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.
X应该是学习时间,Y是分数,为什么会是学习时间长方差就小,学习时间短方差大,这个结论是怎么来的。即使是这样,那怎么解决,难道是学习时间短的学生多抽样学习时间长的少抽样么?请帮忙解惑,谢谢