Categorical variables Suppose we are interested in the salaries of professors at colleges. Professors are on of three ranks: assistant professor, associate professor, or full professor. We have the model yi = Bo + B11(AssocProf) + B21(Prof) + Wi, where yi is a professors salary in dollars, 1(AssocProf) is a binary indicator variable that equals 1 if the professor is in an associate professor, 1(Prof) is a binary indicator variable that equals 1 if the professor is in a full professor. Estimates for this regression are reported below. Salary (1) Dependent Variable: Model: Variables (Intercept) 1(AssocProf) 80,776.0*** (2,887.3) 13,100.5*** (4,130.9) 45,996.1*** (3,230.5) 1(Prof) Fit statistics Observations R2 Adjusted R2 397 0.39425 0.39118 IID standard-errors in parentheses Signif. Codes: ***: 0.01, **: 0.05, *: 0.1 (a) (5 points) What is the average salary for assistant professors? (b) (5 points) Calculate a 95% confidence interval on B1. Is it statistically different from zero? Hint: to.025,395 = 1.966 (c) (5 points) Interpret the meaning of ß1. What is the average salary of associate professors? (d) (5 points) Interpret the meaning of ß2. What is the average salary of full professors? (e) (5 points) Why can we not estimate model yi = Bo + B11(AssocProf) + B21(Prof) + B31(Asst Prof) + u;? Briefly explain.

Using the properties of parallelogram, measure of diagonal HF is 90.

A parallelogram is a geometric object with sides that are parallel to one another in two dimensions. It is a form of polygon with four sides (sometimes known as a quadrilateral) in which each parallel pair of sides have the same length.

Among a parallelogram's characteristics are:

The opposing sides are equal and parallel.

Angles on either side are equal.

The two diagonals are split in half.

The parallelogram is divided into two congruent triangles by each diagonal.

Given that in Parallelogram EFGH, diagonals FH and EG intersect at point D. So that, FD = DH

x² - 36 = x² - 4x

⇒ 4x = 36

⇒ x = 36/4

⇒ x = 9

So that, FD = x² - 36

FD = 9² - 36

FD = 81 -36

FD = 45

SO that, HF = 2 * FD

HF = 2*45

HF = 90

To learn more about parallelogram visit:

brainly.com/question/29147156

#SPJ1

Answer:

5.10

Step-by-step explanation:

Answer:

5.10

Step-by-step explanation:

A) If the last digit in the fractional part of 5.096 is less than 5, then simply remove the last the digit of the fractional part.

B) If the last digit in the fractional part of 5.096 is 5 or more and the second digit in the fractional part is less than 9, then add 1 to the second digit of the fractional part and remove the third digit.

C) If the last digit in the fractional part of 5.096 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is less than 9, then add 1 to the first digit in fractional part and make the second digit in fractional part 0. Then remove the third digit.

D) If the last digit in the fractional part of 5.096 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is 9, then add 1 to the integer part and make the fractional part 00.

With 5.096, rule C applies and 5.096 rounded to the nearest hundredth is:

5.10

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

To know more about Model specification, visit:

https://brainly.com/question/13326948?

#SPJ11

The money factor that will be used to calculate the bonus payment for Bob's car lease is 0.00192. This can be calculated by dividing the interest rate of 8% by 2,400.

The money factor is a measure of the interest rate on a car lease. It is expressed as a decimal, and is typically much lower than the interest rate on a car loan. The money factor is used to calculate the monthly lease payment, and also to determine the amount of the bonus payment that can be made at the end of the lease. To calculate the money factor, we can use the following formula: Money factor = Interest rate / 2,400. In this case, the interest rate is 8%, so the money factor is: Money factor = 8% / 2,400 = 0.00192.

To know more about money factors here: brainly.com/question/30239936

#SPJ11

The given statement " If A and B are n x n and invertible, then A⁻¹B⁻¹ is the inverse of AB." is true because  A and B are invertible matrices, it means that they both have an inverse (A⁻¹and B⁻¹, respectively). The product of A and B, represented by AB, is also an n x n matrix.

To show that A⁻¹B⁻¹is the inverse of AB, we must demonstrate that the product of (AB) and (A⁻¹B⁻¹) results in the identity matrix, which is an n x n matrix with 1s along the diagonal and 0s elsewhere.
To verify this, we'll multiply (AB) with (A⁻¹B⁻¹) and check if the result is the identity matrix:
(AB)(A⁻¹B⁻¹) = A(BA⁻¹)B⁻¹ (associative property of matrix multiplication)
Since B and A^-1 are inverses of each other, their product equals the identity matrix:

A(BA⁻¹)B⁻¹= AI B⁻¹(where I is the identity matrix)
Multiplying A and I doesn't change A:
AI B⁻¹= A B⁻¹
Now, A and B⁻¹are inverses of each other as well, so their product also equals the identity matrix:
A B⁻¹= I
Thus, A⁻¹B⁻¹ is indeed the inverse of AB, as the product of (AB) and (A⁻¹B⁻¹) results in the identity matrix.

To know more about invertible matrices click here

brainly.com/question/31116922

#SPJ11

The area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10 is 174/3 units².

To find the area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10, we need to solve this problem in the following way:

Since the curves are already in the form of x = f(y), we need to use vertical strips to find the area.

So, the integral for the area of the region is given by:

A = ∫a b [x₂(y) - x₁(y)] dy

Here, x₂(y) = 10 - 2y² - 12y - 19/5 = - 2y² - 12y + 1/2 and x₁(y) = -4y - 10

So,

A = ∫(-3)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy + ∫(-2)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy

=> A = ∫(-3)⁻²[2y² + 8y - 19/2] dy + ∫(-2)⁻²[2y² + 8y - 19/2] dy

=> A = [(2/3)y³ + 4y² - (19/2)y]₋³ - [(2/3)y³ + 4y² - (19/2)y]₋² | from y = -3 to -2

=> A = [(2/3)(-2)³ + 4(-2)² - (19/2)(-2)] - [(2/3)(-3)³ + 4(-3)² - (19/2)(-3)]

=> A = 174/3

Hence, the area of the region enclosed by the curves is 174/3 units².

Know more about area here:

https://brainly.com/question/15122151

#SPJ11

Answer:

the answer is B

Step-by-step explanation:

im smart

The null and alternative hypothesis are

H0: μ = 20

H1: μ ≠ 20

From the question, we have the following parameters that can be used in our computation:

Loan amount = $20,000

Using the above as a guide, we have the following:

When represented using symbols, we have

H0: μ = 20

H1: μ ≠ 20

Read more about test of hypothesis at

https://brainly.com/question/14701209

#SPJ1

Question

An investment blog states the average small business loan is 20 thousand dollars. A business loan broker would like to test the claim that the average small business loan is different than the amount stated in the investment blog. To test this claim at the 5% significance level, the business loan broker collects the following data on a sample of 25 small business loans and records the amount of the loan. The following is the data from this study: Sample size=25 small business loans Sample mean= 18.5 thousand dollars Sample standard deviation = 5 thousand dollars Identify the null and alternative hypothesis for this study by filling in the blanks with the correct symbol (=..<, or > to represent the correct hypothesis.)

The value of the down payment for the car is $345.

From the information, Scott will purchase a new computer on an installment plan and the computer costs $2,300 and requires a 15% down payment.

The value of the down payment will be:

= Down payment percentage × Total cost

= 15% × $2300

= 0.15 × $2300

= $345

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

The case fatality rate is 400 * 100 / 1500 = 26.67 (option d).

For the first scenario, the data determine that there is a difference in average expenditure between the two countries (option c). The P-value of 0.063 suggests that there is a moderate level of statistical significance, indicating that the difference in average expenditure is likely not due to random chance.

In the second scenario, the fact that the 95% confidence interval for the average number of times participants saw their provider per year (3.3) ranges from 0.1 to 6.1 is of statistical use because it provides a range estimate within which the true population means is likely to fall. This interval helps account for the uncertainty associated with the sample estimate and provides a measure of the precision of the estimate (option a).

For the third scenario, the average operating margin is appropriate to use because it is a measure of central tendency that represents the typical financial performance of rural hospitals. The standard deviation provides information about the variability of the operating margins (option d).

In the fourth scenario, the consideration factor that will ultimately contribute to the spread of Ebola is the population density of the affected area (option b). While factors like the influence of non-indigenous people and climatic conditions may play a role, population density is a key determinant in the transmission and spread of infectious diseases.

For the fifth scenario, the case fatality rate is calculated by dividing the number of deaths from the disease (400) by the total reported cases (1500) and multiplying by 100. Therefore, the correct calculation is 400 * 100 / 1500 = 26.67 (option d). This indicates that the case fatality rate is approximately 26.67%.

To learn more about “expenditure” refer to the https://brainly.com/question/935872

#SPJ11

We need to divide this expression by n and find the remainder. When we divide n^2 by n, we get n as the quotient. Similarly, dividing -2n by n gives us -2 as the quotient. Finally, dividing 1 by n gives us 0 as the quotient.

To prove that (n – 1)(n - 1) ≡ 1 in Zn, we need to show that (n – 1)(n - 1) divided by n leaves a remainder of 1. In modular arithmetic, Zn represents the integers modulo n. Let's start by expanding (n – 1)(n - 1) to n^2 - 2n + 1. Now, we need to divide this expression by n and find the remainder. When we divide n^2 by n, we get n as the quotient. Similarly, dividing -2n by n gives us -2 as the quotient. Finally, dividing 1 by n gives us 0 as the quotient. Since the remainder of 1 is obtained when dividing (n – 1)(n - 1) by n, we can conclude that (n – 1)(n - 1) ≡ 1 in Zn.

The fact that (n – 1)(n - 1) ≡ 1 in Zn means that the product of (n – 1) and (n - 1) leaves a remainder of 1 when divided by n. In other words, (n – 1)(n - 1) is congruent to 1 modulo n. Consequently, this implies that (n – 1) is always invertible in Zn. An element a is invertible in Zn if there exists an element b in Zn such that ab ≡ 1 in Zn. In this case, (n – 1) is the element a, and 1 is the multiplicative identity in Zn.

To know more about quotient visit:

https://brainly.com/question/16134410

#SPJ11

Answer: this is gonna be kinda long here i wrote some on because it was to much

Step-by-step explanation:

5. 459 times 87 = 39933

6. 2,679 times 5 = 13395

987 times 23 = 22701

9. 64,897 divided by 47 = 1380

10. 687 times 9 = 6183

17. 987 divided by 97 = 10

Answer:

All of them except whole numbers

Step-by-step explanation:

Whole numbers don’t include decimals the rest do

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

Answer:

4.4 otherwise that there isn't one

Answer:

4.35889894354

Answer: Yes.

Step-by-step explanation:

1.7 divided by 1.700 is 1

Thus, a person making the minimum salary for a CPA is making less than or equal to 20% of actuaries.

The boxplot below shows salaries for CPAS and Actuaries in a town. The person is making the minimum salary for a CPA, they are making less than or equal to 50 X% of Actuaries if:

CPA Actuary 30 35 40 45 50 55 60 65 70 75 Salary (thousands of $) kIn the boxplot, we can see that the minimum salary for a CPA is 30 thousands of dollars and the minimum salary for an actuary is 35 thousands of dollars.

Therefore, we can calculate the percentile of a CPA salary by using the formula below:

Percentile rank = (number of values below the given salary / total number of values) × 100

The total number of values is 10 (5 for CPAs and 5 for actuaries) and there are 4 values below the minimum salary for a CPA.

Thus, the percentile rank for the minimum salary for a CPA is:

Percentile rank = (4 / 10) × 100 = 40%

Therefore, if a person is making the minimum salary for a CPA, they are making less than or equal to 50(40%) = 20% of actuaries.

This can be calculated as:

20% = (50/100) × 40%

        = 20%

To learn more on salary:

https://brainly.com/question/30129860

#SPJ11

Complete Question: Attached below

D 1/3

The Coefficient of y/3 is 1/3

​

Answer:

1

Step-by-step explanation:

Step-by-step explanation:

Here,

x -20 < 35

or, X<35+20

•X<55

To find the average cost of producing 400 units of plywood, we need information about the cost function. If we have the cost function per unit, we can calculate the total cost of producing 400 units and then divide it by 400 to find the average cost per unit.

Let's assume the cost function for producing x units of plywood is given by C(x), where C(x) represents the cost in dollars. We can then calculate the total cost of producing 400 units as follows:

Total Cost = C(x) * Number of Units

Total Cost = C(400) * 400

Once we have the total cost, we can find the average cost per unit by dividing the total cost by the number of units:

Average Cost per Unit = Total Cost / Number of Units

Average Cost per Unit = (C(400) * 400) / 400

Average Cost per Unit = C(400)

Therefore, to find the average cost of producing 400 units, we need to know the cost function C(x) specifically for producing 400 units of plywood. Without that information, we cannot provide an exact value for the average cost.

Learn more about average cost here:

https://brainly.com/question/29509552

#SPJ11

If the cost per unit is to produce x units of plywood. find the average cost of producing 400 units.

The parametric equations of the line passing through the points (8, 2, 7) and (1, 6, 3) are:

x = 8 - 7t

y = 2 + 4t

z = 7 - 4t

To find a parametric equation of the line through the points (8, 2, 7) and (1, 6, 3), we can use the vector equation of a line.

Let's denote the line as (x, y, z). We can find the direction ratio of the line by subtracting the coordinates of the two points:

Direction ratio = (1, 6, 3) - (8, 2, 7) = (-7, 4, -4)

Now, we can write the parametric equations of the line using the coordinates of one of the points and the direction ratio:

x = 8 - 7t

y = 2 + 4t

z = 7 - 4t

where t is a parameter that can take any real value.

Thus, the parametric equations of the line passing through the points (8, 2, 7) and (1, 6, 3) are:

x = 8 - 7t

y = 2 + 4t

z = 7 - 4t

Learn more about parametric equation here

https://brainly.com/question/30548482

#SPJ4

The height of the rectangle will be 17 feet.

Let H be the height and W be the width of the rectangle.

Then the perimeter of the rectangle will be

Perimeter of the rectangle = 2(H + W) units

A rectangle has a perimeter of 45 feet and a base of 5.5 feet.

The sum of all the sides of the rectangle will be known as the perimeter of the rectangle.

Then the height of the rectangle will be

45 = 2(H + 5.5)

22.5 = H + 5.5

H = 22.5 - 5.5

H = 17 feet

Thus, the height of the rectangle will be 17 feet.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

#SPJ1

Answer:

Put

\(x < - 2 - 2y\)

Then put some of value to y and get x then we can graph it

Answer:

Point A' should be 2 units left and 8 units above of Point C.

Point B' should be 10 units right and above Point C.

Point C stays the same.

The capacity of thumb drive disc is 4 gigabytes and the capacity of compact disc is 2 gigabytes.

Let thumb drive = (x)

Let the capacity of 1 compact disk = (y).

Therefore, the appropriate equation will be:

4x + y = 18

4x + 3y = 22

Subtract the equations

2y = 4

y = 4/2

y = 2

The capacity of compact disc is 2 gigabytes.

Since 4x + y = 18

4x + 2 = 18

4x = 18 - 2

4x = 16

x = 16/4

x = 4

The capacity of thumb drive disc is 4 gigabytes.

Learn more about equations on:

brainly.com/question/13763238

#SPJ1

Answer:

-4

Step-by-step explanation:

Subtract 1 - 5 = -4...

Since 1 is less than 5, we know that the difference is negative, so we can rewrite this expression as -(5-1).

5 - 1 = 4, so - (5-1) = -4.

Answer:

1-(5) is 1-5 = -4

Step-by-step explanation:

one subtracted by 5 will offer an negative number, -4.

1. For the equation y = √(1 + 7r)/(1 - 2r), the derivative dy/dr can be found using the quotient rule. The result is dy/dr = (7(1 - 2r) + 14r(√(1 + 7r)))/(2(1 - 2r)^2√(1 + 7r)).

2. For the equation x = r*e^s and y = 1 + sin(t)/(1 + r*y), the derivative dy/dr can be found using the chain rule. The result is dy/dr = -[(cos(t))/(1 + r*y)] * dy/dr.

1. To find dy/dr for the equation y = √(1 + 7r)/(1 - 2r), we use the quotient rule. The quotient rule states that for a function u/v, the derivative is given by (v*du/dr - u*dv/dr)/(v^2).

Applying the quotient rule to the equation, we have u = √(1 + 7r) and v = (1 - 2r). Differentiating u and v with respect to r, we get du/dr = (7/2√(1 + 7r)) and dv/dr = -2. Substituting these values into the quotient rule formula, we simplify to obtain dy/dr = (7(1 - 2r) + 14r(√(1 + 7r)))/(2(1 - 2r)^2√(1 + 7r)).

2. For the equation x = r*e^s and y = 1 + sin(t)/(1 + r*y), we want to find dy/dr. Using the chain rule, we differentiate x = r*e^s with respect to r to get dx/dr = e^s.

For y = 1 + sin(t)/(1 + r*y), we differentiate both sides with respect to r. The derivative of 1 with respect to r is 0, and the derivative of sin(t)/(1 + r*y) is given by -[(cos(t))/(1 + r*y)] * dy/dr using the chain rule.

We want to find dy/dr, so we isolate it in the equation and obtain dy/dr = -[(cos(t))/(1 + r*y)] * dx/dr. Substituting dx/dr = e^s, we simplify to get dy/dr = -[(cos(t))/(1 + r*y)] * e^s.

Learn more about chain rule here:

https://brainly.com/question/30764359

#SPJ11

The simplified expression is 15 + 2i.

In conclusion, the simplified expression (7 - i) + (5 + 3i) - (-3 + 2i) simplifies to 15 + 2i.

For more questions on simplified expression:

https://brainly.com/question/2665652

#SPJ8

The row of the table that reveals the x-intercept of the function f is given as follows:

Second row.

A function has two intercepts, which are listed as follows:

The definition of each type of intercept is given as follows:

From the second row of the table, we have that when x = -4, f(x) = 0, hence the x-intercept of the function is of x = -4.

The y-intercept is of y = -16, as from the fourth row, when x = 0, y assumes a value of 16.

More can be learned about the intercepts of a function at https://brainly.com/question/3951754

#SPJ1

Answer:

35

Step-by-step explanation:

substitute n = 6 into h(n) for number of squares

h(6) = 6² - 1 = 36 - 1 = 35