Question

Assuming a linear relationship between X and Y, if the coefficient of correlation (r) equals −0.75,...

  1. Assuming a linear relationship between X and Y, if the coefficient of correlation (r) equals −0.75, this means that:

a.

there is very weak correlation.

b.

the slope b1 is = −0.75.

c.

the value of X is always greater than the value of Y.

d.

None of these choices are true.

  1. Which of the following is a property of the slope, b1?

a.

The slope equals one if X and Y have the same variance.

b.

The slope has the same sign as r, the coefficient of correlation.

c.

The slope equals one if r equals one.

d.

All of these choices are true.

  1. Consider the following data:

x

9

6

7

5

8

y

19

14

16

12

15

Calculate the covariance and the coefficient of correlation for the sample.

0.716

0.816

0.916

0.998

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