Is there a relationship between the weight of a mountain bike and its price? A lighter bike is often preferred, but do lighter bikes tend to be more expensive? The following table, from the Mountain Bike data file on the text CD, gives data on price, weight, and type of suspension (FU = full, FE = front end) for 12 brands.

a. You are shopping for a new bike. You are interested in whether and how weight affects the price. Which variable is the logical choice for the (i) explanatory variable, (ii) response variable?
b. Construct a scatterplot of price and weight. Does the relationship seem to be approximately linear? In what way does it deviate from linearity?
c. Use your software to verify that the correlation equals -0.32. Interpret it in context. Does weight appear to affect the price strongly in a linear manner?

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Mountain Bikes Price( Weight(LB) Type Brand and Model Trek VRX 200 Cannondale Super V400 GT XCR-4000 Specialized FSR Trek 6500 Specialized Rockhop Haro Escape A7.1 Giant Yukon SE Mongoose SX 6.5 Diamondback Sorrento Motiv Rockridge Huffy Anorak 36789 32 31 1000 1100 940 1100 700 600 30 29 28 29 29 30 FE 450 FE FE FE FE 180 140 34 37