Regressions and Correlations

Front

What is the definition of correlation in statistics?

Back

Correlation is a statistical measure that describes the strength and direction of a relationship between two variables.

Front

What does a negative correlation indicate?

Back

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

Front

What is the range of correlation coefficients?

Back

The range of correlation coefficients is from -1 to +1.

Front

What does an r value of 0 indicate about the relationship between two variables?

Back

An r value of 0 indicates no correlation between the two variables.

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.

Front

What is the formula for a linear regression equation?

Back

The formula for a linear regression equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you calculate the predicted value in a linear regression?

Back

To calculate the predicted value, substitute the independent variable's value into the linear regression equation.

Front

What is a residual in the context of regression analysis?

Back

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

Front

What is the least squares regression line (LSRL)?

Back

The least squares regression line (LSRL) is the line that minimizes the sum of the squares of the residuals.

Front

What does the slope of a regression line represent?

Back

The slope of a regression line represents the change in the dependent variable for a one-unit change in the independent variable.