Simple Linear Regression Quiz

What is the primary purpose of simple linear regression?

• To find the average of two variables

• To understand the relationship between two variables

• To calculate the median of a dataset

• To determine the mode of a dataset

In a simple linear regression, what is the dependent variable?

• The variable used for prediction

• The variable that is predicted

• The variable that is ignored

• The variable that remains constant

What is the first step in calculating a simple linear regression?

• Finding the median

• Calculating the mean

• Collecting data

• Drawing a scatter plot

What does the slope in a linear regression equation represent?

• The average of the dependent variable

• The total error in the model

• The change in the dependent variable for a one-unit change in the independent variable

• The point where the line crosses the X-axis

How is the intercept in a linear regression equation defined?

• The point where the line crosses the X-axis

• The point where the line crosses the Y-axis

• The average of the independent variable

• The total error in the model

What does a small P-value indicate in regression analysis?

• A need to collect more data

• A large error in the model

• A significant relationship between variables

• No relationship between variables

Which assumption is NOT a key assumption in linear regression?

• Linearity

• Independence of errors

• Homoscedasticity

• Non-linearity

What does homoscedasticity refer to in linear regression?

• Normal distribution of errors

• Equal variance of errors across all values of the independent variable

• A linear relationship between variables

• Independence of errors

Which plot is commonly used to check for normal distribution of errors?

• Pie chart

• QQ plot

• Bar chart

• Scatter plot

What is the purpose of the Durban Watson test in regression analysis?

• To determine the mode

• To check for linearity

• To calculate the mean

• To test for autocorrelation in residuals