FLASHCARD - Regression (Linear, Quadratic, Exponential

Front

What is linear regression?

Back

A statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.

Front

What is the equation of a linear function?

Back

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

Front

What does the slope of a line represent in linear regression?

Back

The slope indicates the rate of change of the dependent variable for each unit change in the independent variable.

Front

What is the correlation coefficient?

Back

A numerical measure of the strength and direction of the relationship between two variables, denoted by 'r'.

Front

What does a positive correlation indicate?

Back

As one variable increases, the other variable also tends to increase.

Front

What is quadratic regression?

Back

A type of regression analysis used to model the relationship between a dependent variable and an independent variable using a quadratic equation.

Front

What is the general form of a quadratic equation?

Back

y = ax^2 + bx + c, where a, b, and c are constants.

Front

What is exponential regression?

Back

A type of regression analysis used to model data that grows or decays at a constant percentage rate.

Front

What is the general form of an exponential function?

Back

y = ab^x, where a is a constant, b is the base of the exponential, and x is the exponent.

Front

How do you determine the type of regression to use?

Back

By analyzing the pattern of the data points; linear for straight patterns, quadratic for U-shaped patterns, and exponential for rapid growth or decay.