With a smoothing constant of a = .2, equation (17.2) shows that the forecast for week 13of the gasoline sales data from table 17.1 is given by F13 = .2Y12 + .8F12. however, theforecast for week 12 is given by F12 = .2Y11 + .8F11. thus, we could combine these tworesults to show that the forecast for week 13 can be writtenF13 5 .2Y12 1 .8(.2Y11 1 .8F11) 5 .2Y12 1 .16Y11 1 .64Y11 1 .64F11a. Making use of the fact that F11 = .2Y10 + .8F10 (and similarly for F10 and F9), continueto expand the expression for F13 until it is written in terms of the past data values Y12,Y11, Y10, Y9, Y8, and the forecast for period 8.

With a smoothing constant of a = .2, equation (17.2) shows that the forecast for week 13of the gasoline sales data from table 17.1 is given by F13 = .2Y12 + .8F12. however, theforecast for week 12 is given by F12 = .2Y11 + .8F11. thus, we could combine these tworesults to show that the forecast for week 13 can be writtenF13 5 .2Y12 1 .8(.2Y11 1 .8F11) 5 .2Y12 1 .16Y11 1 .64Y11 1 .64F11a. Making use of the fact that F11 = .2Y10 + .8F10 (and similarly for F10 and F9), continueto expand the expression for F13 until it is written in terms of the past data values Y12,Y11, Y10, Y9, Y8, and the forecast for period 8.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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