Question
The National Highway Association is studying the relationship between the number of bidders on a highway project and the winning (lowest) bid for the project.
The National Highway Association is studying the relationship between the number of bidders on a highway project and the winning (lowest) bid for the project. Of particular interest is whether the number of bidders increases or decreases the amount of the winning bid. |
Project | Number of Bidders, X | Winning Bid ($ millions), Y | Project | Number of Bidders, X | Winning Bid ($ millions), Y | |||
1 | 9 | 5.1 | 9 | 6 | 10.3 | |||
2 | 9 | 8.0 | 10 | 6 | 8.0 | |||
3 | 3 | 9.7 | 11 | 4 | 8.8 | |||
4 | 10 | 7.8 | 12 | 7 | 9.4 | |||
5 | 5 | 7.7 | 13 | 7 | 8.6 | |||
6 | 10 | 5.5 | 14 | 7 | 8.1 | |||
7 | 7 | 8.3 | 15 | 6 | 7.8 | |||
8 | 11 | 5.5 | ||||||
Click here for the Excel Data File
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Calculate the following from the table given above. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) |
n | |
X | |
X2 | |
Y | |
Y2 | |
XY | |
syx | |
b | |
a | |
a-1. | Determine the regression equation. (Negative values should be indicated by a minus sign. Round your answers to 4 decimal places.) |
yy^ | = | + | X |
a-2. | Choose the correct option. |
More bidders tend to (Click to select) increase decrease the amount of the winning bid. |
b. | Estimate the amount of the winning bid if there were seven bidders. (Round your answer to 4 decimal places.) |
Estimated Amount |
c. | A new entrance is to be constructed on the Ohio Turnpike. There are seven bidders on the project. Develop a 95% prediction interval for the winning bid. (Round your answers to 4 decimal places.) |
The 95 percent prediction interval for the winning bid is up to . |
d-1. | Determine the coefficient of determination. (Round your answer to 3 decimal places.) |
Coefficient of determination |
d-2. | The number of bidders explains nearly 50% of the variation in the amount of the bid. State True or False. |
multiple choice 2
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