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. Vehicles parked (thousands) Hour of the day 9 A.M 11 A.M 6.3 7.4 1 P.M 7.5 3 P.M 6.5 5 P.M. 3.9 (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.) V = X (b) Express using functional notation the number of vehicles parked on a typical Friday at 2 P.M., and then estimate that value. (Round your answer to two decimal places.) 14 X thousand (c) At what time of day is the number of vehicles parked at its greatest? 12:26 A.M O 12:04 P.M. 10:04 A.M. 2:26 P.M. 10:04 P.M.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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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.
Vehicles parked
(thousands)
Hour of the day
9 A.M
11 A.M
6.3
7.4
1 P.M
7.5
3 P.M
6.5
5 P.M.
3.9
(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.)
V =
X
(b) Express using functional notation the number of vehicles parked on a typical Friday at 2 P.M., and then estimate that
value. (Round your answer to two decimal places.)
14
X thousand
(c) At what time of day is the number of vehicles parked at its greatest?
12:26 A.M
O 12:04 P.M.
10:04 A.M.
2:26 P.M.
10:04 P.M.
Transcribed Image Text: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. Vehicles parked (thousands) Hour of the day 9 A.M 11 A.M 6.3 7.4 1 P.M 7.5 3 P.M 6.5 5 P.M. 3.9 (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.) V = X (b) Express using functional notation the number of vehicles parked on a typical Friday at 2 P.M., and then estimate that value. (Round your answer to two decimal places.) 14 X thousand (c) At what time of day is the number of vehicles parked at its greatest? 12:26 A.M O 12:04 P.M. 10:04 A.M. 2:26 P.M. 10:04 P.M.
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