Regression Review

Front

What is the linear regression equation?

Back

A linear regression equation is a mathematical representation of the relationship between two variables, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you predict values using a linear regression equation?

Back

To predict values, substitute the independent variable (x) into the linear regression equation and solve for the dependent variable (y).

Front

What does the slope in a linear regression equation represent?

Back

The slope represents the rate of change of the dependent variable (y) for each unit change in the independent variable (x).

Front

What is the y-intercept in a linear regression equation?

Back

The y-intercept is the value of y when x is 0, indicating where the line crosses the y-axis.

Front

What is a correlation coefficient?

Back

A correlation coefficient is 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 -0.75 indicate?

Back

A correlation coefficient of -0.75 indicates a strong negative correlation, meaning as one variable increases, the other variable tends to decrease.

Front

What is the difference between linear and exponential regression?

Back

Linear regression models a straight-line relationship, while exponential regression models a relationship where the rate of change increases or decreases exponentially.

Front

How can you identify an exponential regression model from a scatter plot?

Back

An exponential regression model typically shows a curve that rises or falls sharply, indicating rapid growth or decay.

Front

What is the general form of an exponential regression equation?

Back

The general form of an exponential regression equation is Y = a(b^x), where a is a constant and b is the base of the exponential function.

Front

What does the term 'exponential growth' mean?

Back

Exponential growth refers to an increase that occurs at a rate proportional to the current value, leading to rapid increases over time.