Two Variable Statistics

Front

What does the y-intercept represent in a linear regression model?

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero.

Front

What does a positive direction in a scatter plot indicate?

Back

A positive direction indicates that as the independent variable increases, the dependent variable also tends to increase.

Front

What is the correlation coefficient?

Back

The 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 0.94 indicate?

Back

A correlation coefficient of 0.94 indicates a very strong positive linear relationship between the two variables.

Front

What is a residual in statistics?

Back

A residual is the difference between the observed value and the predicted value in a regression analysis.

Front

How do you calculate the residual for a given data point?

Back

Residual = Observed value - Predicted value.

Front

What does a negative residual indicate?

Back

A negative residual indicates that the observed value is less than the predicted value.

Front

What is the significance of a correlation coefficient close to 1?

Back

A correlation coefficient close to 1 indicates a strong positive linear relationship between the two variables.

Front

What does a scatter plot show?

Back

A scatter plot shows the relationship between two quantitative variables, displaying individual data points.

Front

What is the purpose of linear regression?

Back

The purpose of linear regression is to model the relationship between a dependent variable and one or more independent variables.