Question

What is the interpretation of the slope of the regression line?

1) The slope represents the change in the dependent variable for a one-unit increase in the independent variable.
2) The slope represents the change in the independent variable for a one-unit increase in the dependent variable.
3) The slope represents the average value of the dependent variable when the independent variable is zero.
4) The slope represents the average value of the independent variable when the dependent variable is zero.

Answer 1

The slope of a regression line indicates the average change in the dependent variable resulting from a one-unit increase in the independent variable.

Step-by-step explanation:

The interpretation of the slope of the regression line is that it represents the change in the dependent variable for a one-unit increase in the independent variable. To put it more specifically, it tells us how much the dependent variable (y) is expected to increase (or decrease in the case of a negative slope) when the independent variable (x) increases by one unit. For example, if we have a regression line that expresses the relationship between study hours (x) and exam scores (y), and the slope is 4.83, this means that for every additional hour studied, the exam score increases by 4.83 points, on average.