3-8 Linear Regressions and Scatterplots

Front

What is a positive correlation?

Back

A positive correlation is a relationship between two variables where an increase in one variable leads to an increase in the other variable.

Front

What is a negative correlation?

Back

A negative correlation is a relationship between two variables where an increase in one variable leads to a decrease in the other variable.

Front

What does no correlation mean?

Back

No correlation means there is no relationship between two variables; changes in one variable do not affect the other.

Front

What is a scatterplot?

Back

A scatterplot is a graph that displays values for typically two variables for a set of data, showing how much one variable is affected by another.

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

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 equation of a linear regression line?

Back

The equation of a linear regression line is typically written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the purpose of linear regression?

Back

The purpose of linear regression is to model the relationship between two variables and make predictions based on that relationship.

Front

What does it mean if a scatterplot shows a strong correlation?

Back

A strong correlation in a scatterplot indicates that the points are closely clustered around a line, suggesting a strong relationship between the two variables.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation indicates that one variable directly affects the other.