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
Homoskedasticity
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?