In a linear regression model, what does the slope of the regression line represent?
Practice Questions
1 question
Q1
In a linear regression model, what does the slope of the regression line represent?
The predicted value of the dependent variable
The change in the dependent variable for a one-unit change in the independent variable
The correlation between the independent and dependent variables
The intercept of the regression line
The slope indicates how much the dependent variable is expected to increase or decrease as the independent variable increases by one unit.
Questions & Step-by-step Solutions
1 item
Q
Q: In a linear regression model, what does the slope of the regression line represent?
Solution: The slope indicates how much the dependent variable is expected to increase or decrease as the independent variable increases by one unit.
Steps: 7
Step 1: Understand that a linear regression model is used to predict a value based on another value.
Step 2: Identify the two types of variables: the dependent variable (what you want to predict) and the independent variable (the one you use for prediction).
Step 3: The regression line is a straight line that best fits the data points on a graph.
Step 4: The slope of the regression line is a number that shows the relationship between the independent variable and the dependent variable.
Step 5: If the slope is positive, it means that as the independent variable increases, the dependent variable also increases.
Step 6: If the slope is negative, it means that as the independent variable increases, the dependent variable decreases.
Step 7: Specifically, the slope tells you how much the dependent variable is expected to change when the independent variable increases by one unit.
