Scatterplots and Linear Regression

Front

What is a scatterplot?

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 line of best fit represent in a scatterplot?

Back

A line of best fit is a straight line that best represents the data points in a scatterplot, indicating the trend of the relationship between the variables.

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

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

Back

The slope indicates the rate of change of the dependent variable for each unit change in the independent variable.

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

What is the formula for a linear equation in slope-intercept form?

Back

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

Front

How can you predict values using a linear regression equation?

Back

You can predict values by substituting the independent variable into the linear regression equation to calculate the corresponding dependent variable.

Front

What does a positive correlation in a scatterplot indicate?

Back

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

Front

What does a negative correlation in a scatterplot indicate?

Back

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

Front

What is the purpose of calculating a line of best fit?

Back

The purpose is to summarize the relationship between variables and make predictions based on the data.