4.3 Correlation Coefficient

Front

What is the correlation coefficient?

Back

The correlation coefficient is a statistic that measures the strength and direction of a linear association between two quantitative variables.

Front

What does a correlation coefficient of 0 indicate?

Back

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

Front

What does a positive correlation coefficient signify?

Back

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

Front

What does a negative correlation coefficient signify?

Back

A negative correlation coefficient signifies that as one variable increases, the other variable tends to decrease.

Front

What is the range of values for the correlation coefficient?

Back

The correlation coefficient ranges from -1 to +1.

Front

What does a correlation coefficient of +1 indicate?

Back

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

Front

What does a correlation coefficient of -1 indicate?

Back

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

Front

What is the meaning of r² in correlation analysis?

Back

r², or the coefficient of determination, indicates the proportion of variance in the dependent variable that can be explained by the independent variable.

Front

If r² = 0.46, what does this imply about the data?

Back

If r² = 0.46, it implies that 46% of the variance in the dependent variable is explained by the independent variable, indicating a moderate relationship.

Front

What does a weak positive correlation look like on a scatter plot?

Back

A weak positive correlation on a scatter plot shows points that are loosely clustered around an upward sloping line.