Two Variable Statistics

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 -0.19 indicate?

Back

It indicates a weak negative correlation between the two variables.

Front

What does a correlation coefficient of 0.92 indicate?

Back

It indicates a strong positive correlation between the two variables.

Front

What is a scatter plot?

Back

A graphical representation of two variables, showing the relationship between them using points.

Front

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

Back

Points that are closely clustered around a line that slopes upwards from left to right.

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

How do you determine the line of best fit?

Back

By using methods such as least squares regression to minimize the sum of the squares of the vertical distances of the points from the line.

Front

What does a weak positive correlation indicate?

Back

It indicates that as one variable increases, the other variable tends to increase slightly, but the relationship is not strong.

Front

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

Back

Front

What is the significance of a correlation coefficient of 0?

Back

It indicates no correlation between the two variables; changes in one variable do not predict changes in the other.