Scatterplots and correlation coefficient

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

What does a positive correlation indicate in a scatterplot?

Back

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

Front

What does a negative correlation indicate in a scatterplot?

Back

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

Front

What is the correlation coefficient (r)?

Back

The correlation coefficient (r) is a statistical measure that describes the strength and direction of a relationship between two variables.

Front

What is the range of the correlation coefficient?

Back

The correlation coefficient ranges from -1 to 1.

Front

What does an r value of 0 indicate?

Back

An r value of 0 indicates no correlation between the two variables.

Front

What does an r value close to 1 indicate?

Back

An r value close to 1 indicates a strong positive correlation between the two variables.

Front

What does an r value close to -1 indicate?

Back

An r value close to -1 indicates a strong negative correlation between the two variables.

Front

How do you interpret the slope in a linear equation?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.