Correlation & Linear Regression

Front

What is correlation?

Back

Correlation is a statistical measure that describes the extent to which two variables change together. It can be positive, negative, or zero.

Front

What does a correlation coefficient (r) of 0.3 indicate?

Back

A correlation coefficient of 0.3 indicates a weak positive correlation between the two variables.

Front

What does a correlation coefficient (r) of -0.98 indicate?

Back

A correlation coefficient of -0.98 indicates a strong negative correlation between the two variables.

Front

What is a scatter plot?

Back

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

Front

What does a positive relationship in a scatter plot mean?

Back

A positive relationship means that as one variable increases, the other variable also tends to increase.

Front

What does a negative relationship in a scatter plot mean?

Back

A negative relationship means that as one variable increases, the other variable tends to decrease.

Front

What does it mean if there is no relationship in a scatter plot?

Back

If there is no relationship, the points on the scatter plot do not show any discernible pattern or trend.

Front

How can you determine the strength of a correlation?

Back

The strength of a correlation can be determined by the absolute value of the correlation coefficient (r). Values closer to 1 or -1 indicate stronger correlations.

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 is the purpose of the line of best fit in linear regression?

Back

The line of best fit minimizes the distance between the line and all the data points, providing the best estimate of the relationship between the variables.