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



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


Click on the datafile logo to reference the data.



































































Model

Weight (lb)

Price ($)
Fierro 7B17.92,200
HX 500016.26,350
Durbin Ultralight15.08,470
Schmidt16.06,300
WSilton Advanced17.34,100
Bicyclette vélo13.28,700
Supremo Team16.36,100
XTC Racer17.22,680
D'Onofrio Pro17.73,500
Americana #614.28,100



































































































(a)
Choose a scatter chart below with weight as the independent variable.





















(i)



(ii)



(iii)



(iv)



- Select your answer -Chart (i)Chart (ii)Chart (iii)Chart (iv)Item 1
What does the scatter chart indicate about the relationship between the weight and price of these bicycles?
The scatter chart indicates there may be a- Select your answer -positivenegativeItem 2linear relationship between weight and price.

(b)
Use the data to develop an estimated regression equation that could be used to estimate the price for a bicycle given its weight. What is the estimated regression model?
Letxrepresent the bicycle weight.
If required, round your answers to two decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)

=+x

(c)
Test 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 will not be graded, but may be reviewed and considered by your instructor.

(d)
How much of the variation in the prices of the bicycles in the sample does the regression model you estimated in part (b) explain?
If required, round your answer to two decimal places.
%

(e)
The manufacturers of the D'Onofrio Pro plan to introduce the 16 lb D'Onofrio Elite bicycle later this year. Use the regression model you estimated in part (b) to predict the price of the D'Ononfrio Elite.
If required, round your answer to the nearest whole number. Do not round intermediate calculations.
$

Nov 14, 2021
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