A Polynomial Regression Model Is Specified As: A $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 2 } X _ { i } ^ { 2 } + \cdots + \beta _ { r } X _ { i } ^ { r } + u _ { i }$

question 39

Short Answer

A polynomial regression model is specified as: a. $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 2 } X _ { i } ^ { 2 } + \cdots + \beta _ { r } X _ { i } ^ { r } + u _ { i }$ .
b. $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 1 } ^ { 2 } X _ { i } + \cdots + \beta _ { 1 } ^ { r } X _ { i } + u _ { i }$ .
c. $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 2 } Y _ { i } ^ { 2 } + \cdots + \beta _ { r } Y _ { i } ^ { r } + u _ { i }$ .
d. $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { 1 i } + \beta _ { 2 } X _ { 2 } + \beta _ { 3 } \left( X _ { 1 i } \times X _ { 2 i } \right) + u _ { i }$ .

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Definitions:

Ossicles

Small bones in the middle ear that transmit sound vibrations from the eardrum to the inner ear.

Stirrup

A bone in the middle ear that transmits sound vibrations to the inner ear.

Eardrum

A thin membrane that separates the outer ear from the middle ear and vibrates in response to sound waves, also known as the tympanic membrane.

External Ear

The outer portion of the ear, consisting of the pinna and the ear canal, which helps direct sound waves into the ear.