linear regression

Front

What is linear regression?

Back

A statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.

Front

What does the slope in a linear regression equation represent?

Back

The slope indicates the change in the dependent variable for each one-unit change in the independent variable.

Front

What is the equation of a linear regression line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a positive correlation indicate in a scatter plot?

Back

As one variable increases, the other variable also tends to increase.

Front

What does a negative correlation indicate in a scatter plot?

Back

As one variable increases, the other variable tends to decrease.

Front

What does it mean if a scatter plot shows no relationship?

Back

There is no discernible pattern or correlation between the two variables.

Front

How do you interpret the y-intercept in a linear regression equation?

Back

The y-intercept is the value of the dependent variable when the independent variable is zero.

Front

What is the purpose of using linear regression?

Back

To make predictions about the dependent variable based on the values of the independent variable(s).

Front

What is the significance of the R-squared value in linear regression?

Back

R-squared indicates the proportion of variance in the dependent variable that can be explained by the independent variable(s).

Front

How can you determine if a linear regression model is a good fit?

Back

By analyzing the residuals, R-squared value, and checking for patterns in the scatter plot.