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 ($) for 10 racing bikes reviewed by the magazine. t Brand Weight Price ($) FELT FS 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 ৪,600 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 2. (Round your answer to three decimal places.) Did the estimated regression equation provide a good fit? O The estimated regression equation provided a good fit, since r 2 0.55. O The estimated regression equation did not provide a good fit, since r < 0.55. O The estimated regression equation provided a good fit, since r < 0.55. O The estimated regression equation did not provide a good fit, since r 2 0.s. (c) Predict the price (in dollars) for a bike that weighs 13 pounds. (Round your answer to the nearest dollar.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter1: Expressions And Functions

Section1.5: Descriptive Modeling And Accuracy

Problem 11PPS

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Transcribed Image Text: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 ($) for 10 racing bikes reviewed by the magazine.t Brand Weight Price ($) 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 2. (Round your answer to three decimal places.) 12 = Did the estimated regression equation provide a good fit? O The estimated regression equation provided a good fit, since r2 2 0.55. O The estimated regression equation did not provide a good fit, since r2 < 0.55. O The estimated regression equation provided a good fit, since r2 < 0.55. O The estimated regression equation did not provide a good fit, since r? > 0.55. (c) Predict the price (in dollars) for a bike that weighs 13 pounds. (Round your answer to the nearest dollar.)

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