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.)

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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.)

 

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