Mountain bikes that cost less than $1000 now contain many of the high-quality components that until recently were only available on high-priced models. Today, even sub-$1000 models often offer supple...

Mountain bikes that cost less than $1000 now contain many of the high-quality components that until recently were only available on high-priced models. Today, even sub-$1000 models often offer supple suspensions, clip less pedals, and highly engineered frames. An interesting question is whether higher price still buys a higher level of handling, as measured by the bike’s sidetrack capability. To measure sidetrack capability,Outside Magazineused a rating scale from 1 to 5, with 1 representing an average rating and 5 representing an excellent rating. The sidetrack capability and the price for 10 mountain bikes tested byOutside Magazinefollow (Outside Magazine Buyer’s Guide,2001).

a. Develop a scatter diagram for these data with sidetrack capability as the independent variable.

b. Does it appear that higher-priced models have a higher level of handling? Explain.

c. Develop the least squares estimated regression equation.

d. What is the estimated price for a mountain bike if it has a sidetrack capability rating of 4?