half the diameter)

Don't forget to divide the final area of the circle in half, because It's only a semicircle.

Formula for Triangle: A = [tex]\frac{bh}{2\\}[/tex]

so, A = [tex]\frac{6(8)}{2}[/tex] (again, the "6" is just the diameter divided in half which forms the base of ONE triangle.)

You need to multiply the final area of the triangle by 2 since there are 2 triangles.

Step-by-step explanation:

Cos Milky said it. Trust Milky. Milky smart.

Answer:

deez nù Tx. . .

Step-by-step explanation:

source:trust me bro

Find the area of each figure. Use 3.14 for pie.

Answers

Answer:

sorry

Step-by-step explanation:

i think hope this helps

The time in rio is 3 hours behind london
The time in new york is 5 hours behind london
what is the time in rio when it is 11pm in new york

Answers

If it’s 11pm in NY then it’s 4am in London... therefore it’s 1am in Rio.

Find sec x if sin x = -7/25 and cot x = -24/7.
Show work. Thanks.

Answers

Answer:

[tex]sec\ x = \frac{25}{24}[/tex]

Step-by-step explanation:

Given

[tex]sin\ x = -\frac{7}{25}[/tex]

[tex]cot\ x = -\frac{24}{7}[/tex]

Required

Determine sec x

Sec x is calculated as:

[tex]sec\ x = \frac{1}{cos\ x}[/tex]

Multiply by sin x/sin x

[tex]sec\ x = \frac{1}{cos\ x} * \frac{sin\ x}{sin\ x}[/tex]

[tex]sec\ x = \frac{1}{sin\ x} * \frac{sin\ x}{cos\ x}[/tex]

[tex]sec\ x = \frac{1}{sin\ x} * \tan\ x[/tex]

[tex]tan\ x = \frac{1}{cot\ x}[/tex]

[tex]sec\ x = \frac{1}{sin\ x} * \frac{1}{cot\ x}[/tex]

The equation becomes:

[tex]sec\ x = \frac{1}{-7/25} * \frac{1}{-24/7}[/tex]

[tex]sec\ x = \frac{-25}{7} * \frac{-7}{24}[/tex]

[tex]sec\ x = \frac{25}{24}[/tex]

i’m stuck on this question

Answers

Answer: I have a feeling the answer is “slope=5/8”

I think this is the answer because the rise is 5 and the run is 8. Let’s hope this is the answer!

A person invests 7000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14700 dollars?

Answers

Answer:

18.6

Step-by-step explanation:

Answer:

18.6

Step-by-step explanation:

trust me brotha plz give me like

Write an equation parallel to x
– 3y = 9 that passes through the point (3,-1).

Answers

Step-by-step explanation:

x-3y=9

x=9+3y

x=12y

xy=12

Consider the equation y = 4x - 10. Find y if x = 3.

Answers

Answer:

y = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

y = 4x - 10

x = 3

Step 2: Evaluate

Substitute in x:                                                                                                y = 4(3) - 10Multiply:                                                                                                           y = 12 - 10Subtract:                                                                                                          y = 2

Answer:

The simplified system is the arbitrary solution of the original system of equations

Step-by-step explanation:

Y=2 and x=3

Correct me if I’m wrong.

Hope this helps

Find the solution to 2/3x = -24

Answers

Answer:

x=-36

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x=20

Step-by-step explanation:

Since the sides are congruent that means the angles are congruent

When they are congruent you can equal them to each other

9x + 80 = 7x + 120

2x= 40

x=20

please help me im literally crying help if I fail i give up i can't.​

Answers

Answer:

52 m²

Step-by-step explanation:

12x3 = 36

2 x (11-3) = 2x8 = 16

36+16 = 52

Step-by-step explanation:

12 x 10 x 3 = 360

8 x 11 x 2 = 176

once you get the final amounts you add them to gather which is 536.

Hope This Helped You :)

he FDAL level for insect filth in chocolate is 0.6 insect fragments (larvae, eggs, body parts, and so on) per grams. Suppose that there is an average of 0.57 insect fragments per gram of chocolate bar and the distribution is following a Poisson distribution. Compute the probabilities that the number of insect fragments in a 50-gram sample of chocolate bar are:

Answers

Answer:

Step-by-step explanation:

[tex]\text{To find :} \\ \\ 1.) \ \ \text{More than 20} \\ \\ 2) \text{Less than 30 } \\ \\ 3) \ \text{Within the range of }( \mu - \sigma , \mu +\sigma)[/tex]

[tex]\ \ \ Since \ \ X \ \text{follows a poisson distribution and;} \\ \\ X\sim Poisson (0.57) per \ gram \\ \\ X \sim Poisson (28.5) \ per \ 50 \ grams \\ \\[/tex]

[tex]1) \ \ \ \text{The probability } P(X>20) = \sum \limits ^{50}_{x=21} \dfrac{e^{-28.5}\times 28.5^x}{x!} \\ \\ \mathbf{ = 0.9389}[/tex]

[tex]2) P( X<30) = \sum \limits ^{29}_{x=0} \dfrac{e^{-28.5}\times 28.5^x}{x!} \\ \\ \mathbf{=0.5861}[/tex]

[tex]\text{3) Since then mean}\ \mu = 28.5 \\ \\ \sigma =\sqrt{28.5} = 5.339 \\ \\ \mu - \sigma = 28.5 -5.339= 23.161 \\ \\ \mu + \sigma = 28.5 + 5.339 = 33.839[/tex]

[tex]P(23.161 < X< 33.839) = \sum \limits ^{33}_{24} \dfrac{e^{-28.5}\times 28.5^x}{x! } \\ \\ = P(X\le 33) - P( X \le 23) \\ \\ = 0.82678 - 0.1750 \\ \\ \mathbf{= 0.6516}[/tex]

About 25% of the students at a college are freshmen. Of those, about 50% are women. Does that mean that 75% of the students at the college are freshmen women? Explain

Answers

No. 50% of 25% would be 12.5%, which is no where close to 75%.

Tell whether – 7 is a solution of y + 14 > 2.

Answers

Answer:

y>-12

Step-by-step explanation:

y+14>2

y+14-14>2-14

y>-12

The Venn diagram shows the relationships among different sets of numbers.


Which number would be located in the shaded part of the diagram?

-1.7

-8

2/3

10​

Answers

-1.7 would be in the shaded part

A 6 foot wide painting should be centered on a 10 foot wide wall. How many
feet (x) should be on each side of the painting?
EX:X + 1
= 10
th

Answers

Shouldn’t it be 60? Think about it, six times the foot wide in in the paining plus 10 times the foot width on the wall

HELP THIS IS DUE IN 10 MINUTES!!!!!! Which ratio defines te whenr represents radius, and d represents diameter?
22
d
27
d
2пт
Ο Ο.
2r
d

Answers

Answer:

2πr/d

Step-by-step explanation:

Circumference = 2πr

Pi = circumference/diameter

=2πr/d

can anyone help me with 5 and 7 ​

Answers

Answer:

4) add 5x and 9x

 answer:   14x - 30

7) subtract 28 from 15

answer: x - 13

Step-by-step explanation:  sorry if it is wrong I try my best

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