linear regression

Front

What is linear regression?

Back

Linear regression is 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 of a linear regression line represent?

Back

The slope of a linear regression line represents the change in the dependent variable for each one-unit change in the independent variable.

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

What does a strong positive correlation indicate?

Back

A strong positive correlation indicates that as one variable increases, the other variable also tends to increase.

Front

What does a strong negative correlation indicate?

Back

A strong negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatter plot, minimizing the distance between the line and all the points.

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 a trend line in a scatter plot?

Back

A trend line helps to visualize the overall direction of the data points and can be used to make predictions.

Front

What does it mean if the correlation coefficient (r) is -0.86?

Back

An r value of -0.86 indicates a strong negative correlation between the two variables.

Front

How can you predict a value using linear regression?

Back

To predict a value using linear regression, substitute the independent variable's value into the linear equation to find the corresponding dependent variable's value.