Two random variables have the regression equations : 3 X+ 2Y- 26 = 0 6X+ Y- 31 = 0 Find the mean value and the coefficient of correlation between X and Y. If the variable of X= 25, find the standard deviation of Y from the data given above.

Q: 3. Two variables, xx and yy, have a correlation of 0.75. If xx has a mean of 25 and a standard…

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Q: 1. What is the value of the correlation between Academic Performance and Digital Literacy? A. r =…

A: The provided information is  Academic Performance (x) Digital Literacy store (y) xy x2 y2 87 91…

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Q: Two lines of regression are given by 5x+7y-22=0 and 6x+2y-22=0. If the variance of y is 15, find the…

A: Given: 5x+7y-22=0 6x+2y-22=0 V(y) = σx2= 15 Now, the regression equation y on x is, y = -3x + 11  x…

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Q: If the coefficient of determination is equal to 1, then the correlation coefficient is a.

A: Given : The coefficient of determination is equal to 1

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Q: Suppose that you run a correlation and find the correlation coefficient is -0.256 and the regression…

A: Given regression equation is ˆy=−5.8x+56.92 If x= 5.4 y=?

Q: A researcher is interested in comparing the effectiveness of three popular diets for weightloss: The…

A: A researcher is interested in comparing the effectiveness of three popular diets for weightloss and…

Q: 1. What is the value of the correlation between Academic Performance and Digital Literacy? A.…

A: Given that, A researcher is exploring the relationship of academic performance of students in an…

Q: Consider the following population regression model: Yi = Bo + B1D1i + B2Dzi + B3(D1¡D21) + uj,…

A: Given: the following population regression model: Y;= Bo + B1D1i +B2D2i+ B3(D1iP2i) + uj,, i = 1,…

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Q: Find the equation of the least-squares regression line ý and the linear correlation coefficient r…

A: Given data is(3,-1)(6,-4)(7,-6)(8,-10)(9,-13) x y 3 -1 6 -4 7 -6 8 -10 9 -13

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A: It is given that, the pdf of a random variable is given by f(y)=1/10, -5&lt;y&lt;5

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A: (1) To prove β^1=rSyySxx The general form of regression equation is Y=β0+β1X+ε By minimizing the…

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Q: Find the equation of the least-squares regression line ŷ and the linear correlation coefficient r…

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Q: 1. What is the value of the correlation between Academic Performance and Digital Literacy? A.…

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

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A: a) Here, cars sales at last month is the depending variable(Y) and advertising (X1) and sales force…

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Q: The following data relate to the marks of 10 students in the internal test and the university…

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Q: Suppose the simple linear regression model, Y; = Bo + B1 xi + E;, is used to explain the…

A: Simple linear regression model is given by yi=β0 + β1 xi+εi The simple linear regression model is…

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Q: Find the equation of the least-squares regression line ŷ and the linear correlation coefficient r…

A: Solution-: We find, (a) The equation of the least-squares regression line                 (b) The…

Q: In the simple linear regression Y = 20 5X, if the coefficient of determination is 0.8, then the…

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Q: 12) Use computer software to find the best multiple regression equation to explain the variation in…

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Q: A simple linear regression analysis based on a data set that consists of 20 observations yielded the…

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Q: (1) Write out the regression equation  (2) What is the sample size used in this investigation?  (3)…

A: 1) From the output, the coefficient of constant is 42.085

Q: Find the equation of the least-squares regression line ŷ and the linear correlation coefficient r…

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Q: 6.In simple linear regression, the sample correlation coefficient between the input variable and the…

A: Answer : Option A

Q: Suppose that you run a correlation and find the correlation coefficient is 0.421 and the regression…

A: The correlation coefficient is 0.421 and the critical value is 0.396.

Q: Find out the regression coefficients of Y on X and X on Y from the following data: ΣΧ= 50, X= 5 , Σ…

A: It is given that variance of X is 4 and the variance of Y is 9.

Q: In a simple linear regression model, B1 has important relationships with a sample correlation…

A: 1. Consider, the regression equation is, Y=β0+β1X+ε By minimizing the least squares equation,…

Q: Consider the following correlations -0.9 , -0.5 , -0.2 , 0 , 0.2 , 0.5 and 0.9. For each give the…

A: Given, the correlations -0.9 , -0.5 , -0.2 , 0 , 0.2 , 0.5  and 0.9. We need to calculate the…

Q: Assume the random variable X has a standard deviation of 4, the random variable Y has a standard…

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Q: 1. What is the value of the correlation between Academic Performance and Digital Literacy? A. r =…

A: Given data is

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A: Men,x 59.7 72.9 41.9 46.2 50.3 43.2 Men,y 63.8 77.8 44.5 48.3 54 43.5