Correlation and Residuals

Front

What is correlation?

Back

Correlation is a statistical measure that describes the extent to which two variables change together. A positive correlation means that as one variable increases, the other also increases, while a negative correlation means that as one variable increases, the other decreases.

Front

What does a positive correlation indicate?

Back

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

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot. It is used to make predictions about the relationship between the variables.

Front

What is a residual in regression analysis?

Back

A residual is the difference between the observed value and the predicted value from a regression line. It indicates how far off a prediction is from the actual data point.

Front

How do you calculate a residual?

Back

Residual = Observed value - Predicted value.

Front

What does a negative correlation indicate?

Back

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

Front

What is the purpose of linear regression?

Back

The purpose of linear regression is to model the relationship between two variables by fitting a linear equation to the observed data.

Front

What is causation?

Back

Causation indicates that one event is the result of the occurrence of another event. It implies a direct cause-and-effect relationship.

Front

Give an example of causation.

Back

An example of causation is: 'The car ran out of gas, which caused it to be stranded on the side of the road.'

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.