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?

  • CreatedSeptember 11, 2015
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