Given that the variances of random variables X and Y are 1600 and 400, respectively. The correlation between X and Y is 0.58. Find Var (X – 3Y).

Q: Here is a sample of 20, the correlation between two variables is .5. Determine if this correlation…

A: Solution: State the hypotheses. Null hypothesis: H0: There is no significant correlation between two…

Q: p(x) Compute E(X), E(X²), and V(X). x ft3 (X) = x²) = (X) = If the price of a freezer having…

A: Since the question has multiple sub parts we will solve the first three sub parts. Please resend the…

Q: If X is distributed as N(0,2), and Y = 3 + 2X. (a) What is the mean of Y? (b) What is the variance…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: A set of n=15 pairs of scores (X and Y values) has SSx= 4, SSy=25, and SP=6. What is the Pearson…

A: Given sample size n = 15SSx = 4,   SSy = 25 and Sp = 6.The pearson correlation coefficient is…

Q: The weights​ (in pounds) of 6 vehicles and the variability of their braking distances​ (in feet)…

A: Sample size (n) = 6 The values of x and y are α=0.05

Q: Suppose that X and Y are unknown with E(X) = 10, Var(X) = 4, E(Y) = 12 and Var (Y) = 100. In…

A: Solution: From the given information,

Q: If X has a normal distribution with mean 1 and variance 4, the P(X^ 2 -2X<=8)=?

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Q: If X has a normal distribution with mean µ = 11 and variance σ2  = 16, find the value of x if P (X…

A: It is given that, X~ N (11, 16).

Q: in) Find the auto correlation function and its PSD. ) Find the Mean and Variance of Y (t)

A: Answer: For the given data

Q: In the table below, let X be the number delinquent peers a respondent has and Y be the number of…

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Q: Find the coefficient of determination, given that the value of the linear correlation coefficient,…

A: Coefficient of determination: Obtain the value of the coefficient of determination.   The value of…

Q: If the variance of a binomial variate is 16, then the standard deviation of the variate is O a. 16 O…

A: Let VarX be the variance and σ be the standard deviation The relation between the variance and…

Q: We know that X is an unknown distribution with a mean of u and a variance Xị are i.i.d. e

A: From the given information, X is an unknown distribution with a mean of μ and a variance of σ2; And…

Q: (e) Find the standard deviation o of the distribution of the distance R, with mean 4, where the…

A: From the given information, C(r)=∫0rp(t)dt=1-2r2+2r+1e-2r The probability density function p(t) is,…

Q: A researcher obtains t (20) = 2.00 and Md = 9 for a repeated measures study. If the researcher…

A: Given, t=2 df=20

Q: Give interpretation of the below?Correlation ρxy≈0

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Q: (E}=1 x?); i3D1 8075 so what is the variance of these population (N=8).

A: sum of x = 243 therefore mean  = 2438 = 30.375 sum of squares of x = 8075

Q: The following estimator for the population variance 1 (T; – a)? n i=1 is

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Q: Find the coefficient of determination r2, given that the value of the linear correlation…

A: It is given that The correlation coefficient is r = 0.611

Q: For a data set of chest sizes (distance around chest in inches) and weights (pounds) of nine…

A: Number of observations n= 9 The linear correlation coefficient r = 0.372

Q: Then the variance of Y is

A: Given, E(Y/X=x)=2xvar(Y/X=x)=4x2 f(x)=1, 0&lt;x&lt;10, e.w

Q: Which of the following better approximates the variance of the sample means? b. 4. VN-n N-1 a. 4 vn

A: Varince is the measure of dispersion. It used to understand the variance of each observation from…

Q: If the variance of a binomial variate is 4, then the standard deviation of the variate is а. 2 O b.…

A: We know that, Standard deviation=√ Variance

Q: Find the MGF of the binomial distribution ()ra- Use it to show that the mean is p and the variance…

A: Given that the pmf of the binomial distribution is P(X=x)=nxpx1-pn-x, x=0, 1, 2,..., n. We have to…

Q: Find the MGF of the binomial distribution and hence find its mean and variance. Binomial…

A:

Q: A barber expects to get between zero and six customers per hour in his barber shop. The probability…

A: Solution-: We have following table: X P(X) 0 0.15 1 0.07 2 0.29 3 0.26 4 0.13 5 0.09…

Q: If x and y are independent random variable with E(xy)= 20 then the correlation coefficient is

A:

Q: The following data were obtained for a sample of 10 men from a height and Σ (x₁ - x)² = 120, Ey? =…

A:

Q: If the variance of a binomial variate is 16, then the standard deviation of the variate is O a. 4 O…

A: Given Variance of data is 16 WE know that , Standard Deviation = Variance…

Q: Calculate co-efficient of correlation from the following information by taking deviation from actual…

A: Correlation is the degree or extent of relationship between two variables.

Q: Then the value of the variance of X+Y is:

A: Variance of X + Y can be calculated as V(X + Y) = V(X) + V(Y) + 2Cov(X, Y)

Q: An analysis of variance produces SSb=35,SSw=15 and a F ratio with the df=1,5.What is the F ratio?

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Q: find the coefficient of determination, given that the value of the linear correlation coefficient,r,…

A:

Q: d) Calculate the coefficient of determination and the coefficient of correlation, by applying the…

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Q: For the Venn diagram below, what would best describe the variance explained by x1 in a multiple…

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Q: Suppose that X and Y are unknowns with E ( X ) = 10, Var ( X ) =4,  E ( Y ) = 12  and Var ( Y ) =…

A:

Q: Your sample has the following statistics: • Cov(x,y)=Sxy=35 • Correlation coefficient ľry =+0.5 •…

A: According to the given information, we have Covariance, Cov(x,y) = Sxy=35Correlation coefficient…

Q: Estimate the co-efficient of correlation between x and y from the following data and hence comment…

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Q: Suppose that for a set of (x,y) data, r² = 0.2916. Find the linear correlation coefficient. Do not…

A: Provided information: For a set of (x,y) data,r2 = 0.2916

Q: and the r = 0.4096. What is the correlation coefficient for this data set? r =

A: Given that Coefficient of determination (r2) = 0.4096   We know that  Correlation coefficient (r) =…

Q: Let wages denote hourly wages, educ years of education, and exper years of experience, and suppose…

A: It is an important part of statistics . It is widely used .

Q: Given a normally distributed population with a mean of 100 and variance 100, find f) P(90 sx s 115)…

A: Disclaimer : “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: A set of n=15 pairs of scores (x and y values) has Ssx =200, Ssy=60, and Sp=30.What is the Pearson…

A:

Q: The sample correlation coefficient is equal to the covariance of x and y divided by the square root…

A: It is an important part of statistics . It is widely used .

Q: We have the following information about the random variables X and Y: 0.5, дY – 1,o = 1, o = 2.25.…

A:

Q: A set of n=5 pairs of X  and Y has SSx=16, SSy=4 and SP=2. for these data , what is the Pearson…

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Q: Consider R.V. Y Unif (0, 1) What is the variance of U -4 In(Y)? %D

A: From the given information, Y~Unif0,1. f(y)=11-0      =1, 0&lt;y&lt;1

Q: The correlation coefficient is r

A: