Question: A chemist conducts an experiment to determine the effectiveness of different amounts of a certain chemical compound. The scatter plot shows the data from 15 trials of the experiment. Chemical Experiment Percent Effectiveness Amount of Chemical Compound (grams) 0 1 2 3 4 5 6 7 8 9 10 5 10 15 20 25 30 35 40 Which two statements best describe the data? A. The data shows a linear association. B. The data shows a nonlinear association. C. The effectiveness of the data at 10 grams of the compound is an outlier for the data. D. The data shows that the chemical compound is not effective for amounts greater than 6 grams. E. The data shows an increase in effectiveness by the chemical compound as the amount is increased from 1 gram to 6 grams.

1. **State the problem:** We need to analyze the scatter plot data from 15 trials to determine which two statements best describe the data about the effectiveness of a chemical compound at different amounts. 2. **Analyze the data trend:** The scatter plot shows points trending upward initially and then leveling off. 3. **Interpret the association:** - A linear association means the data points roughly form a straight line. - A nonlinear association means the data points curve or change slope. 4. **Check for outliers:** An outlier is a point that is far away from the general pattern. 5. **Evaluate effectiveness at different amounts:** - From 1 gram to 6 grams, the effectiveness increases. - After 6 grams, the effectiveness levels off, indicating no significant increase. 6. **Conclusion:** - The data shows a nonlinear association because it trends upward then levels off, so statement B is true. - The effectiveness increases from 1 gram to 6 grams, so statement E is true. 7. **Check other statements:** - A is false because the association is not linear. - C is false because the 10 grams point is not an outlier; it fits the leveling off trend. - D is false because the compound is effective up to 6 grams and then levels off, not ineffective. **Final answer:** The two best statements are **B** and **E**.