Bicycling World a Magazine Devoted to Cycling Reviews Hundreds of Bicycles Throughout the Year

Bicycling World, a mag devoted to cycling, reviews hundreds of bicycles throughout the year. Its "Road-Race" category contains reviews of bicycles used by riders primarily interested in...

Bicycling Globe,a magazine devoted to cycling, reviews hundreds of bicycles throughout the year. Its "Route-Race" category contains reviews of bicycles used by riders primarily interested in racing. One of the virtually important factors in selecting a bicycle for racing is the weight of the bicycle. The following data evidence the weight (pounds) and price ($) for 10 racing bicycles reviewed by the magazine.

Click on the datafile logo to reference the information.

Model Weight (lb) Price ($)
Fierro 7B 17.9 2,200
HX 5000 xvi.2 half dozen,350
Durbin Ultralight 15.0 8,470
Schmidt xvi.0 vi,300
WSilton Avant-garde 17.three 4,100
Bicyclette vélo 13.ii 8,700
Supremo Team sixteen.3 half dozen,100
XTC Racer 17.two 2,680
D'Onofrio Pro 17.seven 3,500
Americana #6 fourteen.2 8,100
(a) Choose a scatter chart below with weight as the independent variable.
- Select your answer -Chart (i)Chart (ii)Chart (three)Chart (4)Item 1
What does the scatter chart betoken most the human relationship between the weight and price of these bicycles?
The scatter chart indicates in that location may exist a- Select your answer -positivenegativeItem 2linear human relationship between weight and price.
(b) Use the data to develop an estimated regression equation that could be used to estimate the cost for a bicycle given its weight. What is the estimated regression model?
Letxrepresent the cycle weight.
If required, circular your answers to two decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the bare. (Example: -300)
=+x
(c) Exam whether each of the regression parametersβ0andβ1is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable?
The input in the box below volition not be graded, but may be reviewed and considered past your instructor.
(d) How much of the variation in the prices of the bicycles in the sample does the regression model you lot estimated in part (b) explain?
If required, round your reply to ii decimal places.
%
(e) The manufacturers of the D'Onofrio Pro programme to introduce the xvi lb D'Onofrio Elite bicycle after this year. Utilize the regression model you estimated in part (b) to predict the toll of the D'Ononfrio Elite.
If required, circular your answer to the nearest whole number. Do not round intermediate calculations.
$

Nov 14, 2021

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