Question

Choose the term that matches the following description.

A measure that shows how well data are modeled by a regression function

A)
correlation coefficient

B)
best-fit line

C)
causation

D)
residual

Answer 1

The term that matches the description is correlation coefficient.

Step-by-step explanation:

The term that matches the description of 'A measure that shows how well data are modeled by a regression function' is A) correlation coefficient.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where 1 indicates a strong positive relationship, -1 indicates a strong negative relationship, and 0 indicates no relationship.

By calculating the correlation coefficient, we can determine how well the data points fit the regression line. If the correlation coefficient is close to 1 or -1, it means the data points are closely clustered around the regression line, indicating a good fit. If the correlation coefficient is close to 0, it means the data points are scattered and do not fit the regression line well.