Question: Given a random variable A, with standard deviation x and a random variable Y = a + bX, show that if b < 0, the

Given a random variable A, with standard deviation σx and a random variable Y = a + bX, show that if b < 0, the correlation coefficient pXY = —1, and if b > 0, pXY = 1.

Step by Step Solution

★★★★★

3.24 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Since oxy CovabX X b... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

18-M-S-E (47).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Show that if B is singular, then ABI K(A)IIAlI

Given a random variable C whose value is known by time T, and such that E[|C|] is finite, show that the process M(t) := Et[C] is a martingale on the time interval [0, T].

Given a random variable C whose value is known by time T, and such that E[|C|] is infinite, show that the process M(t) : = Et[C] is a martingale on the time interval [0, T].

Given a random variable X, with standard deviation X, and a random variable Y = a + bX, show that if b 0, XY = 1.

Given a random variable X, with standard deviation , and a random variable Y = a + bX, show that if b 0, = 1. X XY XY

4.48 Given a random variable X, with standard deviation X , and a random variable Y = a + bX, show that if b 0, X Y = 1.

The closing stock price of Ahmadi, Inc. for a sample of 10 trading days is shown below. Day 1 Stock Price 83 2 77 3 84 4 88 5 76 6 90 7 91 8 83 9 92 10 86 For the above sample, compute the following...

Available online at www.sciencedirect.com Operational Research in Sustainable Development and Civil Engineering - meeting of EURO working group and 15th German-Lithuanian-Polish colloquium...

1.Two variables have a positive non-linear correlation. Does the dependent variable increase or decrease as the independent variable increases? A. Dependent variable would remain the same B....

12I also need to know the mean of the random variable and the standard deviation?? tl Groups of adults are randomly selected and arranged in groups of three. X P(x) The random variable x is the...

Does the MO energy diagram of cyclooctatetraene (Figure 16-8) appear to be a particularly stable or unstable configuration? Explain. In Figure 16.8 nonbonding line cyclobutadiene cyclooctatetraene...

You wish to save for a down payment on a car. You can afford to save $400 each month, which you will place into a savings account at the end of each month. The savings account pays you .25% monthly...

Implement a classifier using any programming language ( Java , Python ) and test it with benchmark datasets from the UCI Machine Learning Repository. Split the dataset into two parts: use 9 0 % for...

Wesley, who is single, listed his personal residence with a real estate agent on March 3, 2017, at a price of $390,000. He rejected several offers in the $350,000 range during the summer. Finally, on...

Valron Company has two support departments, Human Resources and General Factory, and two producing departments, Fabricating and Assembly. The costs of the Human Resources Department are allocated on...

The following transactions occurred in January at Dungan Cabinetry, a furniture maker that uses job costing: 1. Purchased $53,700 in materials on account. 2. Issued $1,500 in supplies from the...

Caldwell Home Appliances Inc. is estimating the activity cost associated with producing ovens and refrigerators. The indirect labor can be traced into four separate activity pools, based on time...

Which of the following numbers could not possibly be probabilities? Justify your answer. a. 0.462 b. 0.201 c. 1 d. 56 e. 3.5 f. 0

Find the critical points and the intervals on which the function is increasing or decreasing. Use the First Derivative Test to determine whether the critical point yields a local min or max (or...

The competing hypotheses for a hypothesis test are as follows: H0: 1000 Assume the population standard deviation is known to be 80. A random sample of size 64 has a sample mean of...

The competing hypotheses for a hypothesis test are as follows: H0: > 500 Ha:

The following measurements were recorded for the drying time, in hours, of a certain brand of latex paint. Assume that the measurements are a simple random sample. (a) What is the sample size for the...

Consider the data in Exercise 1.5. Compute the sample variance and the sample standard deviation for both the control and treatment groups. In Exercise 1.5 Control group: 7 3 -4 4 2 5 22 7 9...

Compute the sample standard deviation in tensile strength for the samples separately for the two temperatures. Does it. appear as if an, increase in temperature influences the variability m (ensile...

b b. calculate the NPV and decide if the system is worth noting the date of retum month Indicated by a minus sign. Do not round Intermediate calculations. Round your new 2 Net procent value Worth...