这题跟independence有什么关系？

NO.PZ2023062701000012问题如下 A researcher is concting a stu to examine the relationship between the amount of time spent stuing anthe scores achieveon a finexam. The researcher collects ta from a sample of 100 stunts. Whiof the following assumptions of lineregression is most likely to violatein this stu? A.LinearityHomoskesticityC.Inpennce In this stu, the assumption of homoskesticity is most likely to violate Homoskesticity in lineregression assumes ththe varianof the resials (the fferenbetween observeanprectevalues) is constant across all levels of the inpennt variable. However, in the context of stuing, it is plausible to assume ththe varianof scores achieveon the finexmffer penng on the amount of time spent stuing. For example, stunts who stu for longer perio might have more consistent anless variable exscores compareto those who stu less. Therefore, the assumption of homoskesticity mnot holin this stu. 学习成绩和学习时间为什么违反同质化，房子的价格和年限违反的就是独立性

NO.PZ2023062701000012 问题如下 A researcher is concting a stu to examine the relationship between the amount of time spent stuing anthe scores achieveon a finexam. The researcher collects ta from a sample of 100 stunts. Whiof the following assumptions of lineregression is most likely to violatein this stu? A.Linearity Homoskesticity C.Inpenn In this stu, the assumption of homoskesticity is most likely to violate Homoskesticity in lineregression assumes ththe varianof the resials (the fferenbetween observeanprectevalues) is constant across all levels of the inpennt variable. However, in the context of stuing, it is plausible to assume ththe varianof scores achieveon the finexmffer penng on the amount of time spent stuing. For example, stunts who stu for longer perio might have more consistent anless variable exscores compareto those who stu less. Therefore, the assumption of homoskesticity mnot holin this stu. 没理解为什么残差项在这道题目中，相对linearity和inpennce对结果的影响最大？

NO.PZ2023062701000012问题如下 A researcher is concting a stu to examine the relationship between the amount of time spent stuing anthe scores achieveon a finexam. The researcher collects ta from a sample of 100 stunts. Whiof the following assumptions of lineregression is most likely to violatein this stu? A.LinearityHomoskesticityC.Inpennce In this stu, the assumption of homoskesticity is most likely to violate Homoskesticity in lineregression assumes ththe varianof the resials (the fferenbetween observeanprectevalues) is constant across all levels of the inpennt variable. However, in the context of stuing, it is plausible to assume ththe varianof scores achieveon the finexmffer penng on the amount of time spent stuing. For example, stunts who stu for longer perio might have more consistent anless variable exscores compareto those who stu less. Therefore, the assumption of homoskesticity mnot holin this stu. 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