1. A meteorologist has collected the data about the diameter of hailstones in inches, d, and the speed at which they fall in miles per hour, s. The resulting line of best fit for the data set is s=7.62+29.6d. What is the predicted speed for a hailstone with a diameter of 5 inches? Round to the nearest whole number.

2. A real estate agent has developed a linear model for the price of a house, P, in dollars in terms of the area, A, in square feet for the homes in a certain neighborhood. The equation is P=88,000+62.5A. What is the predicted price for a home that is 3,200 square feet? Round to the nearest dollar.

3. A linear model has the equation y=10.4−0.25x. What is the residual for a point (6,9.2)?

4. What are the requirements for an experiment to be able to show that changes in one variable cause changes in another?