Linear Regression Practice

Front

What is linear regression?

Back

Linear regression is 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 does a positive correlation indicate in a scatter plot?

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 scatter plot?

Back

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

Front

What does 'no correlation' mean in the context of a scatter plot?

Back

'No correlation' means there is no discernible relationship between the two variables; changes in one do not predict changes in the other.

Front

What is the formula for a linear regression line?

Back

Front

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

Back

The slope (m) represents the change in the dependent variable (y) for a one-unit increase in the independent variable (x).

Front

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

Back

The y-intercept (b) is the value of the dependent variable (y) when the independent variable (x) is zero.

Front

What does the term 'scatter plot' refer to?

Back

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

Front

What is the purpose of calculating the linear regression equation from data?

Back

The purpose is to find the best-fitting line that describes the relationship between the variables, allowing for predictions and analysis.

Front

What does the correlation coefficient (r) indicate?

Back

The correlation coefficient (r) indicates the strength and direction of a linear relationship between two variables, ranging from -1 to 1.