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 a positive correlation indicate in a scatterplot?

Back

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

Front

What does a negative correlation indicate in a scatterplot?

Back

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

Front

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

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope in a linear regression equation?

Back

The slope in a linear regression equation represents the rate of change of the dependent variable for each unit change in the independent variable.

Front

What is the y-intercept in a linear regression equation?

Back

The y-intercept in a linear regression equation is the value of the dependent variable when the independent variable is zero.

Front

How do you interpret the slope of the equation y = 1.5x + 12?

Back

In the equation y = 1.5x + 12, the slope of 1.5 means that for every one unit increase in x, y increases by 1.5 units.

Front

What is the purpose of finding the line of best fit?

Back

The purpose of finding the line of best fit is to create a linear model that best represents the relationship between the variables in a dataset.

Front

How can you predict future values using a linear regression equation?

Back

You can predict future values by substituting the desired value of the independent variable into the linear regression equation.

Front

What does it mean if there is no correlation in a scatterplot?

Back

If there is no correlation in a scatterplot, it means that there is no discernible relationship between the two variables.