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 its weight. The following data show the weight (pounds) and price ($) for 10 racing bicycles reviewed by the magazine. Model Weight (Ib) Price ($) Model 1 17.8 2,100 Model 2 16.2 6,250 Model 3 14.9 8,570 Model 4 16.0 6,400 Model 5 17.2 4,200 Model 6 13.2 8,800 Model 7 16.2 6,200 Model 8 17.2 2,780 Model 9 17.6 3,400 Model 10 14.2 8,000 (a) Develop a scatter chart with weight as the independent variable. What does the scatter chart indicate about the relationship between the weight and price of these bicycles? O The scatter chart indicates there may be no noticeable linear relationship between weight and price. O The scatter chart indicates there may be a positive linear relationship between weight and price. O The scatter chart indicates there may be a negative linear relationship between weight and price.

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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Please correct my answers for b and c with explanation. Need to understand for exam, thanks!
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 its weight. The following data show the weight (pounds) and price
($) for 10 racing bicycles reviewed by the magazine.
Model
Weight (Ib)
Price ($)
Model 1
17.8
2,100
Model 2
16.2
6,250
Model 3
14.9
8,570
Model 4
16.0
6,400
Model 5
17.2
4,200
Model 6
13.2
8,800
Model 7
16.2
6,200
Model 8
17.2
2,780
Model 9
17.6
3,400
Model 10
14.2
8,000
(a) Develop a scatter chart with weight as the independent variable. What does the scatter chart indicate about the relationship between the weight and
price of these bicycles?
O The scatter chart indicates there may be no noticeable linear relationship between weight and price.
O The scatter chart indicates there may be a positive linear relationship between weight and price.
O The scatter chart indicates there may be a negative linear relationship between weight and price.
Transcribed Image Text: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 its weight. The following data show the weight (pounds) and price ($) for 10 racing bicycles reviewed by the magazine. Model Weight (Ib) Price ($) Model 1 17.8 2,100 Model 2 16.2 6,250 Model 3 14.9 8,570 Model 4 16.0 6,400 Model 5 17.2 4,200 Model 6 13.2 8,800 Model 7 16.2 6,200 Model 8 17.2 2,780 Model 9 17.6 3,400 Model 10 14.2 8,000 (a) Develop a scatter chart with weight as the independent variable. What does the scatter chart indicate about the relationship between the weight and price of these bicycles? O The scatter chart indicates there may be no noticeable linear relationship between weight and price. O The scatter chart indicates there may be a positive linear relationship between weight and price. O The scatter chart indicates there may be a negative linear relationship between weight and price.
(a) Develop a scatter chart with weight as the independent variable. What does the scatter chart indicate about the relationship between the weight and
price of these bicycles?
O The scatter chart indicates there may be no noticeable linear relationship between weight and price.
O The scatter chart indicates there may be a positive linear relationship between weight and price.
O The scatter chart indicates there may be a negative linear relationship between weight and price.
(b) Use the data to develop an estimated regression equation that could be used to estimate the price in dollars (y) for a bicycle, given its weight (x) in
pounds. What is the estimnated regression model? (Round your numerical values to two decimal places.)
= 29500 –1484.7x
(c) Test whether the regression parameter fo is equal to zero at a 0.05 level of significance.
Find the p-value. (Round your answer to four decimal places.)
p-value = 7.9399
Transcribed Image Text:(a) Develop a scatter chart with weight as the independent variable. What does the scatter chart indicate about the relationship between the weight and price of these bicycles? O The scatter chart indicates there may be no noticeable linear relationship between weight and price. O The scatter chart indicates there may be a positive linear relationship between weight and price. O The scatter chart indicates there may be a negative linear relationship between weight and price. (b) Use the data to develop an estimated regression equation that could be used to estimate the price in dollars (y) for a bicycle, given its weight (x) in pounds. What is the estimnated regression model? (Round your numerical values to two decimal places.) = 29500 –1484.7x (c) Test whether the regression parameter fo is equal to zero at a 0.05 level of significance. Find the p-value. (Round your answer to four decimal places.) p-value = 7.9399
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