Correlation

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 the range of the correlation coefficient (r)?

Back

The correlation coefficient (r) ranges from -1 to 1, inclusive. This means -1 ≤ r ≤ 1.

Front

What does a correlation coefficient of r = 1 indicate?

Back

A correlation coefficient of r = 1 indicates a perfect positive linear relationship between two variables.

Front

What does a correlation coefficient of r = -1 indicate?

Back

A correlation coefficient of r = -1 indicates a perfect negative linear relationship between two variables.

Front

What does a correlation coefficient of r = 0 indicate?

Back

A correlation coefficient of r = 0 indicates no linear relationship between the two variables.

Front

How do you interpret a correlation coefficient of r ≈ 0.8?

Back

A correlation coefficient of r ≈ 0.8 indicates a strong positive linear correlation between the two variables.

Front

How do you interpret a correlation coefficient of r ≈ -0.8?

Back

A correlation coefficient of r ≈ -0.8 indicates a strong negative linear correlation between the two variables.

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables, where each point represents an observation. It helps visualize the relationship between the variables.

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatter plot. It minimizes the distance between the line and all the data points.

Front

What is the formula for the line of best fit in linear regression?

Back

The formula for the line of best fit is typically expressed as y = mx + b, where m is the slope and b is the y-intercept.