(7 points) Briefly explain what perfect multicollinearity is and how it relates to what is often called the "dummy variable trap". This is where if you have multiple binary regressors (variables that are either 0 or 1) to represent a series of groups, you have to leave the variable that represents one of the groups out of the regression.

Answer:

  102,232​ = 2·2·2·13·983

Step-by-step explanation:

  102,232​ ends in 32, so is divisible by 4

  102,232/4 = 25558 ends in 2, so is divisible by 2

  25558/2 = 12779

     is not even, so is not divisible by 2

     has a sum of digits mod 9 of 8, so is not divisible by 3 or 9

     does not end in 0 or 5, so is not divisible by 5

     gives the result 1277-2·9 = 1259; 125-2·9 = 107; 10-2·7 = -4, which is not zero, so 12779 is not divisible by 7

     gives the result (1+7+9)-(2+7) = 8, which is not divisible by 11, so 12779 is not divisible by 11

     gives the result 1277 +4·9 = 1313, which is divisible by 13, so 12779 is divisible by 13

  12779/13 = 983 needs to be tested for divisibility by primes between 17 and 31, namely 17, 19, 23, 29, 31. It is not divisible by any of these, so this is the last prime factor of 102,232:

  102,323 = 2·2·2·13·983

_____

Divisibility rules:

Note that for any transformation rule, the rule can be repeated on the reduced result. The digits of a sum of digits can be summed, for example.

  2: ends in even digit

  3: sum of digits is divisible by 3

  5: ends in 0 or 5

  7: subtracting 2 times the last digit from the rest is divisible by 7

  11: difference of sums of alternate digits is divisible by 11

  13: there are several rules. A couple of useful ones are

  17: subtracting 5 times the last digit from the rest is divisible by 17

  19: the sum of 4 times the last 2 digits and the remaining number will be divisible by 19

  23: the sum of 3 times the last 2 digits and the remaining number will be divisible by 23

  29: the sum of 9 times the last 2 digits and the remaining number will be divisible by 29

  31: subtracting 3 times the last digit from the rest is divisible by 31

Answer:

c

Step-by-step explanation:

Answer:

it's D

Step-by-step explanation:

The number never goes over 0 so there is no need to put anything above 0

Answer:

69

Step-by-step explanation:

Answer:

The calculated value Z = 1.8368 < 1.96 at 0.05 level of significance

The null hypothesis is accepted

The samples have been drawn from the same Population

Step-by-step explanation:

Step(i):-

Given first sample size 'n₁' = 49

Mean of the first sample 'x₁⁻ = 609.86

Standard deviation of the sample S₁ = 55.96 calories

Given first sample size 'n₂' = 78

Mean of the first sample 'x₂⁻ = 641.02

Standard deviation of the sample S₂ = 109.14 calories

Step(ii):-

Null hypothesis : H₀: x₁⁻ = x₂⁻

Alternative Hypothesis : H₁: x₁⁻ ≠ x₂⁻

Level of significance ∝ = 0.05

Test statistic

[tex]Z = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S.D^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} } }[/tex]

where

 [tex]S.D^{2} = \frac{n_{1} S^2_{1}+ n_{2} S^2_{2} }{n_{1} + n_{2} -2}[/tex]

 [tex]= \frac{49 X (55.96)^2+ 78X(109.14)^2 }{49 + 78 }[/tex]

 σ² =  8660.357

Step(iii):-

Test statistic

[tex]Z = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S.D^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} } }[/tex]

[tex]= \frac{ 609.86-641.02 }{\sqrt{8660.357(\frac{1}{49 } }+\frac{1}{78 } ) }[/tex]

[tex]Z = \frac{-31.16}{16.9638} = -1.8368[/tex]

|Z| = |-1.8368| = 1.8368

The tabulated value Z₀.₉₅ = 1.96

The calculated value = 1.8368 < 1.96 at 0.05 level of significance

The null hypothesis is accepted

Final answer:-

The samples have been drawn from the same Population

Answer:

2.3 units

Step-by-step explanation:

Answer:214

Step-by-step explanation:

428 divided by 2. Half of the pages are even, half of 428 is 214

Answer:

214

Step-by-step explanation:

just divide the number of pages with 2

Answer:

a) 4 hours

b) 11 am

Step-by-step explanation:

So say the number of hours is x

a) 72 + 6x = 96

6x = 24

x = 4

b) 7am + 4 hours = 11am

Answer:

1. Gather 45 tiles

2. Split them up into groups of 15. Your answer will be the amount of piles you  end up with. Hope this helps!

Answer:

(z-6)(z+3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

z^2-6z + 3z -18

z(z-6)+3(z-6)

(z+3)(z-6)

Answer:

10000000000000

Step-by-step explanation:

I do not know how to explain

Answer:

English Plz

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pi is the ratio of a circle's circumference to its diameter.

_____

We suspect you have answer choices for filling in these blanks. Besides the words shown above, there are other ways they can be filled:

  Pi is the ratio of a circle's area to its radius squared.

  Pi is the measure of a circle's central angle to its diameter endpoints.

Answer:

  1024 pi

Step-by-step explanation:

The area formula is ...

  A = πr^2

So, the radius is ...

  r = √(A/π)

For the given area, the radius of the cylinder is ...

  r = √(64π/π) = 8 . . . . cm

The height is said to be twice this value, so is 16 cm.

__

The volume of the cylinder is found from ...

  V = Bh

where B is the base area and h is the height. Our cylinder has a volume of ...

  V = (64π cm^2)(16 cm) = 1024π cm^3

Answer:

Step-by-step explanation:

a) The daily multiplier is 108/96 = 1.125

b) The daily percentage change is 1.125 -1 = .125 = 12.5%

c) The function can be written as ...

  price = (initial value)·(daily multiplier)^t

  p = 108·1.125^t

d) for t=7, put the number in and do the arithmetic.

  108·1.125^7 ≈ 246.32 . . . dollar cost in a week

e) same deal, for t=-3

  108·1.125^-3 ≈ 75.85 . . . .dollar cost 3 days ago

Answer:

  36.644 mL . . . . depending on your value of π (see below)

Step-by-step explanation:

The height of Micah's cup is found from the radius and slant height. The radius is half the diameter, so is 36 mm. Then the height h is ...

  45² = 36² +h²

  h = √(45² -36²) = 27 . . . . . mm

The volume is given by the formula ...

  V = (1/3)πr²h

  V = (1/3)π(36 mm)²(27 mm) = 11664π mm³

For π = 3.14

  11664(3.14) mm³ ≈ 36,625 mm³ = 36.625 mL

For π = 3.14159265

  11665π mm³ = 36,644 mm³ = 36.644 mL

_____

Comment on units

A unit of measure used for relatively small volumes, especially of liquid, is milliliters (mL). 1 mL = 1000 mm³.

Answer:

The answer is 11664pimm^3

Step-by-step explanation:

Answer:

(6,4)

Step-by-step explanation:

I just did quick math in my head.

Answer:3hk - 12.4h

Step-by-step explanation:

h(3k-12.4)

h x 3k - h x 12.4

3hk - 12.4h

example:

The value of x is 22

Step-by-step explanation:

We are given that there are two numbers

First number is x

second number is 35

The sum of x and 35 is 57

so, we get equation as

now, we can solve solve x

So, subtract both sides by 35

Answer:no, (5,1) is not a solution for the equation. (1/7,1) will be a solution for the equation.

Step-by-step explanation:

one way to do it is to plug 1 as the y-value into the first equation which does work but when you plug 5 as the x-value and 1 as the y-value in the second equation, it will get you to 41 which does not match so it will not be an equation. the other way to check is to solve by substitution which for the first equation, you divide both side by -5 and get y=1 then substitute y with 1 in the second equation and subtract both side by 6 and get 7x=1 and divide both side by 7 to get 1/7. the y-value match but the x-value don't so (5,1) is not a solution.

Answer:

60

Step-by-step explanation:

Answer:

it is 60

Step-by-step explanation:

Answer:

9π or 28.27 cm

Step-by-step explanation:

The circumference formula is 2πr or dπ. The diameter is 9 cm so we multiply 9 with pi to get the answer.

The value of the circumference of the given circle is 9π cm OR 28.278 cm

From the question, we are to determine the circumference of the circle.

The circumference of a circle can be calculated by using the formula,

C = πd

Where C is the circumference of the circle

and d is the diameter

From the diagram,

d = 9 cm

Therefore,

Circumference of the circle = π × 9

Take π = 3.142

Then,

Circumference of the circle = 28.278 cm

Hence, the value of the circumference of the given circle is 9π cm OR 28.278 cm

Learn more on Calculating circumference of a circle here: https://brainly.com/question/12823137

Answer:

C

Step-by-step explanation:

HJN IS SIMILAR TO PQN

Answer:

402m

Step-by-step explanation:

Set this up as a triangle and use trig to solve it:

tan(45) = y/402

y = 402*tan(45)

substitute: tan(45) = 1

y = 402 * 1

y = 402m

Answer:

a = ln (2b)

Step-by-step explanation:

2e^a =4b

Divide each side by 2

2/2 e^a =4/2b

e^a = 2b

Take the natural log of each side

ln(e^a) = ln(2b)

a = ln (2b)

Answer:

Probability of no black bead is adjacent to the yellow bead is = 0.966

Step-by-step explanation:

First to arrange all the beads without restrictions = 6! = 720

Probability the black bead is adjacent to Yellow bead = 4!/6! = 24 /720

= 0.0333

Probability of no black bead is adjacent to the yellow bead is

= 1- Probability the black bead is adjacent to Yellow bead

= 1-0.033

= 0.966

Answer:

<

Step-by-step explanation:

22/20=1.1

38/30=1.27

Answer:

<

Step-by-step explanation:

Answer:

160 degrees

Step-by-step explanation:

Answer:I think it is D

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

1 of the 6 possible rolls is a 4, meaning there is a 1/6 probability of rolling 4.

13 of the 52 cards are hearts, meaning that there is a  1/4 probability of drawing a heart.

1/6 * 1/4 = 1/24

Answer:

the answer is d

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation: