Q2. Given that the means of X and Y are 65 and 67, their standard deviations are 2.5 and 3.5 respectively and the coefficient of correlation between them is 0.8: (Write down the regression lines. (ii) Obtain the best estimate of X

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A: We have given that,  No. Of students (X) :- 800, 600, 900, 700, 500, 400 No. Of passed (Y) :- 480,…

Q: Here is a bivariate data set. y 53.4 78.8 59.5 54.6 56.7 70 56.1 65 58.7 46.9 52.2 86.7 66 48.5 71.6…

A: Procedure: Enter the data in the SPSS sheet. select the data then go to the analyze option. Select…

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A: In this case, Cov(X,Y) is the covariance between X and Y, sx is the standard deviation of x and sy…

Q: Here is a bivariate data set. x y 10 246 2 122 54 36 31 -27 -23 7 18 -9 -3 241

A: The table with the calculations is shown below:

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A: The formula to calculate slope of line is as follows : b1 = r×sysx

Q: Justify your answers and show calculations, if any. (i) Is a linear relationship between S1 and S2…

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A: Solution: From the given information,

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A: given   In the regression Y= B1+ B2X + B3Z+u if there is a strong linear correlation between X and…

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A: True(Verdadero). Test statistic=estimate of the variable/SE

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A: Given,σx=3.15  ,  σy=2.68∑(x-x¯)(y-y¯)=-51sample size(n)=16

Q: The following data, based on 450 students, are given for marks in Statistics and Economics at a…

A: Let X be the marks in Statistics  Y be the marks in  economics.

Q: Here is a bivariate data set. X y 47.1 59.5 47.4 64.8 68.8 7.7 56.3 39.3 45.7 41.5 45.2 58 57.5 40.5…

A: A bivariate data set is given.

Q: Here is a bivariate data set. x y 78.4 78.4 62.2 33.8 69.3 62.8 73 89.9 75.7 94.4…

A: Solution: The correlation is obtained by using excel. The function should be used in excel is…

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Q: A sample of n = 15 pairs of X and Y scores produces a Pearson correlation of r = 0.45, SSY = 90. a)…

A:

Q: State whether the following statements are true or false. A. If the level of confidence is…

A: If level Confidence increase then critical value will be increases.

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Q: Here is a bivariate data set. x y 86.2 115.8 23.3 35.9 43.4 73.6 41.2 80.5 45.6 69.4…

A:

Q: and the r = 0.6241. What is the correlation coefficient for this data set? r =

A: We have given that  The regression equation is  y^ = 70.25 + 54.57x and r2 = 0.6241

Q: If a sample of 25 pairs of data yields a correlation coefficient, r, of 0.390 and the scatterplot…

A: From the provided information, The hypotheses can be constructed as: H0: ρ = 0 (There is no…

Q: Here is a bivariate data set. y 36.2 76.3 34.3 81 26.9 77 38.9 67.2 41.9 93.1 49.6 85.3 47.2 65.7…

A:

Q: Show that the correlation coefficient between the residuals X2.13 is equal and opposite to that…

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Q: Using the regression line attached. Based on only the above plot, one can conclude:   a) height…

A: From the above data  the correct option is  a) height causes an increase in weight

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A:

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…

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A:

Q: If the correlation coefficient between number of years of experience of an employee and the monthly…

A: Given data:  r= 0.814 So coefficient of determination= (0.814)^2 = 0.6626

Q: A set of n = 11 pairs of scores (X and Y values) has SSX = 6, SSY = 55, and SP = 8. The Pearson…

A: From the provided information, Number of observations (n) = 11 SSx = 6, SSy = 55 and SP = 8

Q: Here is a bivariate data set. x y 36.7 79.3 31.4 46.9 34 79.2 43.1 71.8 32.7 65.6 27.2 58.9 45.2…

A:

Q: Here is a bivariate data set. x y 62.6 82.3 69.7 16.5 69 29.5 46.3 71.2 39.1 71.4 36.4 83.2 45.5…

A: Given X Y 62.6 82.3 69.7 16.5 69 29.5 46.3 71.2 39.1 71.4 36.4 83.2 45.5 60.2…

Q: The following estimated regression equation based on 10 observations was presented. ŷ = 23.1170 +…

A: Given information: The sample size is n = 10. The given values are as follows:

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Q: A major credit card company is interested in whether there is a linear relationship between its…

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Q: . (a) Calculate correlation and regression coefficient from the following data: 14 2 6 8 10 12 4 2 5…

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Q: The fish in my pond have mean length 14.73 inches with a standard deviation of 2.27 inches and mean…

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A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Suppose we compute a correlation coefficient between two variable of r= 0. Which of the following…

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

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Q: (c) Compute the linear correlation coefficient between the height and head circumference of a child.…

A: Provided data is ; Height(x) Head circumference(y) (xi-x¯) (yi-y¯) (xi-x¯)2 (yi -y¯)2…

Q: Suppose that you run a correlation and find the correlation coefficient is 0.338 and the regression…

A: Given regression line  Y^=-12.7+4.3*X  We want to predict the value at X=4.4

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: 1. Use the computer output to write the estimated regression equation for predicting amount of…

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

Q: The following results were obtained in a study of correlation coefficient between two variables X…

A: Answer: From the given data,

Q: Here is a bivariate data set. x -10.8 35.2 38.8 30.9 37.5 35.3 y 87.2 65.4 138.4 54 17.7 29.4 Find…

A: