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Olivia.W🌸 · 2023年08月31日

homoskeda

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.

可以用中文解释一下这个题目吗?

1 个答案

星星_品职助教 · 2023年09月04日

同学你好,

本题研究房龄和房价之间的关系,研究人员在特定的区域采集了50组临近房屋的数据,问哪条线性回归的假设最有可能被违反。

由于数据都是在某一个特定区域临近的房屋中采集,所以数据和数据之间很可能有关系。即此前的房龄和房价会被用来做后续交易的参考,进而影响到此后的房价。所以违背了“the observations, or pairs of Ys and Xs, are independent of one another.”,也就是Independence的假设。

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