Correlation Coefficient

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 1 indicate?

Back

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

Front

What does a correlation coefficient of -1 indicate?

Back

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

Front

What does a correlation coefficient of 0 indicate?

Back

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

Front

How do you interpret a correlation coefficient of 0.99?

Back

A correlation coefficient of 0.99 indicates a very strong positive linear relationship between the two variables.

Front

How do you interpret a correlation coefficient of -0.92?

Back

A correlation coefficient of -0.92 indicates a very strong negative linear relationship between the two variables.

Front

What is a regression equation?

Back

A regression equation is a mathematical representation of the relationship between a dependent variable and one or more independent variables, typically in the form y = Ax + B.

Front

What does the 'A' represent in the regression equation y = Ax + B?

Back

In the regression equation, 'A' represents the slope of the line, indicating how much the dependent variable changes for a one-unit change in the independent variable.

Front

What does the 'B' represent in the regression equation y = Ax + B?

Back

In the regression equation, 'B' represents the y-intercept, which is the value of y when x is 0.

Front

How do you calculate the slope (A) in a regression equation?

Back

The slope (A) can be calculated using the formula A = (nΣxy - ΣxΣy) / (nΣx^2 - (Σx)^2), where n is the number of data points.