Pearson's Correlation Coefficient Review

Front

What is Pearson's Correlation Coefficient?

Back

A statistical measure that calculates the strength and direction of the linear relationship between two variables.

Front

What does a coefficient of determination (R²) of 0.876 indicate?

Back

It indicates that 87.6% of the variation in the dependent variable can be explained by the independent variable.

Front

True or False: Correlation applies to both quantitative and categorical data.

Back

False

Front

What does a positive correlation coefficient indicate?

Back

It indicates that as one variable increases, the other variable tends to also increase.

Front

What is the purpose of a scatter plot?

Back

To visually display the relationship between two quantitative variables.

Front

What is interpolation in the context of data analysis?

Back

Predicting a value within the range of observed data points.

Front

What is extrapolation in the context of data analysis?

Back

Predicting a value outside the range of observed data points.

Front

In the linear regression equation y = 61.93x - 1.79, what does the slope represent?

Back

The slope (61.93) represents the change in the dependent variable for each one-unit change in the independent variable.

Front

What is the line of best fit?

Back

A straight line that best represents the data on a scatter plot, minimizing the distance between the line and all data points.

Front

What does it mean if two variables have a strong negative correlation?

Back

It means that as one variable increases, the other variable tends to decrease.