1.An ad for a weight-loss drug claims that clinical trials show that their drug was highly effective, when combined with a program of exercise and healthy diet. Does this convince you the drug works? Explain.

2.Discuss the relationship between causation and correlation. Provide examples of variables that are positively correlated but for which causation is in doubt.

3.Does the perimeter of a rectangle determine its area? The question can be asked the other way around: Does the area of a rectangle determine its perimeter? What if it's a square? Explain your answer and include examples.

4.How is the volume of a box affected if the sides change by the same factor? First determine what happens if all the sides are doubled. Then consider what happens if all the sides are multiplied by 3, 4, ... Exercise 20 in Section 9.2 is relevant to this topic.