Which of the following statements regarding regression and correlation are true? (There may be more than...

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Which of the following statements regarding regression and correlation are true? (There may be more than...

Which of the following statements regarding regression and correlation are true? (There may be more than one correct answer.)

a.	If the linear correlation between two variables is 0, then there is no relationship between the two variables.
b.	When the slope of a linear regression equation is near 0, then the linear correlation between the two variables must also be near 0.

c.	The average error between the actual values and the predicted values of a least squares line will always be near zero.

d.	A positive correlation between two variables implies the slope of the regression line will also be positive.

math Statistics-And-Probability

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Answer 1

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Answer #1

True statements are

a. If the linear correlation between two variables is 0, then there is no relationship between the two variables.

b. When the slope of a linear regression equation is near 0, then the linear correlation between the two variables must also be near zero

d. A positive correlation between two variables implies the slope of the regression line will also be positive.

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Answer 2

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