The most common functional form that is nonlinear in the variables is the _______ form.

Question

BlackTom AI · Accepted Answer

The question asks about the most common functional form that is nonlinear in the variables. 
Option 1: inverse. An inverse form (1/x, for example) is indeed nonlinear in the variables, but it is not generally described as the most common nonlinear functional form in many applied contexts; it is just one specific nonlinear shape.
Option 2: double-log. A double-log transformation involves taking logs of both the dependent and independent variables, which can linearize certain power-law relationships but is a transformation technique rather than a basic functional form itself. It is commonly used for linearization, not necessarily the standard nonlinear form the question targets.
Option 3: lin-log. A lin-log form uses a linear relationship with the logarithm of one variable (or vice versa) and is a useful modeling option, yet it does not capture the broad class of nonlinear relationships as widely as another standard form. It is a special case rather than the most common general nonlinear form.
Option 4: polynomial. A polynomial form is nonlinear in the variables when the degree is greater than one, and among basic modeling forms, polynomials are widely recognized as the most common and versatile nonlinear specification used across many disciplines. They can approximate a broad range of nonlinear shapes by including squared, cubic, and higher-order terms, making them a standard go-to for nonlinear modeling.
In summary, while the first three options describe legitimate nonlinear or transformation-based approaches, the polynomial form is the archetype that is most frequently cited as the common nonlinear functional form used to capture curvature and complex relationships. This makes it the best answer among the choices provided.

ECON 460-COMB Ch07Quiz

The most common functional form that is nonlinear in the variables is the _______ form.

查看解析

登录即可查看完整答案

类似问题

When fitting a linear model with polynomial basis functions, which of the following has no impact on the model complexity?

In the context of polynomial regression models, which of the following statements are true about the coefficient of determination (R²)? Select all that apply.

If we square a feature and then apply a linear regression, it's equivalent to building a model such as.

Now, add stotal2 to the equation you estimated in Question 14. Does a quadratic in the test score variable stotal seem necessary?

Consider m-th order polynomial regression. Which of the the following statements are true? [Select ALL that apply.]

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单