Let X Be A Random Variable Representing Percentage Change In Neighborhood Popula

/in /by

Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a random variable representing crime rate (crimes per 1000 population.) A random sample of six Denver neighborhoods gave the following information:x 29 2 11 17 7 6y 173 35 132 127 69 53Σx=72, Σy=589, Σx^2=1340, Σy^2=72,277,Σxy=9499a) draw a scatter diagram for the datab) find x bar, y bar, b and the equation of the least-squares line. Plot the line on the scatter diagram of part (a).c) Find the sample correlation coefficient r and the coefficient of determination. What percentage of the variation in y is explained by the least-squares model?d) Test the claim that the population correlation coefficient p is not zero at the 1% level of significance.e) For a neighborhood with x= 12% change in population in the past few years, predict the change in the crime rate (per 1000 residents)f) verify that Se= 22.5908g) Find a 80% confidence interval for the change in crime rate when the percentage change in population is x= 12% h) Test the claim that the slope B of the population least-squares line is not zero at the 1% level of significance.I) Find an 80% confidence interval for B and interpret its meaningshow all work!

 
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
ORDER NOW

Let X Be A Non Empty Set And D Be The Discrete Metric On X Let X N Be A Cauchy S

/in /by

Let X be a non empty set and d be the discrete metric on X. Let {xn } be a Cauchy sequence in (X,d).

  • i) Show that there exists k elements of N such that

xn = xk

  • ii) Does it follow from this that every discrete metric is complete
 
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
ORDER NOW

Let X Be A Non Central Chi 2 5 Lambda Random Variable And Y Independent Of X Be

/in /by

Let X be a non-central ​ (5,  ) random variable, and Y, independent of X, be a ​(4) random variable.

a) Derive the moment generating function of 2X-1, and find its mean and variance.

b) Find the mean of W = ​​​

 
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
ORDER NOW

Let X Y Be Compact Metric Spaces And Consider The Metric Space X X Y Equipped Wi

/in /by

Please help me prove the following about sequences of continuous functions

Let X, Y be compact metric spaces and consider the metric space X x Y equippedwith the metric d((x1, y1), (x2, y2)) = dx(x1, 72) + dy (y1, y2). Prove that for everyf EC(X xY) and every e > 0, there exist functions gi, . . . On E C(X) and hi, . .. hn EC(Y) such thatnIf (x, y) -gi (x )hi(y) <e for all x EX, yEY.j=1

 
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
ORDER NOW

Let X Be A Continuous Random Variable With Cdf F X Taking Values In An Interval

/in /by

4. Let X be a continuous random variable, with CDF F(x), taking values in an interval[0, b]; that is, F(0) = 0 and F(b) = 1. Then there is an alternative formula forexpected value:E(X) =Z b0(1 − F(x)) dx. (1)(a) Assume b is a finite number. Prove (1) using integration-by-parts. [Hint:Recall that the PDF is f(x) = ddxF(x).](b)Check that the formula (1) holds when X Unif(0, b).(c) Formula (1) also works for b = 1. Check this when X is an Exponential RVwith PDF f(x) = e−x for x 0.

 
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
ORDER NOW

Let X X U V U V2 And Y Y U V U2 V4

/in /by

5. Let x = x(u, v) = u + v2, and y = y(u, v) = u2 + v4.(a). Find out where the Jacobian of the transformation equals 0, and find the chambers in the u-v plane where the Jacobian is positive and the chambers where it is negative.(b). Find the curves in the x-y plane that correspond to the rays in the u-v plane where the Jacobian equals 0. (One of the curves is only half a curve!)(c). As you go counterclockwise about the origin in the u-v plane, describe the correspondingmotion in the x-y plane, using your answer to part (a).

 
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
ORDER NOW

Let X Bar Be The Mean Of A Random Sample From The Exponential Distribution

/in /by

Let X bar be the mean of a random sample from the exponential distribution.

a) show that xbar is unbiasedpoint estimator of  θ

b) using the mgf technique,determine the distribution of xbar

c) use (b) to show that Y= 2nx bar/ θ has x^2 (chi) distibution with 2n degrees of freedom.

d) based on part (c),find a 95 % confidence interval for  θ if n=10

 
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
ORDER NOW

Let X U K 1 K I For Any N E N Prove That I X 1 Z By Lling Out The Gaps In The 15

/in /by

Please help with the attached question. Don’t have to rewrite the question, it’s just fill the blanks

Let X,, = U {k —;1;,k+ i) for any n E N. Prove that I] X,1 = Z by filling out the gaps in the#152 116"argument below. Proof. For any n E N and 1′ E R we have _< :1: <_. In particular, if :1: E Z, then :r E __ forany n E N as _. Therefore, E C X,1 for any n E N. As a result, _. We want to show that n X“ C Z. From the equivalence of the “if-then” statement and itsnEN contrapositive, it is enough to show that _. Notice that n Xn C IR as for all k E Z and allHEN n E N we have _. Therefore, we want to show that if 1: E_, then _. Assume r E_. Then,choose k E E such that k < r < k + 1. In particular, a.“ — k_ and (k +1)— :t_, so we canchoose or E N such that _ and _ because _. As a result, a >_ and a: <_. Therefore, 1: 5-3 _. So, :2: ¢_. Since _ and _, we have _. III

 
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
ORDER NOW

Let X And Y Be Two Correlated Random Variables If The Correlation Coefficient Be

/in /by

Let X and Y be two correlated random variables. If the correlation coefficient between X

and Y is1 ,i.e., ρ(X,Y)=1, show that

Question:Let X and Y be two correlated random variables. If the correlation coefficient between Xand Y is 1.Answer:p ( X ,Y ) = COV ( X , Y )√V ( X )∗V ( Y ) Since , p ( X ,Y )=1, V(X+Y) =…

 
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
ORDER NOW

Let X T Be A Signal That Has A Rational Laplace Transform With Exactly Two Poles

/in /by

Let x(t) be a signal that has a rational Laplace transform with exactly two poles, located at s = -1 and s = -3. If g(t) = e2t x(t) and G (jw) [ the Fourier transform of g(t)] converges, determine whether x(t) is left sided, right sided, or two sided?

 
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
ORDER NOW