The table below shows the number, in thousands, of vehicles parked in the central business district of a certain city on a typical Friday as a function of the hour of the day. Hour of the day Vehicles parked (thousands) 9 A.M. 6.1 11 A.M. 7.4 1 P.M. 7.5 3 P.M. 6.5 5 P.M. 3.8 (a) Use regression to find a quadratic model for the data. (Let V be the number of vehicles and t be the time in hours since midnight.
The table below shows the number, in thousands, of vehicles parked in the central business district of a certain city on a typical Friday as a function of the hour of the day. Hour of the day Vehicles parked (thousands) 9 A.M. 6.1 11 A.M. 7.4 1 P.M. 7.5 3 P.M. 6.5 5 P.M. 3.8 (a) Use regression to find a quadratic model for the data. (Let V be the number of vehicles and t be the time in hours since midnight.
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 18T
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Question
The table below shows the number, in thousands, of vehicles parked in the central business district of a certain city on a typical Friday as a function of the hour of the day.
Hour of the day | Vehicles parked (thousands) |
---|---|
9 A.M. | 6.1 |
11 A.M. | 7.4 |
1 P.M. | 7.5 |
3 P.M. | 6.5 |
5 P.M. | 3.8 |
(a) Use regression to find a quadratic model for the data. (Let V be the number of vehicles and t be the time in hours since midnight. Round the regression parameters to three decimal places.)
(b) Express using functional notation the number of vehicles parked on a typical Friday at 4 P.M., and then estimate that value. (Round your answer to two decimal places.)
V =
(b) Express using functional notation the number of vehicles parked on a typical Friday at 4 P.M., and then estimate that value. (Round your answer to two decimal places.)
V
=
=
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