The components of the OLS variances Under assumptions MLR.1 through MLR.5, conditional on the sample values of the independent variables, the variance of βjˆβj^ under OLS is:
Var(βjˆ)=σ2SSTj(1−R2j)Var⁡βj^=σ2SSTj1−Rj2
where
σ2 = the variance of the error term
SSTj = the total sample variation of xj
Rj2 = the R-squared from a regression of xj on all of the other explanatory variables, along with an intercept parameter.
The variance of β __________as SST, increases
For the given model, which of the following would lead to a reduction of the sampling variance of β?
a. Increasing the sample size.
b. Adding irrelevant explanatory variables to the model that are correlated with X.
c. Adding an explanatory variable that is equal to 1-x.
d. Decreasing the sample size.

Answers

Answer 1

Answer:

1. Variance of beta decreases as SST increases.

2. option a

Step-by-step explanation:

SST is same as total sum of squares. From the formula above, if the value of SST increases, the variance of beta decreases.

In this model, if the sample size n is increased, the the sampling variance beta is going to reduce. The variance of the distribution is population variance / the size of the sample n. so the bigger n becomes, the lower the sampling variance of beta.


Related Questions

PLSS HELPPPP!!!
Which expressions represent the total area of the large rectangle? Select all that apply.

Answers

Answer:

A, C, and E

Step-by-step explanation:

Suppose you're hiring a new worker for your business. You'd like someone reliable. Suppose you use administer a test to job-seekers many other employers use to determine if applicants have this trait. The test is 90% senstitive and 95% specific. If 60 unreliable people apply and 20 reliable people apply, how many positive results will you have

Answers

Answer:

You will have 21 positive results.

Step-by-step explanation:

Sensitivity of test:

Is the true positive rate, that is, the proportion of positive results that give positive tests.

Specificity of test:

True negative rate, that is, the proportion of negative results that give negative tests.

90% sensitive, 20 reliable people apply

0.9*20 = 18

95% specific, 60 unreliable people apply

1 - 0.95 = 0.05 of positive results.

0.05*60 = 3

How many positive results will you have?

18 + 3 = 21

You will have 21 positive results.

A school principal of 890 students needs to determine what percentage of students passed and did not pass a statewide examination. 300 students passed. Round to the nearest percent.
What percent did not pass the test?

Answers

Answer:

Percentage = 66%

Step-by-step explanation:

Let the number of students that pass be P.

Let the number of students that fail be F.

Given the following data;

Total number of students, T = 890 students

P = 300 students

To find the percentage that failed;

First of all, we would determine the number of students that failed using the mathematical expression given below;

Total students, T = P + F

890 = 300 + F

F = 890 - 300

F = 590

[tex] Percentage = \frac {590}{890} * 100 [/tex]

[tex] Percentage = 0.6629 * 100 [/tex]

Percentage = 66.29 ≈ 66%

Therefore, the percentage of students that failed or didn't pass is 66%.

Someone help me ASAP

Answers

Answer:

1972

Step-by-step explanation:

area of retangle plus area of triangle minus area of half circle

Given this matrix equation:
3 X 6 1 [-3 x-17
-Y X Y =
6 -2y
[Ty 2 8 4 6
-2
12

Choose the equation that you can use to solve
for x:
3-6 = -3
X-1 = x - 1
x²_x=6
--Y-y=-2y

Answers

Answer:

The correct answer is x²-x=6

Step-by-step explanation:

Answer:

c and -2 and 3

Step-by-step explanation:

Which of these fractions is another name for 1/2?
A.
4/8
B.
1/3
C.
4/6
D. 3/4

Answers

Answer:
A) 4/8

Explanation:
A. 4/8 is another name for a 1/2

20. Find the mean, median, and mode for the following
data set:
83 98 22 89 99 98

Answers

Answer:

a. Mean = 81.5

b. Median = 93.5

c. Mode = 98

Step-by-step explanation:

Given the following data;

x = 83, 98, 22, 89, 99, 98

F(x) = 83 + 98 + 22 + 89 + 99 + 98

F(x) = 489

Number of items, n = 6

a. To find the mean;

Mean = F(x)/n

Mean = 489/6

Mean = 81.5

b. To find the median;

Median refers to the middle number of a sorted data. Thus, we would arrange the number in an ascending order and choose the middle number.

x = 22, 83, 89, 98, 98, 99

Middle numbers = 89 and 98

Median = (89 + 98)/2

Median = 187/2

Median = 93.5

c. To find the mode;

Mode is the number which appeared the most in the series.

Mode = 98

The Mean, median, and mode for the following data set are as follows:

Mean is 81.5Median is 93.5Mode is 98.

What are the measures of central tendency?

The measures of central tendency include the mode, the median, and the mean.

Statistically, a central tendency is a typical value for a probability distribution.

The mode's value appears most often in a set of data values.  The median is the middle value of a dataset.  The mean represents the average.

Data and Calculations:

Data set (in ascending order)

22 + 83 + 89 + 98 + 98 + 99 = 489

Mean = 81.5 (489/6)

Median = 93.5 (89 + 98)

Mode = 98 (occurred twice more than other values)

Learn more about the mean, median, and mode at https://brainly.com/question/14532771

#SPJ1

f - 4.1 = 8.6
please help i need ur help please

Answers

Answer:

f=12.7

Step-by-step explanation:

Answer:

12.7

Step-by-step explanation:

To find f, we need to "reverse" the operation and do 8.6 + 4.1 which equals 12.7.

Double check: 12.7 - 4.1 = 8.6 which is true. Therefore, 12.7 = f.

Hope this helps! If it did, please give me brainliest! It would help me a lot! Thanks! :D

Which sets of measurements could be the side lengths of a triangle?
Select each correct answer.
A. 6 cm, 7 cm, 8 cm
B. 4 cm, 8 cm, 13 cm
C. 3 cm, 3 cm, 3 cm
D. a 7 cm, 7 cm, 10 cm
E. 5 cm, 9 cm, 14 cm

Answers

Answer:

A

Step-by-step explanation:

easy way to take a note

is that the sum of the 2 first angles much be greater than the 3rd one

so A

A rectangular prism gift box has dimensions of 2.5 inches and 7 inches in 9 inches how much wrapping paper will it take to cover the gift Boxxx round the answer to the nearest 10th

Answers

157.5 is the answer I think

Find the formula for
B

Answers

Answer:

Step-by-step explanation:

Just square m

Answer:

It is m^2

Step-by-step explanation:

How many subsets does this set have: A = {2,4,6,8,10}
A. 5
B. 8
C. 28
D. 32

Answers

Answer:

5(option a) is the correct answer

The temperature in Lancaster was 19°C. The temperature in Yardley was –21°C. How much warmer was the temperature in Lancaster than the temperature in Yardley?

Answers

Answer:

It was 40 degrees warmer in Lancaster than Yardley.

Step-by-step explanation:

Answer:

19-(-21)=40°

Step-by-step explanation:

Warmer temperature has to carry a positive sign

What is the number of b? 50b = 7,300

Answers

Answer: 146

Step-by-step explanation: Divide 7300 by 50

Answer:

b = 1460

Step-by-step explanation:

50b = 7,300

the steps are easy and simple- Divide 50 on each side

50b/50 = 7300/50

this will isolate b and give it's answer

b = 1460

Graph x > -5 on a number line.

Answers

Answer:

yes

Step-by-step explanation:

that is correct unless your asking something else?

Quadrilateral A'B'C'D'is the image of quadrilateral ABCD under a rotation of about point Q.
Determine the angle of rotation

a. -90
b. -60
c. 60
d. 90​

Answers

9514 1404 393

Answer:

  a.  -90°

Step-by-step explanation:

Point A is straight west of Q.

Point A' is straight north of Q. This represents a rotation of 90° clockwise, or -90°. (Positive angles are counterclockwise.)

HELP PLEASE! ILL MARK BRAINLIEST!

A rental car company charges $53.75 per day to rent a car and $0.07 for every mile driven. Alexander wants to rent a car, knowing that: He plans to drive 425 miles. He has at most $320 to spend. Write and solve an inequality which can be used to determine dthe number of days Alexander can afford to rent while staying within his budget .

Answers

Answer:

5 days

Step-by-step explanation:

425x0.07=29.75

320-29.75=290.25

290.25÷53.75=5.4

Answer:

Inequality: 53.75d + 29.75 ≤ 320

Answer: d ≤ 5.4

Step-by-step explanation:

help plz me plz plz plz

Answers

Answer:

D

Step-by-step explanation:

Brainly plss it would make my day :))))

Answer:

#2

Step-by-step explanation:

Reconsider Dr. Sameer's research question about how much time Cal Poly students spend on watching television. Suppose that for the random sample of 100 Cal Poly students the mean number of hours per day spent watching TV turns out to be 3.01 hours, and the standard deviation of the number of hours per day spent watching TV turns out to be 1.97 hours.


a. Is the number 1.97 a parameter or a statistic? Assign an appropriate symbol to this number.
b. Find the standardized statistic to investigate whether the data provide evidence that the average number of hours per day Cal Poly students spend watching TV is different from 2.75 hours.
c. What is your conclusion about the hypotheses, based on the calculated value of the standardized statistic? How are you deciding?

Answers

Answer:

a. 1.97 is a statistic

b. t test is = 1.32

p value = 0.186

c. there is not enough evidence to support our claim

Step-by-step explanation:

a. 1.97 is not a parameter it is a statistic. It is the standard deviation of the sample. we represent this with the symbol s.

b. we are claiming that the mean hours that are spent watching television is different from 2.75

we form our hypothesis as:

h0; u = 2.75

h1: u not equal to 2.7

t stat = barx - u/s/√n

= 3.01-2.75/(1.97/√100)

= 0.26/(1.97/10)

= 0.26/0.197

= 1.32

we get p value

n = 100

df = 100-1 = 99

using t distribution, pvalue = 0.1899

c. the p value is higher than our alpha level here

0.189 > 0.05, so we fail to reject H0. our conclusion is that there is not enough evidence to show that μ is different from 2.75

Which three lengths can NOT be the lengths of the sides of a triangle?
A.23 m, 17 m, 14 m
B. 5m, 7m, 8m
C. 21m, 6m, 10m
D.11 m, 11 m, 12 m

Answers

Answer:

C. 21m, 6cm, 10m

Step-by-step explanation:

Please help i have a zero on this i need to get 100

Answers

Answer:

The answer is D  :)

Step-by-step explanation:

write a fraction with a denominator of 9. The fraction should be less than half​

Answers

Answer:

The only fraction i can think of is 2/9

Step-by-step explanation:

if 9% of the air leaks out of brian bicycle tire everyday, what percent of the air will be left after 3 days. after a week. round your percent to 2 decimal places

Answers

Answer:

3 days = 75.36%1 week = 51.68%

Step-by-step explanation:

You can use the future value formula to calculate this:

Future value = Amount * (1 + rate)^ no. of periods

As there is no given amount, simply calculate using (1 + rate)^ no. of periods.

After 3 days:

= (1 + (-9%))³

= 0.753571

= 75.36%

After a week:

Week = 7 days

= ( 1 + (-9%))⁷

= 0.51676

= 51.68%

In a room at a​ museum, we want to tile the floor. If the floor measures 15 feet by 55 ​feet, what is the​ largest-size square tile that we can use to tile the floor without having to cut​ tiles?

A) 11 ft by 11 ft
B) 5 ft by 11 ft
C) 5 ft by 3 ft
D) 3 ft by 3 ft
E) 11 ft by 3 ft
F) 5 ft by 5 ft

Answers

Answer:

B. 5 foot by 11 foot

the numbers have to be divisible in both directions.

11x11 doesn't work, because at 15 feet wide one tile isn't wide enough, and 2 is too wide.

5x11 works- 3x5= 15 and 11x5=55. you'd use 15 tiles.

the rest are all smaller.

FIRST TO ANSWER RECIEVES BRAINLIEST
In the figure below, the radius of circle O is 3 centimeters.

What is the length of the arc bounded by central angle POQ?
cm
7 cm
оооо
EIN 50
За cm

cm
2

Answers

Answer:

C)

Step-by-step explanation:

As it is 60 degree, and the whole circle is 360 degree, so we need to find 1/6 of the circumference of a circle, as C = 2*pi*r = 2*pi*3 = 6pi and 1/6 of it is pi.

3 x 2 1/2= ?????????????????/
Welp

Answers

Answer:15/2

Step-by-step explanation:

0.08 times what equals $1.20​

Answers

Bbbbbbbbbvvvvbhhghhhhhhhhhhj

Answer:

15

Step-by-step explanation:

1.20 divided by 0.08 is 15

0.08 x 15= 1.20

Amihan bought ½ kilogram of beef. Write ½ kilogram I'm decimal form​

Answers

1/2 in decimal form is 0.5

When I think of a number, double it, then add
seven, I get 23. Determine the number that I
first thought of.​

Answers

Answer:

8

Step-by-step explanation:

23 - 7

= 16

16 ÷ 2

= 8

u thought of 8 ;)

Answer:

number maybe 8...

Step-by-step explanation:

because if you will double 8 then you will get 16 and if you will add 16 with 7 you will get 23....

Dr. Toliver has 6 fossils.

Dr. Cook has 5 times as many fossils as Dr. Maranan.

They have 90 fossils altogether. How many fossils does Dr. Maranan have?

Copyright 2020 Edmentum, Inc. All Rights Reserved

(hp

Answers

Answer:

dude 30 fossils are left

Step-by-step explanation:

Other Questions
how does natasha addmit that she is an undocumented immigrant to daniel in The Sun Is Also a Star Please help!!!! I beg you I will give brainliest!!! Explain!!!!!!! eight times a number plus five times another number is -13. the sum of the two is 1. What are the numbers? Which of these events occurs first during the process of transcription? A. RNA polymerase joins nucleotides into the RNA molecule. B. RNA polymerase binds to the promoter. C. Introns are removed from the RNA molecule. D. Exons are removed from the RNA molecule. The height of the trapezoid is 8 feet and the base is 24 and 18 what is the area Can someone explain how to do this for me! can someone help I need to fill in the blank How can studying the DNA of organisms and their specific genes provide evidence for how organisms change over ? Saitama And Tatsumaki Both Go Shopping Together ,Both have Have 50 loafs of bread , And Saitama takes 43 , How much do Tatsumaki have left? How was Nazism different than the other TOTALitarian governments at the time? What is a key difference between Confucianism and the other Asian religions?A. Confucianism is NOT found in Asia B. Confucianism is a philosophy rather than a religion C. Confucianism is the only one that has a well-known founder D. Confucianism is NOT in any way differrent from other Asian religions Which of the following flower structures protects the developing flower before the bud opens?A. sepalsB. petalsC. ovaryD. stame Use the values listed in the table to answer the question.Which expression is equivalent to 0? What are the measure of the other three angles formed by the intersection? Create a recursive formula for this sequence (linear)(1,4)(2,7)(3,10)(4,13)(5, 16) hi please help ill give brainliest please Which was not a source of energy introduced during the late 1800s?A. keroseneB. gasolineC. electricityD. coal find the square of (X+7) 2. Sate the method of collecting gases that areii). Lighter than aii). denser than air What is an obtuse angle