Lesson 10.2 Modeling Linear Associations Solutions Page 103

Identify the correct equation for the relationship between the two variables by plotting data points and fitting the most suitable line. Focus on identifying trends and checking for consistency in results. Ensure that your line accurately reflects the points and does not overestimate or underestimate values.

Calculate slope and intercept using the formula. The slope represents the rate of change between the two variables, while the intercept indicates where the line crosses the axis. Use these to derive the final equation for the best fit line.

Assess the goodness of fit by reviewing the residuals–differences between the observed and predicted values. Small residuals suggest a better fit. If the residuals appear large or inconsistent, reconsider your model choice and check for errors in calculation or assumptions.

Check for outliers that may distort the results. Outliers can heavily influence the slope and intercept, leading to incorrect conclusions. Always verify that the data set does not contain anomalies that affect the accuracy of your model.