The Kth -Degree Polynomial Regression Model Equation Is $Y = \beta _ { 0 } + \beta _ { 1 } x + \beta _ { 2 } x ^ { 2 } + \cdots \cdots + \beta _ {k} x ^ { k } + \varepsilon$

Essay

The kth -degree polynomial regression model equation is $Y = \beta _ { 0 } + \beta _ { 1 } x + \beta _ { 2 } x ^ { 2 } + \cdots \cdots + \beta _ {k} x ^ { k } + \varepsilon$
, where $\varepsilon$
is a normally distributed random variable with $\mu _ { z }$ = ___________ and $\sigma _ { z } ^ { 2 }$ = ___________