Solution Found!
Section I: Multiple Choice Select the best answer for each question. When we standardize
Chapter 3, Problem T3.8(choose chapter or problem)
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,