Guess the Correlation and Association

Front

What is a negative association in the context of variables?

Back

A negative association occurs when one variable increases while the other variable decreases. For example, as the number of miles driven increases, the amount of gas remaining in the tank decreases.

Front

What is a positive association in the context of variables?

Back

A positive association occurs when both variables increase or decrease together. For example, as years of education increase, annual income tends to increase.

Front

What does a correlation coefficient of r = 0.89 indicate?

Back

A correlation coefficient of r = 0.89 indicates a strong positive correlation between the two variables, meaning they have a strong tendency to increase together.

Front

What type of correlation exists between outside temperature and the amount of layers worn?

Back

There is a negative correlation; as the outside temperature increases, the amount of layers worn typically decreases.

Front

What does it mean when 'as x increases, y decreases'?

Back

This indicates a negative correlation, meaning that there is an inverse relationship between the two variables.

Front

What is the range of possible values for a correlation coefficient?

Back

The correlation coefficient ranges from -1 to +1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and +1 indicates a perfect positive correlation.

Front

How can scatter plots be used to visualize the relationship between two variables?

Back

Scatter plots display individual data points on a two-dimensional graph, allowing for visual assessment of the type and strength of the relationship between the variables.

Front

What is the difference between correlation and causation?

Back

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

Front

What does a correlation coefficient of r = 0 indicate?

Back

A correlation coefficient of r = 0 indicates no correlation between the two variables, meaning changes in one variable do not predict changes in the other.

Front

What is the significance of a strong correlation in data analysis?

Back

A strong correlation suggests a reliable relationship between the variables, which can be useful for predictions and understanding trends.