Linear Regression & Correlation Coefficient

Front

What is the range of the correlation coefficient 'r'?

Back

-1 ≤ r ≤ 1

Front

What does a correlation coefficient of r = -1 indicate?

Back

Perfect negative correlation between two variables.

Front

What does a correlation coefficient of r = 1 indicate?

Back

Perfect positive correlation between two variables.

Front

What does a correlation coefficient of r = 0 indicate?

Back

No correlation between two variables.

Front

What is the purpose of linear regression?

Back

To model the relationship between a dependent variable and one or more independent variables.

Front

What is the equation of a linear regression line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you interpret the slope (m) in a linear regression equation?

Back

The slope indicates the change in the dependent variable for a one-unit change in the independent variable.

Front

What is a scatter plot?

Back

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

Front

What does a scatter plot with points closely clustered around a line indicate?

Back

A strong correlation between the two variables.

Front

What is the best fit line in a scatter plot?

Back

A line that minimizes the distance between itself and all the points in the scatter plot.