Correlation Coefficient Practice

Front

What is a 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 1 indicate?

Back

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

Front

What does a correlation coefficient of -1 indicate?

Back

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

Front

What does a correlation coefficient of 0 indicate?

Back

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

Front

What is the line of best fit?

Back

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

Front

How do you interpret a correlation coefficient of 0.85?

Back

It indicates a strong positive correlation between the two variables.

Front

What does a correlation coefficient of -0.89 suggest about the data?

Back

It suggests a strong negative correlation, meaning as one variable increases, the other decreases.

Front

What is the formula for calculating the correlation coefficient (r)?

Back

r = (nΣxy - ΣxΣy) / sqrt[(nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2)] where n is the number of pairs.

Front

What is the significance of the slope in the line of best fit equation?

Back

The slope indicates the rate of change of the dependent variable (y) for each unit change in the independent variable (x).

Front

What does it mean if the correlation coefficient is close to 0?

Back

It means there is little to no linear relationship between the two variables.