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)

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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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)

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