Suggest a Transformation in the Variables That Will Linearize the Deterministic

question 43

Essay

Suggest a transformation in the variables that will linearize the deterministic part of the population regression functions below. Write the resulting regression function in a form that can be estimated by using OLS.
(a)Y_i = β₀
$X _ { 1 i } ^ { \beta _ { 1 } }$ $x _ { 2 i } ^ { \beta _ { 2 } }$ (b)Y_i = $\frac { X _ { i } } { \beta _ { 0 } + \beta _ { 1 } X _ { i } }$ (c)Y_i = $\frac { e ^ { \beta _ { 0 } + \beta _ { 1 } X _ { 1 } } } { 1 + e ^ { \beta _ { 0 } + \beta _ { 1 } X _ { 1 } } }$ (d)Y_i = β₀
$X _ { 1 i } ^ { \beta _ { 1 } }$ ${ e } ^ { \beta _ { 2 } \beta _ { 2 } X _ { 2 i } }$

---

Definitions:

Cognitive

Relating to cognition, involving the processes of thinking, understanding, learning, and remembering.

Activation-synthesis

A theory of dreaming that states dreams are created by the higher centers of the cortex to explain the activation by the brain stem of cortical cells during REM sleep periods.

Narcolepsy

A chronic sleep disorder characterized by overwhelming daytime drowsiness and sudden attacks of sleep, often linked to a deficiency in the brain's regulation of wakefulness.

Muscle Paralysis

The loss of muscle function in part of your body, which can be a complete or partial inability to move muscles.