Linear Regressions and Scatterplots

Front

What is a 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 a scatterplot represent?

Back

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

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

Back

No correlation means that there is no discernible relationship between the two variables; changes in one do not predict changes in the other.

Front

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

Back

Front

How do you find the slope of a line given two points?

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 scatterplot, minimizing the distance between the line and all the points.

Front

How can you use a linear regression equation to make predictions?

Back

You can substitute a value of the independent variable into the linear regression equation to calculate the predicted value of the dependent variable.

Front

What is the y-intercept in a linear equation?

Back