题目
题目

BIOT6214.35294.202530 Quiz #3 - Requires Respondus LockDown Browser

多项选择题

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

选项
A.R² always increases or stays the same when additional polynomial terms are added to the model
B.A high R² guarantees that the model will generalize well to new data
C.R² values closer to 1 indicate that the model explains more of the variance in the training data
D.Adding too many polynomial terms can lead to overfitting, despite increasing R²
E.R² is the only criterion needed to determine the optimal polynomial degree
查看解析

查看解析

标准答案
Please login to view
思路分析
Question: In the context of polynomial regression models, which of the following statements are true about the coefficient of determination (R²)? Select all that apply. Option 1: R² always increases or stays the same when additional polynomial terms are added to the model - This statement leverages a known property of ordinary least squares: adding more predictors (including polynomial terms) cannot reduce the R² value; it either stays the same or goes up. The intuition is that the mod......Login to view full explanation

登录即可查看完整答案

我们收录了全球超50000道考试原题与详细解析,现在登录,立即获得答案。

类似问题

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

Question at position 20 You fit a polynomial regression model using Diastolic Blood Pressure regressed on Age. To find the best polynomial model, you tried polynomial with degree from 2 to 5. Based on the R output below, which of the following statements is correct? .  The best model is polynomial with degree 5 because it has the highest R-square and lowest residual standard error. Without further information, no conclusion can be made about which model is the best. The best model is polynomial with degree 2 because it has the largest F statistic thus the smallest p-value for overall model significance. The best model is polynomial with degree 4 because the polynomial with degree 5 has a non-significant term for degree 5. None of them is correct!Clear my selection

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

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

更多留学生实用工具

加入我们，立即解锁 海量真题 与 独家解析，让复习快人一步！