Linear Regression

Front

What is Linear Regression?

Back

A statistical method used to model the relationship between a dependent variable and one or more independent variables.

Front

What does a correlation coefficient (r) of -0.89 indicate?

Back

Strong negative correlation.

Front

What is a scatter plot?

Back

A graphical representation showing the relationship between two quantitative variables.

Front

What does a positive correlation mean?

Back

As one variable increases, the other variable also increases.

Front

What does a negative correlation mean?

Back

As one variable increases, the other variable decreases.

Front

What is the purpose of a trend line in a scatter plot?

Back

To show the general direction of the data points and to help make predictions.

Front

What does a correlation coefficient (r) of 0 indicate?

Back

No correlation between the variables.

Front

How can you predict values using a trend line?

Back

By extending the trend line to estimate the value of the dependent variable for a given independent variable.

Front

What is the difference between strong and weak correlation?

Back

Strong correlation means the data points are close to the trend line, while weak correlation means they are more spread out.

Front

What is the formula for a simple linear regression line?

Back

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