Correlation Coefficient

Front

What is the correlation coefficient?

Back

A statistical measure that describes the strength and direction of a relationship between two variables, ranging from -1 to 1.

Front

What does a correlation coefficient of r=1 indicate?

Back

A perfect positive correlation, meaning as one variable increases, the other variable also increases.

Front

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

Back

A perfect negative correlation, meaning as one variable increases, the other variable decreases.

Front

What does a correlation coefficient of r=0 indicate?

Back

No correlation, meaning there is no predictable relationship between the two variables.

Front

What is a line of best fit?

Back

A straight line that best represents the data on a scatter plot, used to predict values.

Front

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

Back

Negative correlation; as temperature increases, the number of layers worn typically decreases.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a positive correlation look like on a graph?

Back

A trend where points slope upwards from left to right, indicating that as one variable increases, the other also increases.

Front

What does a negative correlation look like on a graph?

Back

A trend where points slope downwards from left to right, indicating that as one variable increases, the other decreases.

Front

What is the purpose of calculating the correlation coefficient?

Back

To quantify the degree to which two variables are related, helping to understand their relationship.