Linear Regression Flashcard

Front

What is the linear regression equation for the given data?

Back

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

Front

What does the slope (m) represent in a linear regression equation?

Back

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a one-unit increase in x.

Front

What does the y-intercept (b) represent in a linear regression equation?

Back

The y-intercept (b) is the value of y when x is 0. It represents the starting point of the line on the y-axis.

Front

What is the formula for linear regression?

Back

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot. It minimizes the distance between the line and all the data points.

Front

What is the purpose of calculating the correlation coefficient?

Back

The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1.

Front

What does a correlation coefficient of r = 1 indicate?

Back

A correlation coefficient of r = 1 indicates a perfect positive linear relationship between the two variables.

Front

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

Back

A correlation coefficient of r = -1 indicates a perfect negative linear relationship between the two variables.

Front

What does a correlation coefficient of r ≈ 0 indicate?

Back

A correlation coefficient of r ≈ 0 indicates no linear relationship between the two variables.

Front

How do you interpret a correlation coefficient of r ≈ 0.8?

Back

A correlation coefficient of r ≈ 0.8 indicates a strong positive linear relationship between the two variables.