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

Q: The range of the correlation coefficient is from 0 to 1. O True O False

A: The correlation coefficient is a measure that is used to find the relationship between two…

Q: If the random variable X and Y have the joint probability distribution f(x, y) = x+y, 0<x< 1,0 <y<1…

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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: Ey = 100 Ex = 850 >x- 9° = 210 п3 10 X : E(x - x) (х — 2) (у - Ў) %3 2050 = 3216.7 (10- 1)

A: Coefficient of Correlation: It is a measure of the strength of the straight line or linear…

Q: If X, Y and Z are uncorrelated and independent variables with the same variance o and zero mean.…

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Q: 40. Two regression lines of a sample are X+6Y=6 and 3X+2Y 0. Find the correlation coefficient.

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Q: The random variables X,Y have variance Var(X)=36 and Var(Y)=1 and their correlation is Cor(X,Y)=−34.…

A: Formula used Var ( X+Y) = Var(X)+Var(Y)+2Cov(X,Y)

Q: The regression lines between two random variables X and Y is given by 3X + Y = 10 and3X + 4Y = 12…

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Q: Two independent random variables X and Y have 36 and 16.Find the correlation co-efficient between…

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Q: Show that the coefficient of determination is indeed equal to the square of the linear correlation…

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Q: 2. The following data were obtained in a study of the relationship between the weight and chest size…

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Q: Two variables have the regression lines 3x + 2y = 26 and 6x + y = 31. Find the mean values, the…

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Q: f Cov(x,y)=2 and var(x)= 9 and var(y)=16 then the correlation coefficient between x and y is

A: We have given that  Cov(x,y)=2  , Var(x)=9 and Var(y)=16

Q: e simple regression line y=α+βx for th

A: given: x and y to find the regression line

Q: A random variable X is normally distributed with a mean of 100 and a variance of 500, and a random…

A: Given,E(x)=100V(x)=500E(y)=200V(y)=400r=-0.5

Q: A set of n=38 pairs of x and y scores has SSx=150 SSy=25 Ex=50 Ey=160 and EXY=200.What is the…

A: given data  n = 38, SSX = 150 , SSY = 25 Σx = 50 , Σy = 160, Σxy = 200 Pearson correlation is…

Q: Suppose X and Y are two random variables with covariance Cov(X, Y) = 3 and Var(X) = 16. Find the…

A: The correlation coefficient between two random variables X and Y is defined as:  ρ(X, Y) = Cov(X, Y)…

Q: If the variance of the sum is Var(X+Y) = 6 and Var(X) = Var(Y) = 4, then what is the correlation…

A: given data  Var(X+Y) = 6 Var(X) = Var(Y) = 4 corr(X,Y) = ?

Q: What is the Pearson's r correlation coefficient between two variables X and Y if their covariance is…

A: Given that,the covariance between X and Y is the standard deviation of X is the standard deviation…

Q: I need help on how to find and work with the Linear Correlation Coefficient (r)

A: Correlation coefficient gives us an idea about the linearship between the two variables. The formula…

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

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Q: What is the formula for calculating the correlation coefficient between two variables x and y?

A: The  and  are the two random variables.

Q: Imagine a study where all our data (x, y) falls perfectly on a flat and straight horizontal line. If…

A: Observation table: from above table we have, Sxx  = 54  Syy= 220  Sxy = 42 Correlation coefficient…

Q: Two regression lines of a sample are X+6 Y=6 and 3X+2Y=0. Find the correlation coefficient.

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Q: I would need help with find the value of the linear correlation coefficient r, please?

A: For the given data r =?

Q: Find the simple regression line y=α+βx for the pairs of points belonging to the independent and…

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Q: The command aov(x,y) can be used to calculate the correlation coefficient between x and y O True O…

A: aov(x, y) is used to find correlation between x and y  True  False

Q: Suppose the scatter diagram of a random sample of data pairs (x,y) shows no linear relationship…

A: If the value of the sample correlation coefficient is 1, then there is strong positive linear…

Q: Two random variables X = (1,2) and Y= (-2,-1] are equiprobable and independent. Determine the…

A: The two random variables are given as:X=( 1, 2) and Y=(-1, -2).

Q: Suppose Y1, Y2 and 3Y are not correlated variables, however, have the same standard deviation. Show…

A: Given  Y1 , Y2, Y3 are independent of each other.  They have same standard deviations

Q: are 2x - y - 20 efficient is

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.