Assessing the Goodness of Fit of a Regression Line Involves

question 22

Essay

Assessing the goodness of fit of a regression line involves considering different information, and no single characteristic of data is sufficient for a good assessment. Consider the characteristics below. How does each contribute to an assessment of fit? That is, for each piece of information, what about it would indicate a "good" best-fit line?
a) The shape of the scatter plot
b) The correlation coefficient
c) The standard deviation of the residuals
d) The coefficient of determination

---

Definitions:

Generalizing Findings

the process of applying the results or conclusions from a specific study to larger populations or different contexts beyond the original scope of the research.

Internal Validity

The degree to which the changes in the dependent variable of an experiment are a result of the manipulation of the independent variable. If no alternative explanations are possible, the experiment has strong internal validity.

External Validity

The generalizability of the findings in an investigation, or the degree to which the findings apply to other individuals in other settings.