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.
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...
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...
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...
Homework Statement
Find if continuous and differentiable. I am having problems with the differentiable part.
Homework Equations
f(x) = x² + 3, |x| ≤ 1
f(x) = |x| + 3, |x| > 1
The Attempt at a Solution
(1)^2 + 3 = 4
|1| + 3 = 4
∴ It is continuous
Now, rewriting it, you...
Homework Statement
Make a piecewise function. If possible, please check my work.
- Salesperson has salary of $500.
- On first 10 000 of sales, earns 10% commission.
- On next 10 000 of sales, earns 20% commission.
- Earns 25% commission on any additional sales.
(note: didn't simplify to...
Homework Statement
y = aK, a >0... Find y' and y'' and graph.
Homework Equations
y = aK, a > 0
The Attempt at a Solution
Having a constant "a" there and then a > 0 confuses me for graphing.
y' = a
y" = 0
As for graphing, y' = a, a > 0... Perhaps just a straight horizontal...
A limit of a sequence is definetely convergent if:
If for any value of K there is an N sufficiently large that an > K for n > N, OR for any value of K there is an N sufficiently large that an<±K for n > N
My only question is what exactly are K, N, an and n? What values are they? How would...
Homework Statement
Consider the sequence ak = (3)/(4^(2k)). Show is convergent, find sum. Please check work.
Homework Equations
ak = 3/(4^2k)
let s {n} be the series associated with the sequence. Cannot write summation notation here, but k starts at 1 (k = 1 on bottom) and infinity...
Homework Statement
Please look over my work and tell me if I did something wrong.
Suppose Bn is a divergent sequence with the limit +∞, and c is a constant.
Prove: lim cBn -> ∞ = +∞ for c > 0
Homework Equations
N/A
The Attempt at a Solution
lim Bn -> ∞ = means that for some value K >...
Homework Statement
The consumption set of a consumer is: {(x, y) ∈ R+² : X ≥ X’ >0, Y ≥ Y’ > 0}. Graph it.
I am only wondering how it looks, don't need a copy of the graph.
Homework Equations
{(x, y) ∈ R+² : X ≥ X’ >0, Y ≥ Y’ > 0}
The Attempt at a Solution
This first part, (x, y) ∈ R+²...
Hello. Please look over my answers!
Homework Statement
a) Prove that this set is not convex: x = [1, 2] U [3, 4] c R
b) Prove the intersection of two bounded sets is bounded
Homework Equations
for a) x = [1, 2] U [3, 4] c R
The Attempt at a Solution
a) A convex set is where...
Homework Statement
If you have, for example, 2 + 4 - 1, you can get the answer (5), by doing both:
= 2 + (4 - 1)
and,
= (2 + 4) - 1
But the same logic does not work with logs: to get the right answer (4/3) here you must do:
=(ln(9/4) + ln (16/9)) - ln (3/1)
and NOT...
Very basic: "constant" in gravity-model of trade
The gravity model of trade states that trade between countries depends on the size of their economies (bigger = more trade) and distance between them (larger = less trade).
The formula is: Trade = G ((Mi*Mj)/(Distance))
Mi is size of economy...