Which mountain bike to buy? 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 book’s website, gives data on price, weight, and type of suspension 1FU = full, FE = front end2 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 Brand and Model Price($) Weight(LB) Trek VRX 200 1000 Cannondale Super V400 1100 GT XCR-4000 940 Specialized FSR 1100 Trek 6500 700 Specialized Rockhop 600 Haro Escape A7.1 440 Giant Yukon SE 450 Mongoose SX 6.5 550 Diamondback Sorrento 340 Motiv Rockridge 180 23 3 3 3 2 3 FU 31 FU 34 FU 30 FU 29 FE 28 FE 29 FE 29 FE 30 FE 33 FE 34 FE Huffy Anorak 36789 140 37 FE