The following scatter plot charts the relationship between Variables X, Y and Z

Question

The following scatter plot charts the relationship between Variables X, Y and Z What do the plots imply about the linear relationship between variables X and Y? The covariance between Variables X and Y is 5. What does this imply about the direction of their linear relationship? The correlation coefficient for Variables X and Y is -.73. What does this imply about the direction and strength of their linear relationship? The correlation coefficient for Variables X and Z is 0. What does this imply about the strength and direction of their linear relationship? Suppose that variables Y and Z have a positive covariance. Draw a sample scatter diagram that shows what type of linear relationship would exist between them.

Explanation / Answer

a) The first plot show linear relationship is roughly linear, but there is no linear relationship among the variables in second plot.

b) Above average values of one variable isassociated with below average values of another variable.

c) There is moderate negative linear relationship.

d) There is week relationship among the variables.

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