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 ($) for 10 racing bikes reviewed by the magazine. Brand Weight Price ($) FELT F5 17.8 2,100 PINARELLO Paris 16.1 6,250 ORBEA Orca GDR 14.9 8,370 EDDY MERCKX EMX-7 15.9 6,200 BH RC1 Ultegra 17.2 4,000 BH Ultralight 386 13.1 8,600 CERVELO S5 Team 16.2 6,000 GIANT TCR Advanced 2 17.1 2,580 WILIER TRIESTINA Gran Turismo 17.6 3,400 SPECIALIZED S-works Amira SL4 14.1 8,000 a. Use the data to develop an estimated regression equation that could be used to estimate the price for a bike given the weight. (Round your numerical values to the nearest integer). b. Compute r2. (Round your answer to three decimal places.) Did the estimated regression equation provide a good fit? a. The estimated regression equation provided a good fit, since r2 ≥ 0.55. b.The estimated regression equation did not provide a good fit, since r2 < 0.55. c. The estimated regression equation provided a good fit, since r2 < 0.55. D. the estimated regression equation did not provide a good fit, since r2 ≥ 0.55. c.Predict the price (in dollars) for a bike that weighs 17 pounds. (Round your answer to the nearest dollar.)
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 ($) for 10 racing bikes reviewed by the magazine.
Brand | Weight | Price ($) |
---|---|---|
FELT F5 | 17.8 | 2,100 |
PINARELLO Paris | 16.1 | 6,250 |
ORBEA Orca GDR | 14.9 | 8,370 |
EDDY MERCKX EMX-7 | 15.9 | 6,200 |
BH RC1 Ultegra | 17.2 | 4,000 |
BH Ultralight 386 | 13.1 | 8,600 |
CERVELO S5 Team | 16.2 | 6,000 |
GIANT TCR Advanced 2 | 17.1 | 2,580 |
WILIER TRIESTINA Gran Turismo | 17.6 | 3,400 |
SPECIALIZED S-works Amira SL4 | 14.1 | 8,000 |
a.
Use the data to develop an estimated regression equation that could be used to estimate the price for a bike given the weight. (Round your numerical values to the nearest integer).
b. Compute r2.
(Round your answer to three decimal places.)
c.Predict the price (in dollars) for a bike that weighs 17 pounds. (Round your answer to the nearest dollar.)
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