NO.PZ2023062701000012
问题如下：
A researcher is conducting a study to examine the relationship between the amount of time spent studying and the scores achieved on a final exam. The researcher collects data from a sample of 100 students. 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 homoskedasticity is most likely to be violated. Homoskedasticity in linear regression assumes that the variance of the residuals (the difference between observed and predicted values) is constant across all levels of the independent variable. However, in the context of studying, it is plausible to assume that the variance of scores achieved on the final exam may differ depending on the amount of time spent studying. For example, students who study for longer periods might have more consistent and less variable exam scores compared to those who study less. Therefore, the assumption of homoskedasticity may not hold in this study.
为什么学习成绩跟学习时间是independence？两者不是相互依赖吗
