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ISYE 6402 Final - Part 1 2025/2026 Exam Questions and Verified Answers | Already Graded A+

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ISYE 6402 Final - Part 1 2025/2026 Exam Questions and Verified Answers | Already Graded A+ If the time series YtYt can be represented as trend plus Gaussian white noise with Yt=βt+ϵtYt=βt+ϵt , then its expectation is E( Yt ) = β. -

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ISYE 6402 Final - Part 1 2025/2026 Exam
Questions and Verified Answers |
Already Graded A+



If the time series YtYt can be represented as trend plus Gaussian white noise with

Yt=βt+ϵtYt=βt+ϵt , then its expectation is E( Yt ) = β. - 🧠 ANSWER ✔✔False. It

would be E(Yt) = E(βt) + E(εt) = βt + 0.

If {Xt} is a stationary process, then its autocorrelation function has an expected

value of 0 for lag values greater than 0. - 🧠 ANSWER ✔✔True


A time series generally can be decomposed into three components mt, st and Xt.

Where mt is the trend, st is the seasonality, and Xt is a residual time process after

accounting for trend and seasonality. - 🧠 ANSWER ✔✔True


Var(X+Y)=Var(X)+Var(Y) for any X and Y variables. - 🧠 ANSWER ✔✔FALSE

(The statement would only be true if you knew the two variables were

independent.)

If the mean of a time series doesn't depend on time t, then the time series is

stationary. - 🧠 ANSWER ✔✔False. (While constant mean is a necessary condition

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