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2. Using the estimated cosine trend on page 192 in the textbook: (a) Forecast the average monthly temperature in Dubuque, Iowa, for April 1976. (b) Find a 95% prediction interval for that April forecast. (The estimate of √√ for this model is 3.719°F.) 1 (c) What is the forecast for April, 1977? For April 2009?

2. Using the estimated cosine trend on page 192 in the textbook: (a) Forecast the average monthly temperature in Dubuque, Iowa, for April 1976. (b) Find a 95% prediction interval for that April forecast. (The estimate of √√ for this model is 3.719°F.) 1 (c) What is the forecast for April, 1977? For April 2009?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2. Using the estimated cosine trend on page 192 in the textbook: (a) Forecast the average monthly temperature in Dubuque, Iowa, for April 1976. (b) Find a 95% prediction interval for that April forecast. (The estimate of √ for this model is 3.719°F.) 1 (c) What is the forecast for April, 1977? For April 2009?
Transcribed Image Text:2. Using the estimated cosine trend on page 192 in the textbook: (a) Forecast the average monthly temperature in Dubuque, Iowa, for April 1976. (b) Find a 95% prediction interval for that April forecast. (The estimate of √ for this model is 3.719°F.) 1 (c) What is the forecast for April, 1977? For April 2009?
The cosine trend model for the average monthly temperature series was estimated in Chapter 3 on page 35 as Ĥ₂ = 46.2660 + (-26.7079) cos(2ñt) + (-2.1697) sin (2πt) Here time is measured in years with a starting value of January 1964, frequency f= 1 per year, and the final observed value is for December 1975. To forecast the June 1976 tem- perature value, we use t = 1976.41667 as the time value and obtain
Transcribed Image Text:The cosine trend model for the average monthly temperature series was estimated in Chapter 3 on page 35 as Ĥ₂ = 46.2660 + (-26.7079) cos(2ñt) + (-2.1697) sin (2πt) Here time is measured in years with a starting value of January 1964, frequency f= 1 per year, and the final observed value is for December 1975. To forecast the June 1976 tem- perature value, we use t = 1976.41667 as the time value and obtain
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