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王10 · 2023年11月09日

学习时间和期末成绩,房价和房龄

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.

不是很会判断这类题目中考察哪个assumption对线性回归的影响最大。有没有一些tips

1 个答案

星星_品职助教 · 2023年11月10日

同学你好,

本题提示50个房屋数据都来自于与同一个特定的地区(a specific neighborhood)。由于同一个地区的房价彼此之间会有明显的相互影响。所以违背independence这条假设。


违背假设的情况只能通过每条假设的定义和题干中的描述去逐个判断和做排除。暂时还没有统一的规律。

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