I am building a business cycle index, which include 4 variables that drive the index. Each variable I also include autoregessive coefficients that are all significant and negative. I was wondering what is the significance of this? In other words, what is the significance of have autoregessive...
Y: 51 32 30 74 42 35 39 33 55 61
Y-hat: 49 35 29 72 44 32 38 36 57 60
Null hypothesis: mean y-hat = mean y
Alternative hypothesis: not null hypothesis
So I got as a t test 0 and I was wondering if I did something wrong because I never has this case happened to me.
A particle with mass 1.81×10−3kg and a charge of 1.22×10−8C has, at a given instant, a velocity v =(3.00×104m/s)j^. produced by a uniform magnetic field B =(1.63T)i^+(0.980T)j^
Find the value of the expression qvB/m (the magnitude of a when v is perpendicular to B ), where q is the magnitude...
Homework Statement
Calculate the magnitude of the electric field E = (-11i^+14j^)N/C
∣∣E⃗ ∣∣ = _______ N/C
Calculate the direction (relative to the +x-axis ) of the electric field E = (-11i^+14j^)N/C.
θ =_________∘ counterclockwise from the +x-axis
Homework Equations...
Homework Statement
A 0.407 kg book rests at an angle against one side of a bookshelf. The magnitude and direction of the total force exerted on the book by the left side of the bookshelf are given by:
Force Left = 2.17 Newtons and θ=59 degrees
What must the magnitude and direction of...
Homework Statement
Two forces are acting on a 0.250-kg hockey puck as it slides along the ice. The first force has a magnitude of 0.405 N and points 25.0° north of east. The second force has a magnitude of 0.565 N and points 75.0° north of east. If these are the only two forces acting on the...
A clarinetist, setting out for a performance, grabs his 3.41-kg clarinet case (including the clarinet) from the top of the piano and holds it in the air with an upward force of 31.8 N. Find the case\'s vertical acceleration. Indicate an upward acceleration as positive and a downward one as...
Your gun's muzzle is at coordinate (0,1.12) meters and
Your projectile hit the ground at coordinate (1.03,0) meters
Compute muzzle velocity (vx):
This is all I'm given to figure out the muzzles velocity, so I know I'm given a height and how much it moved horizontally. But I'm getting...
A electric model train travels at 31.7 cm/s around a circular track of radius 1.73 m.
How many revolutions does it perform per second, i.e, what is the motion\'s frequency?
______ Rev / s
Find the train\'s period of revolution.
______ s
This is how I worked out the problem:
v^2/r = rw^2...
Problem: Find the solution to the initial Value problem (differential equations)?
y'=-y+e^-2x
y(0) = 3
Attempt: y' -y = e^(-2x) ----- (1)
Linear equation of first order of form y' + y p(x) = q(x)
p(x)= -1
q(x) = e^(-2x)
Find the integrating factor e^∫p(x) dx = e^∫ - dx = e^-x
Multiply...
Question: Explain why you cannot solve the ordinary equation?
x^2y'' + xy' + (x^2-1)y = 0
My attempt: I don't need to solve it, but just simply state why I can't with just differential equations
So my answer is, This differential equation does have a solution, it's just not expressable in...
Homework Statement
If the number of complaints a dry cleaning establishment receives per day is random variable having the Poisson distribution with λ = 3.3, what are the probabilities that it will receive:
(a) Five complaints altogether on any two given days.
(b) at least 12 complaints...
Homework Statement
Find the probabilities that the value of a random variable will exceed 4 if it has a gamma distribution with
(a) \alpha = 2 and \beta = 3
(b) \alpha = 3 and \beta = 4
[b]3. The Attempt at a Solution [/b}
how would I even attempt this question?
Homework Statement
A and B are independent, P(A) = 0.30, P(B) = 0.50. Compute P(A U B) and P(A' intersect B).
The Attempt at a Solution
P(A U B) = 0.30 + 0.50 = 0.80
P(A' intersect B) = 1 - 0.30 = 0.70
this is obviously wrong
Homework Statement
Consider the experiment of tossing a fair coin 4 times. What is the probability distribution of the number X of heads?
The Attempt at a Solution
I got (0.5)(0.5)(0.5)(0.5) = 0.0625 but its wrong and I don't know why
Homework Statement
Expressing the binomial coefficients in terms of factorials and simplifying algebraically, show that
(n over r) = (n-r+1)/r (n over r-1);
Homework Equations
The Attempt at a Solution
I honestly don't even know how to come about this problem...I really need help in this...
Homework Statement
Let T: R3 → R3 be a linear transformation such that T(1, 1, 1) = (1, 0, –1), T(0, – 1, 2) = (–3, 3, –1), and T(1, 0, 1) = (1, 1, 0). Find the following expression. (Enter each vector as a comma-separated list of its components.)
what is T(2, –1, 1)?
The Attempt at a...
Homework Statement
Consider the following parameterization of the circle:
a) x1 (t) = (cost, sint)
b) x2 (t) = (cos3t, sin3t)
c) x3 (t) = (sint, cost)
How long does it take point a particle to go from (1,0) to (0,1) for each parameterization.
Homework Equations
The...
Homework Statement
Parameterize a line, L, such that is crosses through the point P=(3, -5) and direction v=(2, 8). Now, using this parametrization determine the following points belong to L: P1=(73, -180) and P2=(5, -14)
Homework Equations
The Attempt at a Solution
I really need...
Two objects A and B are traveling in opposite direction on a straight line. At t=0 A and B are at positions P(A)=(-40, -20) and P(B)=(190, 980), respectively. If additionally, their paths are parameterized by directions V(A)=(3,5) and V(B)=(-24, -40), respectively. Then,
a) find the point...