Algebra 1 4.7 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 rate of change of the dependent variable for each unit change in the independent variable.

Front

What is the equation of a line in slope-intercept form?

Back

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

Front

What is the y-intercept in a linear equation?

Back

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 data points.

Front

What does it mean if the slope of a linear regression line is negative?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

What is the purpose of linear regression analysis?

Back

The purpose of linear regression analysis is to predict the value of a dependent variable based on the value(s) of one or more independent variables.

Front

What is the formula for the linear regression equation?

Back

Front

How do you interpret the slope of a linear regression equation?

Back

The slope indicates how much the dependent variable is expected to increase (or decrease) for each one-unit increase in the independent variable.