Elliptical trainers are becoming one of the more popular exercise machines. Their smooth and steady low-impact motion makes them a preferred choice for individuals with knee and ankle problems. But selecting the right trainer can be a difficult process. Price and quality are two important factors in any purchase decision. Are higher prices generally associated with higher quality elliptical trainers? Consumer Reports conducted extensive tests to develop an overall rating based on ease of use, ergonomics, construction, and exercise range. The following data show the price and rating for eight elliptical trainers tested (Consumer Reports, February 2008).

a. Develop a scatter diagram with price as the independent variable.
b. An exercise equipment store that sells primarily higher priced equipment has a sign over the display area that says "Quality: You Get What You Pay For." Based upon your analysis of the data for ellipical trainers, do you think this sign fairly reflects the pricequality relationship for elliptical trainers?
c. Use the least squares method to develop the estimated regression equation.
d. Use the estimated regression equation to predict the rating for an ellipitical trainer with a price of $1500.

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Brand and Model Price () Rating 3700 2500 2800 1900 1000 800 1700 600 87 84 82 74 Precor 5.31 Keys Fitness CG2 Octane Fitness Q376e LifeFitness X1 Basic NordicTrack AudioStrider 990 Schwinn 430 Vision Fitness X6100 ProForm XP 520 Razor 69 68