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Section I: Multiple Choice Select the best answer for each question. When we standardize

Chapter 3, Problem T3.8

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QUESTION:

When we standardize the values of a variable, the distribution of standardized values has mean 0 and standard deviation 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 \(-0.44\). We may conclude that

(a) the intercept will also be \(-0.44\).

(b) the intercept will be 1.0.

(c) the correlation will be \(1 /-0.44\).

(d) the correlation will be 1.0.

(e) the correlation will also be \(-0.44\).

Questions & Answers

QUESTION:

When we standardize the values of a variable, the distribution of standardized values has mean 0 and standard deviation 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 \(-0.44\). We may conclude that

(a) the intercept will also be \(-0.44\).

(b) the intercept will be 1.0.

(c) the correlation will be \(1 /-0.44\).

(d) the correlation will be 1.0.

(e) the correlation will also be \(-0.44\).

ANSWER:

Step 1 of 2

Given,

The mean of variable X,

The mean of variable Y,

The standard deviation of variable X,

The standard deviation of variable Y,

The slope of the least-squares regression line,

 

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