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 correlation mean in statistics?

Back

Correlation refers to a statistical measure that describes the extent to which two variables change together.

Front

What is the difference between causation and correlation?

Back

Causation indicates that one event is the result of the occurrence of another event, while correlation indicates a relationship between two variables without implying that one causes the other.

Front

What does a strong positive correlation look like on a scatterplot?

Back

A strong positive correlation is represented by points that are closely clustered around a line that slopes upwards from left to right.

Front

What does a weak negative correlation indicate?

Back

A weak negative correlation indicates that as one variable increases, the other variable tends to decrease, but the relationship is not strong.

Front

What is the correlation coefficient (r)?

Back

The correlation coefficient (r) is a numerical value between -1 and 1 that quantifies the strength and direction of a relationship between two variables.

Front

What does r = 0 indicate?

Back

r = 0 indicates no correlation between the two variables.

Front

How do you interpret a correlation coefficient of r = -0.3?

Back

An r value of -0.3 indicates a weak negative correlation between the two 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

What is the formula for a linear regression line?

Back

The formula for a linear regression line is typically expressed as y = mx + b, where m is the slope and b is the y-intercept.