Bicycling, the world’s leading cycling magazine, reviews hundreds of bicycles throughout the year. Their “Road-Race” category contains reviews of bikes used by riders primarily interested in racing. One of the most important factors in selecting a bike for racing is the weight of the bike. The following data show the weight (pounds) and price () for racing bikes reviewed by the magazine (Bicycling website). The datafile logo. Brand Weight Price ($) FELT F5 17.8 2100 PINARELLO Paris 16.1 6250 ORBEA Orca GDR 14.9 8370 EDDY MERCKX EMX-7 15.9 6200 BH RC1 Ultegra 17.2 4000 BH Ultralight 386 13.1 8600 CERVELO S5 Team 16.2 6000 GIANT TCR Advanced 2 17.1 2580 WILIER TRIESTINA Gran Turismo 17.6 3400 SPECIALIZED S-Works Amira SL4 14.1 8000 a. Use the data to develop an estimated regression equation that could be used to estimate the price for a bike given the weight. If required, enter negative values as negative numbers. price + weight (to whole number) b. Compute R^2 (to 3 decimals) c. Predict the price for a bike that weighs 15 pounds. $ (to whole number)
Bicycling, the world’s leading cycling magazine, reviews hundreds of bicycles throughout the year. Their “Road-Race” category contains reviews of bikes used by riders primarily interested in racing. One of the most important factors in selecting a bike for racing is the weight of the bike. The following data show the weight (pounds) and price () for racing bikes reviewed by the magazine (Bicycling website).
Brand | Weight | Price ($) |
FELT F5 | 17.8 | 2100 |
PINARELLO Paris | 16.1 | 6250 |
ORBEA Orca GDR | 14.9 | 8370 |
EDDY MERCKX EMX-7 | 15.9 | 6200 |
BH RC1 Ultegra | 17.2 | 4000 |
BH Ultralight 386 | 13.1 | 8600 |
CERVELO S5 Team | 16.2 | 6000 |
GIANT TCR Advanced 2 | 17.1 | 2580 |
WILIER TRIESTINA Gran Turismo | 17.6 | 3400 |
SPECIALIZED S-Works Amira SL4 | 14.1 | 8000 |
a. Use the data to develop an estimated regression equation that could be used to estimate the price for a bike given the weight. If required, enter negative values as negative numbers.
price + weight (to whole number)
b. Compute R^2
(to 3 decimals)
c. Predict the price for a bike that weighs 15 pounds.
$ (to whole number)
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