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vvnsw · 2024年03月11日

这题该怎么选

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.

这题是根据房龄跟房价所以选C吗

1 个答案

品职助教_七七 · 2024年03月11日

嗨,努力学习的PZer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,50个observations彼此之间不独立。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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