The position of a particle x(t) on an axis has been monitored. The results are shown in the following table. By the least squares method, fit the data to a quadratic model: Report the position predicted by the model for t = 10.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The position of a particle x(t) on an axis has been monitored. The results are shown in the following table.

By the least squares method, fit the data to a quadratic model:


Report the position predicted by the model for t = 10.

Se ha monitoreado la posición de una partícula x(t) sobre un eje. Los
resultados se muestran en la siguiente tabla.
t
0
1
6
8
x(t)
5
12
14
14
Por el método de mínimos cuadrados, ajuste los datos a un modelo
cuadrático:
x (t) = a + bt + ct²
Reporte la posición pronosticada por el modelo para t = 10
Transcribed Image Text:Se ha monitoreado la posición de una partícula x(t) sobre un eje. Los resultados se muestran en la siguiente tabla. t 0 1 6 8 x(t) 5 12 14 14 Por el método de mínimos cuadrados, ajuste los datos a un modelo cuadrático: x (t) = a + bt + ct² Reporte la posición pronosticada por el modelo para t = 10
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