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Chapter 3: Q T3.7. (page 216)

When we standardize the values of a variable, the distribution of standardized values has a mean of 0 and a standard deviation of 1. Suppose we measure two variables X and Y on each of several subjects. We standardize both variables and then compute the least squares regression line. Suppose the slope of the least-squares regression line is 20.44. We may conclude that

a. the intercept will also be 鈭�0.44.

b. the intercept will be 1.0.

c. the correlation will be 1/鈭�0.44.

d. the correlation will be 1.0.

e. the correlation will also be 鈭�0.44.

Short Answer

Expert verified

The correct option is (e) the correlation will also be 鈭�0.44

Step by step solution

01

Given information

x=y=0sx=sy=1b=鈭�0.44

02

Concept

b=rsysx

03

Explanation

b=rsysxr=bsxsy=鈭�0.4411=鈭�0.44

Hence, the correct option is (e).

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