Consider the following model:

True or false: this model is additive in the predictors.

Question

Consider the following model:

True or false:  this model is additive in the predictors.

BlackTom AI · Accepted Answer

The question asks us to evaluate whether a given model is additive in the predictors and to decide True or False.
Option 1: True. If a model were additive in the predictors, it would imply that the overall effect is a simple sum of the individual predictor effects, with no interactions or nonlinear cross-terms between predictors. This would mean altering one predictor changes the outcome by a constant amount, regardless of the values of other predictors. However, without seeing the specific model form or terms, assuming additivity may overlook possible interaction terms or nonlinear relationships that violate additivity.
Option 2: False. If the model is not additive in the predictors, then there are either interaction effects (where the effect of one predictor depends on the level of another) or nonlinear transformations of predictors that lead to a combined effect that is not simply the sum of individual effects. In many practical models, especially in education, economics, or biology, interactions are common, and thus non-additivity is a plausible characteristic.
To evaluate which option is correct, one would look for evidence of interactions or nonlinear terms in the model specification. If interaction terms like X1*X2, or nonlinear terms such as X1 squared, are present and contribute significantly, that indicates non-additivity, supporting the claim that the model is not additive. Conversely, a model that includes only main effects with no interaction or nonlinear terms would be additive.
If the model in question indeed contains interaction effects or nonlinear components, the statement that the model is additive would be incorrect. If, on the other hand, the model contains solely main effects and no interactions or nonlinearities, the statement would be correct. Since the provided answer indicates False, the expectation is that the model includes non-additive components such as interactions or nonlinearities.
Note: When evaluating such statements, it helps to examine the formal specification (the equation or terms) and, if available, tests for interactions (significant interaction terms) or assessments of model fit with and without interaction terms to determine additivity.

QBUS6810 (ND) Week 3 Quiz

Consider the following model: True or false: this model is additive in the predictors.

查看解析

登录即可查看完整答案

类似问题

Consider the following model: 𝑓 ( 𝑥 ) = 𝑓 1 ( 𝑥 1 , 𝑥 2 ) + 𝑓 2 ( 𝑥 3 ) + 𝑓 3 ( 𝑥 4 ) True or false: this model is additive in the predictors.

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

People born without creativity never can develop it

A product has a selling price of $20, a contribution margin ratio of 40% and fixed cost of $120,000. To make a profit of $30,000. The number of units that must be sold is: Type the number without $ and a comma. Eg: 20000

Which of the following statement regarding cost is correct:

Under the assumptions used in cost-volume-profit analysis, as the activity increases:

The CVP and break-even analysis are supported by a range of important assumptions. Which of the following is not an assumption of the CVP:

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