Homework Answers
SOLUTION;-
GIVEN DATA;-
x <- rnorm(1000)
z <- rnorm(1000)
y <- x^3 + 10* x + z
var(x+y)
var(x) + var(y) + 2 *cov(x,y)
var(x-y)
var(x) + var(y) - 2 *cov(x,y)
Running code
> x <- rnorm(1000)
> z <- rnorm(1000)
>
> y <- x^3 + 10* x + z
>
> var(x+y)
[1] 202.4593
> var(x) + var(y) + 2 *cov(x,y)
[1] 202.4593
>
> var(x-y)
[1] 149.9148
> var(x) + var(y) - 2 *cov(x,y)
[1] 149.9148
note that
var(x+y) = var(x) + var(y) + 2 *cov(x,y) = 202.4593
similarly
var(x-y) = var(x) + var(y) - 2 *cov(x,y) = 149.9148
Add Answer to:
R code please
Problem 3 Use a simulation to verify that when X~N(0,1), Z N(0,1)Y X3+...
must be Rstudio code. can use other languages to do the problem but please convert to...
must be Rstudio code. can use other languages to do the problem but
please convert to R code
The median is the middle of a dataset. For example, if your observations are c(1,2,3,8,10), the median is 3. Note ã = 1+2+3+8+10 4.8, so they're not necessarily equal. 5 The interquartile range is the difference between the 75% and 25% percentiles. The function IQR() in R can be used to compute it. Or, compute the 75% percentile with the function quantile(),...
(3) Verify the Divergence Theorem for F(x, y, z)-(zy, yz, xz) and the solid tetrahedron with vertices (0,0,0), (1,0,0), (0, 2,0), and (0, 0,1 (3) Verify the Divergence Theorem for F(x, y, z)...
(3) Verify the Divergence Theorem for F(x, y, z)-(zy, yz, xz) and the solid tetrahedron with vertices (0,0,0), (1,0,0), (0, 2,0), and (0, 0,1
(3) Verify the Divergence Theorem for F(x, y, z)-(zy, yz, xz) and the solid tetrahedron with vertices (0,0,0), (1,0,0), (0, 2,0), and (0, 0,1
Q2: Suppose that X-N(O, 1), U-N(O, 0.25), Y 3- 2X and Z following questions. 2 X...
Q2: Suppose that X-N(O, 1), U-N(O, 0.25), Y 3- 2X and Z following questions. 2 X +U. Please answer the Compute E(Y), E(Z), Var(Y) and Var(Z). What are the distributions of Y and Z? Using R, draw 50 independent realizations of X and U. Using those values, create 50 realizations of Y and Z. (NOTE: set the seed for random number generation in R. Before your code type set.seed 123))
Obtain E(Z|X), Var(Z|X) and verify that E(E(Z|X)) =E(Z), Var(E(Z|X))+E(Var(Z|X)) =Var(Z) 3. Let X, Y be independent...
Obtain E(Z|X), Var(Z|X) and verify that E(E(Z|X)) =E(Z),
Var(E(Z|X))+E(Var(Z|X)) =Var(Z)
3. Let X, Y be independent Exponential (1) random variables. Define 1, if X Y<2 Obtain E (Z|X), Var(ZX) and verify that E(E(Zx)) E(Z), Var(E(Z|X))+E(Var(Z|X)) - Var(Z)
Consider the multiple regression model y = X3 + €, with E(€)=0 and var(€)=oʻI. Problem 1...
Consider the multiple regression model y = X3 + €, with E(€)=0 and var(€)=oʻI. Problem 1 Gauss-Mrkov theorem (revisited). We already know that E = B and var() = '(X'X)". Consider now another unbiased estimator of 3, say b = AY. Since we are assuming that b is unbiased we reach the conclusion that AX = I (why?). The Gauss-Markov theorem claims that var(b) - var() is positive semi-definite which asks that we investigate q' var(b) - var() q. Show...
3) Suppose X~N(0,1) and Y~N(2,4), they are independent, then is incorrect. 6 X-Y N(-2,5) D Var(X)...
3) Suppose X~N(0,1) and Y~N(2,4), they are independent, then is incorrect. 6 X-Y N(-2,5) D Var(X) < Var(Y) SupposeX-N(Aof) and Y-N(H2,σ ), they arc indcpcndcnt, thcn in the following statementss incorrect 4) 5) Suppose X~NCHiof) and Y~NCHz,σ ), they are independent, if PCIX-Hik 1) > PCIY _ μ2I 1), then ( ) is correct.
Problem 4. For r E [0, 1, fnd F)-(t)dt, where fr) 3 2r. Verify that F is continuous on [0,1] and F"(z) =f(z) a...
Problem 4. For r E [0, 1, fnd F)-(t)dt, where fr) 3 2r. Verify that F is continuous on [0,1] and F"(z) =f(z) at all points where f is continuous. Problern 5. Suppose that g, h : [c, d] → [a,b] are differentiable. ForエE [c,d] define h(a) Find H'(r)
Problem 4. For r E [0, 1, fnd F)-(t)dt, where fr) 3 2r. Verify that F is continuous on [0,1] and F"(z) =f(z) at all points where f is continuous. Problern...
a) Use the following R code to empirically check the Central Limit Theorem via simulation .n...
a) Use the following R code to empirically check the Central Limit Theorem via simulation .n <- 40 # sample size m <- c(1:200) #create a vector of length 200 for (i in 1:200) { #simulate 200 samples x <- rnorm(n) m[i] <- mean(x) } hist(m) b) Repeat part (a) with n=200 and compare the histograms. Describe what you observe and what you expect when n increases. c) Repeat parts (a) and (b) with runif() and rexp() respectively instead of...
If y varies directly with x3 and inversely with z, and y is 64 when x...
If y varies directly with x3 and inversely with z, and y is 64 when x is 8 and z is 2, what is y when x is 5 and z is 3?
Please help with the R code! Thanks! Assume that your data consists of x1, . ....
Please help with the R code! Thanks!
Assume that your data consists of x1, . . , strap sample, we sample with replacement of these n points to obtain a set of IID new points Xi,... , X" such tha , Tn, n values. When we generate the boot- for each l. This new dataset, X* , X*, is called a bootstrap sample (a) (1 pt) Show that the bootstrap sample is an IID random sample from Fn, where TI...
must be Rstudio code. can use other languages to do the problem but
please convert to R code
The median is the middle of a dataset. For example, if your observations are c(1,2,3,8,10), the median is 3. Note ã = 1+2+3+8+10 4.8, so they're not necessarily equal. 5 The interquartile range is the difference between the 75% and 25% percentiles. The function IQR() in R can be used to compute it. Or, compute the 75% percentile with the function quantile(),...
(3) Verify the Divergence Theorem for F(x, y, z)-(zy, yz, xz) and the solid tetrahedron with vertices (0,0,0), (1,0,0), (0, 2,0), and (0, 0,1
(3) Verify the Divergence Theorem for F(x, y, z)-(zy, yz, xz) and the solid tetrahedron with vertices (0,0,0), (1,0,0), (0, 2,0), and (0, 0,1
Q2: Suppose that X-N(O, 1), U-N(O, 0.25), Y 3- 2X and Z following questions. 2 X +U. Please answer the Compute E(Y), E(Z), Var(Y) and Var(Z). What are the distributions of Y and Z? Using R, draw 50 independent realizations of X and U. Using those values, create 50 realizations of Y and Z. (NOTE: set the seed for random number generation in R. Before your code type set.seed 123))
Obtain E(Z|X), Var(Z|X) and verify that E(E(Z|X)) =E(Z),
Var(E(Z|X))+E(Var(Z|X)) =Var(Z)
3. Let X, Y be independent Exponential (1) random variables. Define 1, if X Y<2 Obtain E (Z|X), Var(ZX) and verify that E(E(Zx)) E(Z), Var(E(Z|X))+E(Var(Z|X)) - Var(Z)
Consider the multiple regression model y = X3 + €, with E(€)=0 and var(€)=oʻI. Problem 1 Gauss-Mrkov theorem (revisited). We already know that E = B and var() = '(X'X)". Consider now another unbiased estimator of 3, say b = AY. Since we are assuming that b is unbiased we reach the conclusion that AX = I (why?). The Gauss-Markov theorem claims that var(b) - var() is positive semi-definite which asks that we investigate q' var(b) - var() q. Show...
3) Suppose X~N(0,1) and Y~N(2,4), they are independent, then is incorrect. 6 X-Y N(-2,5) D Var(X) < Var(Y) SupposeX-N(Aof) and Y-N(H2,σ ), they arc indcpcndcnt, thcn in the following statementss incorrect 4) 5) Suppose X~NCHiof) and Y~NCHz,σ ), they are independent, if PCIX-Hik 1) > PCIY _ μ2I 1), then ( ) is correct.
Problem 4. For r E [0, 1, fnd F)-(t)dt, where fr) 3 2r. Verify that F is continuous on [0,1] and F"(z) =f(z) at all points where f is continuous. Problern 5. Suppose that g, h : [c, d] → [a,b] are differentiable. ForエE [c,d] define h(a) Find H'(r)
Problem 4. For r E [0, 1, fnd F)-(t)dt, where fr) 3 2r. Verify that F is continuous on [0,1] and F"(z) =f(z) at all points where f is continuous. Problern...
If y varies directly with x3 and inversely with z, and y is 64 when x is 8 and z is 2, what is y when x is 5 and z is 3?
Please help with the R code! Thanks!
Assume that your data consists of x1, . . , strap sample, we sample with replacement of these n points to obtain a set of IID new points Xi,... , X" such tha , Tn, n values. When we generate the boot- for each l. This new dataset, X* , X*, is called a bootstrap sample (a) (1 pt) Show that the bootstrap sample is an IID random sample from Fn, where TI...
Most questions answered within 3 hours.
-
Table salt contains 39.33 g of sodium per 100 g of salt. The
U.S. Food and...
asked 7 minutes ago -
C&A records the following profit figures for the last six
months in Excel for a linear...
asked 4 minutes ago -
This needs to be done in c++11 and be compatible with g++
compiling
Project description:
Write...
asked 6 minutes ago -
.
NEED ANSWER ASAP
******NEW ANSWER NEVER USED BEFORE****
Write a page paper on conducting marketing...
asked 7 minutes ago -
Assume that capital markets are competitive and that the
international Fisher hypothesis holds. The one-year interest...
asked 34 minutes ago -
Solid potassium phosphate is slowly added to 150 mL of a 0.0518
M calcium nitrate solution....
asked 48 minutes ago -
(CO 2) A field can be added to a report to
values for two or more...
asked 2 hours ago -
Identify 3 research scenarios that might provide a low,
medium, and high degree of variability in...
asked 3 hours ago -
how
does gravity affect the trajectory of projectile? what would be the
shape of the trajactory...
asked 3 hours ago -
Two small plastic spheres are given positive electrical charges.
When they are a distance of 15.4...
asked 3 hours ago -
An acidic solution containing gold ions is
electrolyzed, producing gaseous oxygen (from water) at the anode...
asked 4 hours ago -
Assume that the population of Mexico is 128
million and that the population increases 1.01
percentannually....
asked 5 hours ago