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苏·Xu · 2024年07月08日

线性回归

NO.PZ2023062701000013

问题如下:

A researcher is investigating the relationship between the age of a house and its selling price. The researcher collects data on 50 houses in a specific neighborhood. Which of the following assumptions of linear regression is most likely to be violated in this study?

选项:

A.

Linearity

B.

Homoskedasticity

C.

Independence

解释:

In this study, the assumption of independence is most likely to be violated. The assumption of independence in linear regression states that the observations, or pairs of Ys and Xs, are independent of one another. However, in the case of houses in a specific neighborhood, there may be potential interdependence or clustering of the data. Factors such as location, neighborhood characteristics, or other shared attributes of houses in the same area can lead to non-independence among the observations. The selling prices of houses in close proximity may be similar due to factors specific to the neighborhood, leading to a violation of the independence assumption in linear regression.

本题为什么不能理解为“房龄越长,市场价格越低,波动越大,残差越大”这个思路呢?

1 个答案
已采纳答案

品职助教_七七 · 2024年07月09日

嗨,从没放弃的小努力你好:


题目中没有给出提问中的条件,但很明确的给出了50个数据都是在邻近区域内采集的,即数据之间彼此是有关联的。

在题干给出明显提示的情况下,需要根据提示优先选择“most likely”的选项independence。

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