If a Simple Linear Regression Model Is Developed Based on a Sample

question 126

True/False

If a simple linear regression model is developed based on a sample where the independent and dependent variables are known to be negatively related, then the sum of squares for error will be negative also.

---

Definitions:

Coefficient Of Correlation

A measure that calculates the strength and direction of a linear relationship between two variables, represented as 'r'.

Dependent Variable

In an experiment or model, it is the variable being tested and measured, which is expected to change as a result of changes in the independent variable(s).

Independent Variable

A variable in an experiment or statistical model that is manipulated or controlled by the experimenter to observe its effect on a dependent variable.

SSE

Sum of Squared Errors; a measure of the discrepancy between the data and an estimation model.