4.he sample correlation coefficient between X and Y, rxy Sx/Sx S where S-the covariance between X...
4 a) Suppose Y X.Show in a diagram this function. What will be the correlation coefficient between X and Y? b)i) If the covariance between two variables is nogative, the correlation coefficient must be positive. True or False? ) If the covariance between two variables is zero. what does it suggest?
If the sample correlation coefficient is rxy = +0.65, then which of the following is correct? For every 1 standard deviation increase in X, Y fell by 0.65 standard deviations on average. 65% of the variation of Y was related to X. 0 For every 1 standard deviation increase in X, Y rose by 0.65 standard deviations on average. 0 For every 1 unit increase in X, Y increased by 0.35 units. 0 65% of the variation of X was...
A covariance coefficient is bounded between 1 and -1. True or False? A correlation of 1.0 means that a scatterplot of X and Y would result in all the values falling on a straight, downward sloping line. True or False?
x 7 10 8 4 3 y 8 11 9 5 4 a. Calculate the covariance between the variables. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.) b-1. Calculate the correlation coefficient. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.) b-2. Interpret the correlation coefficient. There is _____ no, a weak negative, a weak positive, a strong...
Find the covariance and correlation coefficient for the following sets of data. Select the answers equal to or closest to your results. X: 50 44 47 40 54 Y: 10 13 95 7 Cov What does each measure tell you? Check all that apply. The covariance tells you that there is a weak or nonexistent linear relationship between X and Y The covariance and correlation coefficient tell you that there is a positive linear relationship between X and Y. The...
Given a correlation coefficient (r) of 0.7216, mean of x-bar = 140.5, standard deviation of x (sx) = 6.4, mean of y-bar = 128.3, and standard deviation of y (sy) = 8.2. Find the slope of the regression line. Find the y-intercept of the line. Write the equation of the line.
Q. 34 Part A. Using the dataset below, calculate the covariance and correlation coefficient between X and Y. For ease, copy and paste the dataset onto your spreadsheet. X Y 21 35 24 27 23 31 30 38 22 36 18 40 20 37 26 28 a.) Covariance = 5.71. Correlation coefficient = -0.32 b.) Covariance = -5. Correlation coefficient = -0.32 c.) Covariance = -5.71. Correlation coefficient = -0.32 d.) None of the above Part B. Refer to the...
b) Show that x, -x)-o a) Suppose Y =-X . Show in a diagram this function, what will be the correlation coefficient between X and Y? 4 the correlation coefficient must b) i) If the covariance between two variables is be positive. True or False? suggest? i) If the covariance between two variables is zero, what does it 5 a) Define mutually exclusive events and independent events bi) For two events A and B (which are not mutually exclusive) complete...
Positive values of covariance indicate Select one: a positive vaffance of the x values O b. a positive variance of the y values C. the standard deviation is positive a positive relation between the x and te y variables The correlation coefficient Select one: is the same as the covariance cannot be negative C. can be larger than 1 cannot be larger than 1
Let ρ represent the true population coefficient of correlation of two variables X and Y . Suppose you want to test the hypothesis that ρ = 0. Explain how you would test this hypothesis. [Hint: by the relationship between b1 and rXY ]