$$\text { Consider the AR(1) model } Y _ { t } = \beta _ { 0 } + \beta _ { 1 } Y _ { t - 1 } + u _ { t } , \left| \beta _ { 1 } \right| < 1 \text {.. }$$

question 33

Essay

$$\text { Consider the AR(1) model } Y _ { t } = \beta _ { 0 } + \beta _ { 1 } Y _ { t - 1 } + u _ { t } , \left| \beta _ { 1 } \right| < 1 \text {.. }$$ (a) $\text { Find the mean and variance of } Y _ { t } \text {. }$

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Definitions:

Experimenter

An individual who conducts research or experiments, typically in a scientific context, to test hypotheses and draw conclusions.

Manipulated

In experimental research, refers to the intentional changing or altering of the independent variable to observe its effect on the dependent variable.

Control Group

In experimental research, a group of subjects that does not receive the treatment or experimental condition and is used as a benchmark to measure how the other tested subjects do.

Aggressively

Behavior characterized by assertiveness, boldness, or combativeness, often with the intent to dominate or control.