Question

Which of the following is not a characteristic of the least-squares regression line?

A) Minimizes the sum of the squared differences between observed and predicted values
B) Passes through the mean of both the independent and dependent variables
C) Maximizes the correlation coefficient between the variables
D) Guarantees that all data points fall exactly on the line

Answer 1

The characteristic that is not part of the least-squares regression line is that it guarantees that all data points fall exactly on the line.

Step-by-step explanation:

The characteristic that is not part of the least-squares regression line is D) Guarantees that all data points fall exactly on the line.

The least-squares regression line aims to minimize the sum of the squared differences between observed and predicted values, which is the SSE.

It passes through the mean of both the independent and dependent variables, and maximizes the correlation coefficient between the variables. However, it does not guarantee that all data points fall exactly on the line.