Which of the following assumptions is not required for the Least Squares principle to produce the line of best fit:_______.
a. the error term (e) is a normally distributed random variable
b. R-square must be greater than 1.0
c. the variance of the error term is constant
d. all of the above are correct answers

Answers

Answer 1

Answer:

b. R-square must be greater than 1.0

Step-by-step explanation:

For a least square regression fit, Assumptions include : Absence of heteroscedasticity, which is the variation must not occur in the variance of the error term. That is the variance between error term and each observation is consistent.

Also, Lack of correlation between observations of the error term and also between independent variables and the error term. It is highly recommended that error term be randomized and normally distributed variable.

The value of R - squared being greater Than 1 is. not an assumption of the least square principle for fitting a regression line.


Related Questions

In which of the expressions below will x = 3? Select all that apply.
A) 5.5x=22
B) 19x−12x+6=27
C) 15x5=9
D) 18−(x+6)=10
E) 2x3+6=60

Answers

Answer: b

Step-by-step explanation: 19 x 3 = 57 & 12 x 3= 36 so subtract 57 and 36 that’s going to give you 21 & 21 plus 6 is 27

Answer:

Its B

Step-by-step explanation:

the area of a square whose sides have length x cm is increasing at the rate of 12cm²/s. how fast is the length of a side increasing when the area is 81cm²​

Answers

Answer:

0.67 cm/s

Step-by-step explanation:

The area of a square is given by :

[tex]A=x^2[/tex] ....(1)

Where

x is the side of a square

[tex]\dfrac{dA}{dt}=12\ cm^2/s[/tex]

Differentiating equation (1) wrt t.

[tex]\dfrac{dA}{dt}=2x\times \dfrac{dx}{dt}[/tex]

When A = 81cm²​, the side of the square, x = 9 cm

Put all the values,

[tex]12=2\times 9\times \dfrac{dx}{dt}\\\\\dfrac{dx}{dt}=\dfrac{2}{3}\\\\\dfrac{dx}{dt}=0.67\ cm/s[/tex]

So, the length of the side of a square is changing at the rate of 0.67 cm/s.

What is the measure of BPC?

Answers

Answer:

[tex]\angle BPC=100^{\circ}[/tex]

Step-by-step explanation:

Assuming P is the center of the circle:

The angle BPC encompasses arc BC. Notice angle CEB also encompasses this arc and the measure of angle CEB is given as [tex]50^{\circ}[/tex]. The measure of an angle with a point on the circle that encompasses an arc is equal to half of the measure of an angle with a point on the center of circle. Therefore, the measure of arc BPC is equal to [tex]2\cdot50^{\circ}=\boxed{100^{\circ}}[/tex]

GIVING BRAIN LIST
Hiroko wants to know how much money students in her school band typically spend on their instruments. She plans to survey a sample of the population. Will each approach result in a sample that is representative of the population? Explain Please! Thank You!
Answer the following 3 questions from a to c.
Thanks Again!

a. Surveying all of the flute players in the band
b. Surveying all band members whose first names start with J or M
c. Surveying two band members from each school in her city

Answers

Answer:

Option C would be better than the others.

Step-by-step explanation:

She wants to learn about band members from a sample of the population. Option a isn't enough because flute players aren't the only ones who should be surveyed, she needs to know about all band members. B isn't right, it isn't logical to just survey people with names starting with J or M. So, c would be just right since she's surveying 2 band members from each school so she would get information from a sample of the population and not just from her school.

What is the value of x in the circle to the right?

Answers

9514 1404 393

Answer:

  10 1/16 cm

Step-by-step explanation:

The Pythagorean theorem can be used.

  (8 +x)² = x² +15²

  64 +16x +x² = x² +225

  16x = 161

  x = 161/16 = 10 1/16 = 10.0625 . . . cm

Factor by grouping. 9c^3-12c^2+18c-24

Answers

Answer:

[tex]9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4][/tex]

Step-by-step explanation:

Given

[tex]9c^3 - 12c^2 - 18c - 24[/tex]

Required

Factor

Group into 2

[tex][9c^3 - 12c^2] - [18c + 24][/tex]

Factorize each group

[tex]3c^2[3c - 4] - 6[3c - 4][/tex]

Factor out 3c - 4

[tex][3c^2 - 6][3c - 4][/tex]

Hence:

[tex]9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4][/tex]

PLEASE HELP ASAPPPP!!!!!

Answers

Answer:

see below

Step-by-step explanation:  5 20 15 39

coin 2 possibilities    1/2

three coins    (1/2) × (1/2) × (1/2)    =    _________     or (1/2)³

I am a 3-digit number divisible by 7, but not 2. The sum of my digits is 4. Hint it is not 121

Answers

Answer:

301

Step-by-step explanation:

3 + 0 + 1 = 4

301 / 7 = 43

301 / 2 = 105.5

Answer:

301

Step-by-step explanation:

301 divided by 7 = 43

301 is not divisible by 2

3 + 1 + 0 = 4

Hope this helps :)

Pleaseeee helpppp meee

Answers

Answer:

try searching it

Step-by-step explanation:

Answer: 14:16 describes Rita’s class in terms of number of girls to number of boys.

14:30 describes her class in terms of number of girls to total number of students

10.
AABC is dilated by a scale factor of with the origin as the center
of dilation. Given A(-6, 4), B(0, -4), and C(2, -8), what would be
the x-coordinate of A'?
Record your answer and bubble the grid.
Plez help

Answers

I’m thinking d

Step by step
The answer should be D

HELP PLZZ ill give u brainlest !!!
Hakeem owns seven less than 3/5
the number of DVDs that Manuel owns. Hakeem owns 20 DVDs. How many DVDs does Manuel own? Show your work.

Answers

Answer: 45 DVDs

Step-by-step explanation:

Assume that the number of DVDs owned by Manuel is x.

In comparison to Manuel therefore, the DVDs owned by Hakeem can be expressed as:

= 3/5 * x - 7

We know that Hakeem owns 20 DVDs so we can use this number to solve for x:

20 = 3/5x - 7

3/5x = 20 + 7

3/5x = 27

x = 27 ÷ 3/5

x = 27 * 5/3

x = 45 DVDs

A factory bottles 511 bottles of juice in 7 minutes. Find the factory's unit rate of bottles per minute.

A. 511 bottles/7 minutes
B. 73 minutes/1 bottle
C. 73 bottles/1 minute
D. 73:1

Answers

511 divided by 7 is the unit rate. So a is how you get it but d is the answer

Mr. Moore planted a tree in his backyard. His tree grew 3 1/3 feet over five years. if his tree grew at the same rate each year, how much did the tree grow per year.

A. 1/5 foot

B. 1/3 foot

C. 3/5 foot

D. 2/3 foot

Answers

Answer:

D. 2/3 per year.

Step-by-step explanation:

3 1

3

÷ 5

=  

10

3

÷ 5

=  

10

3

×  

1

5

=  

10 × 1

3 × 5

=  

10

15

=  

10 ÷ 5

15 ÷ 5

=  

2

3

The table represents a proportional relationship. Complete the table and write an equation that describes the relationship

Answers

Answer:

Which table?

There's non

Can you post the table.

URGENt! PLS HELP. DONT USE LINKS OR JOKE. SEND REAL ANSWER. ITS VOLUME.

Answers

Answer:

334

Step-by-step explanation:

HELP ASAP! Look at pic :,)

Answers

Answer:

E

Step-by-step explanation:

the chair can go in any time AFTER the bed, so let’s think bed first

then he wants to move the heavy stuff, then awkward.

so the dresser and desk are heavy, and the couch is awkward.

but the chair can go in at any time so E would make sense

What is the volume of the prism?

Answers

200 Should be the answer

Hi there!

I believe your answer is:  

[tex]200\text{in}^3[/tex]

Here’s why:

The formula for volume of a rectangular prism is:

[tex]V = LWH\\\\L-\text{Length}\\W-\text{Width}\\H-\text{Height}[/tex]

Our given measurements are:

[tex]\text{The height of 8 inches.}\\\\\text{The length of 5 inches.}\\\\\text{The width of 5 inches.}[/tex]

Plugging in the values into the formula...

[tex]V = 5 * 5 * 8\\\\\text{Multiply from left to right.}\\\\\rightarrow V=25*8\\\\\rightarrow \boxed{V=200}[/tex]

[tex]\text{The volume of the prism given should be }\boxed{\text{200 cubic inches.}}[/tex]

Hope this helps you. I apologize if it’s incorrect.  

7x+8y= 8

Slope

Y intercept

Answers

Answer:

Slope = -7/8

Y-intercept = (0, 1)

Step-by-step explanation:

Answer:

[tex]slope = - \frac{7}{8} [/tex]

y- intercept= 1

Step-by-step explanation:

Rearrange the equation such that it is in the form of y=mx+c. This form is known as the slope-intercept form, and m is the gradient while c is the y-intercept.

7x +8y= 8

8y= -7x +8

Divide by 8 on both sides:

[tex]y = - \frac{7}{8} x + 1[/tex]

Thus, the slope is [tex] - \frac{7}{8} [/tex] and the y-intercept is 1.

Another way to find the y-intercept is to substitute x= 0 into the equation since the y-intercept occurs at x= 0.

7x +8y= 8

When x= 0,

7(0) +8y= 8

8y= 8

y= 8 ÷8

y= 1

Thus, the y-intercept occurs at y= 1 or the coordinate (0, 1).

Note: slope and gradient have the same meaning and can be used interchangeably

A system of equations is shown on the graph below.

On a coordinate plane, 2 lines intersect at (negative 1, 2).

How many solutions does this system have?

no solutions
one unique solution
two solutions
an infinite number of solutions

Answers

Answer:

one unique solution

Step-by-step explanation:

one unique solution => (-1, 2)

Answer:

B

Step-by-step explanation:

Which describes the relationship between EG and DF 2 Select all that apply.
ty
F
E
21
ס
o
2
4
A
perpendicular
B bisect each other
C. parallel
D. congruent

Answers

Answer:

A  perpendicular

B bisect each other  

D. congruent

Step-by-step explanation:

Given

Attached quadrilateral

Required

Relationship between EG and DF

First, we have that: DEFG is a square

EG and DF are diagonals

Using the property of diagonals of a square, we have:

EG and DF to be perpendicular

EG and DF to be congruent

EG and DF to be bisect each other

A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than 20 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. Based on a sample of n = 43 wind speed recordings (taken at random intervals), the wind speed at the site averaged x = 25.8 mph, with a standard deviation of s = 4.2 mph. To determine whether the site meets the organization's requirements, consider the test, H0: µ = 25 vs. Ha: µ > 25, where µ is the true mean wind speed at the site and alpha = .01. Suppose the value of the test statistic were computed to be 1.25. State the conclusion.
A) At alpha = .01, there is sufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.
B) At alpha΅= .01, there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.
C) We are 99% confident that the site meets the organization's requirements.
D) We are 99% confident that the site does not meet the organization's requirements.

Answers

Answer:

B) At alpha = 0.01, there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.

Step-by-step explanation:

P-value of the test:

The p-value of the test is the probability of finding a sample mean above 25.

We are using the t-distribution, with test statistic t = 1.25 and 43 - 1 = 42 degrees of freedom. This probability is a right-tailed test.

With the help of a calculator, this p-value is of 0.1091.

Since the p-value of the test is 0.1091 > 0.01, at [tex]\alpha = 0.01[/tex] there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph, and the correct answer is given by option B.

Part 1 l: Jose and Tamika are married with three children . If they decided to combine their income taxes and complete one tax form , what is their filing status ? . Part 2: Jose makes $54,923 and Tamika has an earned income of $49,500 for the year. Using your answer from part 1 how much will they owe in taxes?

Answers

Answer:

that is you ni report kits

Samantha Smith purchased a $50,000 policy for $1,050 per year. After ten years, what will be the ratio (percentage) of
cash value to premiums paid?
%
Ratio of cash value to premiums paid (to the nearest tenth)

Answers

Answer:

After 10 years the ratio will be 10500: 500000

Answer:

2.1%

Step-by-step explanation:

I converted the ration to a percent. (on g o o g l e)

Please Brainlyest


Gabriela bought 48 tickets in order to win the $1000 grand prize for the raffle organized by the Student Council. If there are
432 tickets sold for the raffle, what is the probability that Gabriela will not win the grand prize?

Answers

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

Since there are 432 tickets total and Gabriela bought 48, the chances of Gabriela not winning the grand prize is equal to the chance of any of the tickets she did not buy getting drawn. If she bought 48, then she did not buy 432-48=384 tickets. The chances of any of these being drawn is:

[tex]\frac{384}{432}=\boxed{\frac{8}{9}}[/tex]

Mario builds a triangular table- help!!

Answers

Answer:

Step-by-step explanation:

question 1a) hey, so it would look like this for example:

question 1b) no, because they don't follow the rules of a 30-60-90 triangle (like the one shown below)

tell me if u have any questions

6. Which of the following statements below is correct?
A. Circumference is the result of adding diameter by pi.
B. Circumference is the result of dividing diameter by pi.
C. Circumference is the result of subtracting diameter by pi.
D. Circumference is the result of multiplying the diameter by pi.​

Answers

d

.........................

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

h = 6.7km

Step-by-step explanation:

4.5^2 + 4.9^2 = c^2

44.26 = c^2

6.65 = c

The answer would be about 3.1 (terribly sorry if I’m incorrect)

Using the picture above Find the measure of arc EF

Answers

Given:

Measure of arc CG is 125 degrees.

The measure of angle CDG is 85 degrees.

To find:

The measure of arc EF.

Solution:

Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.

Using the intersecting chords theorem, we get

[tex]m\angle CDG=\dfrac{1}{2}(m(arcCG)+m(arcEF))[/tex]

Let x degrees be the measure of arc EF.

Substituting the given values, we get

[tex]85^\circ=\dfrac{1}{2}(125^\circ+x)[/tex]

[tex]2\times 85^\circ=125^\circ+x[/tex]

[tex]170^\circ -125^\circ=x[/tex]

[tex]45^\circ=x[/tex]

Therefore, the measure of arc EF is [tex]45^\circ[/tex].

can someone help me with this?<33

Answers

9514 1404 393

Answer:

  -35

Step-by-step explanation:

Replace F with -31 and do the arithmetic.

  C = 5/9(-31 -32)

  C = (5/9)(-63) = -35

The temperature in degrees Celsius is -35.

Please help me solve this question

Answers

Answer:

The final answer is 78 inches, though I would recommend for you to read through the steps of how this is achieved.

Step-by-step explanation:

To start, to grasp the corresponding sides deal, think of it as saying Quad 1234 is equal to Quad ABCD. Now, it is fairly easy to make up the sides between the two shapes. With this, the following is true:

Side 12 ≅ Side AB

Side 23 ≅ Side BC

Side 34 ≅ Side CD

With the end, it loops back around to meet back at the first edge of the shape again, if you're looking for a side length.

Side 41 ≅ Side DA

Now, with the real stuff. We're greeted with the Quads DEFG and KLMN, and asked to find FG. Looking at it, FG would be using the 3rd and 4th letters of the set of quad edges. Comparing this to the other quad shape, the 3rd and 4th letters are MN. Therefore, lets use this.

Next, set these equal to each other. FG is 5y+3 and MN is 7y-27

5y+3 = 7y-27

5y = 7y-30

-2y = -30

2y = 30

y = 15

y equals 15.

Lastly, plug this into the equation for FG to get the final answer.

5(15)+3

75+3

78 inches

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