Homework Statement
Salaries of NBA players related to average points per game:
Salary = 1 500 000 + 0.9log(points), n = 150, r^2 = 0.14
1) What is a bad players salary? 2) Interpret the coefficient in front of the aggressor 3) What would be the advantages of running it in log-log form...
Homework Statement
The simple regression model is y = α + βx + u, where u is the error term. If you don't include α, when is β unbiased?
Homework Equations
y = α + βx + u
The Attempt at a Solution
Not including α doesn't affect whether β is unbiased because α is a constant.
Sorry.
I mean if you were NOT asked to find a maximum or minimum, and were ONLY asked to find the lagrangian and the three partial derivatives - would these two answers be correct regardless of how you solved the constraint function?
The goal was to find an optimal value subject to the constraint... Does it matter then, and how do you know which one to pick?
Also, both partial derivatives would be correct, right?
Homework Statement
F(x, y) = 96xy - 4x
subject to constraint of 11 = x + y
Form the lagrangian.
Homework Equations
F(x, y) = 96xy - 4x
subject to constraint of 11 = x + y
The Attempt at a Solution
My only question is solving 11 = x + y
My book says the answer is:
L...
Homework Statement
I am pretty sure I went completely wrong but not sure where. Please help!
2 -3
2 -5
Homework Equations
2 -3
2 -5
The Attempt at a Solution
(note: I apologize for poor notation)
eigenvalues = -4, 1
eigenvectors = (1/√5)(1/2), (1/√10)(3/1)
The matrix is not symmetric...
Homework Statement
Find eigenvector for the root -7 of:
|2 3|
|3 -6|
Homework Equations
|2 3|
|3 -6|
The Attempt at a Solution
I got
1
-3
But my books says
-1
3
I am only wondering if this is possibly the same answer, because when I check my answer by multiplying...
Homework Statement
For u(x1, x2) = ax1 + bx2
a) find total differential
b) Draw a representative level curve for u = ubar (u with a line over it)
c) Find MRS (marginal rate of substitution)
Homework Equations
u(x1, x2) = ax1 + bx2
The Attempt at a Solution
a)
fx1 = a
fx2...
Sorry... If it was i.e. y = (x, y), x = (t), y = (t^2) I would get it and there my book says you do the same steps as I listed above.
I'm just not sure here... y = f(t, t^2, t^3). Thus, y = dependent. t, t^2, t^3 are independent. Intermediate variables must connect the two... If that is not...
Homework Statement
If possible, please check my work for any large errors.
y = 10kl - √k - √l
k = (t/5) + 5
l = 5e^t/10
Evaluate at t = 0 using chain rule.
Homework Equations
y = 10kl - √k - √l
k = (t/5) + 5
l = 5e^t/10
The Attempt at a Solution
= ∂y/∂k * dk/dt + ∂y/∂l * dl/dt
= (10l -...
Homework Statement
I am confused because for each problem there is no equation and for one no intermediate variables.
Compute dy/dt when
a) y = f(t, t^2, t^3)
b) y = g(t, h(t), k(t^2))
Homework Equations
a) y = f(t, t^2, t^3)
b) y = g(t, h(t), k(t^2))
The Attempt at a...
In this video https://www.youtube.com/watch?feature=player_detailpage&v=INfPkT9EkhE#t=415, the presenter gets (1, -1) and (1, -8).
Why exactly is it 1, -8 and not -8, 1, for example? How do you know what order to put it in?
Homework Statement
A =
2 -2
-2 5
Eigenvalues are: 6, 1
Find eigenvectors. My only question is about order. My book lists them in the opposite order as I and I am not sure where I went wrong.
Homework Equations
A =
2 -2
-2 5
Eigenvalues are: 6, 1
The Attempt at a...
Area of the triangle of "benefits" shown above.
The area above price and below the demand curve. "Consumer surplus" and "producer surplus".
But because there is no supply curve, I assume we can just find consumer surplus and call it benefits.
Homework Statement
City "A" wants to measure benefits of a stadium it built. Currently admission is free and 10 000 people per month visit the stadium.
In a comparable city, a similar stadium charges $5 for admission and receives 2000 visitors per month.
Assume a linear demand curve...
Homework Statement
2x + y = 8, x - z = 2. Solve by elimination and substitution
Homework Equations
2x + y = 8, x - z = 2
The Attempt at a Solution
It cannot be solved by elimination or substitution.
Cash flow of 100 000. Interest rate = 8%, inflation = 3%. Cash flow will keep pace with any increase in prices. Find present value for first three years.
Answer:
Because it says "cash flow will keep pace with increase in prices", don't you not divide by the inflation rate, but instead...
Homework Statement
I am not sure what is meant by this question:
for y = x^2 - 2x,
find
lim x->2 ((f(x) - f(1))/(x-1))
Homework Equations
for y = x^2 - 2x,
find
lim x->2 ((f(x) - f(1))/(x-1))
The Attempt at a Solution
Normally to find the limit here I would just find the derivative...
Homework Statement
Let μ represent a positive constant.
Find the derivatives of:
(x^2)/(2μ)
Please check work. I am confused about the "constant" part. Can't you just set μ = some positive number and find the derivative that way?
Homework Equations
(x^2)/(2μ)
The Attempt at a Solution...