Correlation & Linear Regression

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 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 does a positive correlation indicate?

Back

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

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 does a correlation coefficient (r) of 1 mean?

Back

A correlation coefficient (r) of 1 indicates a perfect positive correlation between two variables.

Front

What does a correlation coefficient (r) of -1 mean?

Back

A correlation coefficient (r) of -1 indicates a perfect negative correlation between two variables.

Front

What does a correlation coefficient (r) of 0 mean?

Back

A correlation coefficient (r) of 0 indicates no correlation between the two variables.

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What is the range of correlation coefficients?

Back

The range of correlation coefficients is from -1 to 1.

Front

What is the purpose of a scatter plot?

Back

A scatter plot is used to visually represent the relationship between two quantitative variables, helping to identify any correlation.

Front

What does a strong negative correlation look like on a scatter plot?

Back

A strong negative correlation on a scatter plot appears as points that are closely clustered around a downward-sloping line.