Match the step numbers to the steps to review determining if the data on the graph forms a linear or non-linear association.

Answer 1

To review whether the data on a graph forms a linear or non-linear association, you can follow these general steps. Here’s how you might match step numbers with their corresponding steps:

1. Step 1: Observe the Graph
   Look at the overall shape of the data points plotted on the graph. Are they forming a straight line or do they curve?

2. Step 2: Check for a Straight-Line Fit
   Attempt to draw a straight line through the data points. If most points fall near this line, it suggests a linear relationship.

3. Step 3: Examine for Patterns
   If the data points create a pattern that curves or bends (e.g., quadratic or exponential), it suggests a non-linear relationship.

4. Step 4: Calculate Correlation Coefficient (if applicable)
   Calculate the correlation coefficient (e.g., Pearson’s r) to quantify the degree of linear relationship; values close to 1 or -1 indicate a linear association.

5. Step 5: Residual Analysis
   Analyze the residuals (the differences between observed and predicted values) for a linear regression model; random residuals indicate a linear relationship, while patterns suggest non-linearity.

6. Step 6: Conclusion
   Based on your observations, discussions, and statistical analyses, conclude whether the data shows a linear or non-linear association.

If you need specific step numbers matched to certain steps or a different structure, please let me know!