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IB MAI HL Statistics & Probability Topic 4.2 Bivariate Statistics (id: 9de8ccf0a

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admin 发表于 2024-4-4 17:43:05 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Statistics & Probability Topic 4.2 Bivariate Statistics,类别为 IB数学

[问答题]
Phillip, an IB math aezr a2 77l.*dk9gr amx5:cev oq+ fo- f-pw ,zx6(vrhteacher, has formulated a mathematical model to predict the average mark on the final qf6o- pzrv+xfh-w,o( exam of the students, M , from the time allowed to complete the exam, h , in hours. The model is described as follows.

$M(h)=c h e^{d h}, c, d \in \mathbb{R}$


Phillip is trying to determine the values for c and d and two options, depending on which prior class data to use. His options are Model A or Model B , as follows:

$\begin{array}{l}
\text { Model A: } c=102, d=-0.48 \\
\text { Model B: } c=110, d=-0.55
\end{array}$


To determine whether Models A or B is more accurate in predicting the average exam mark, Philip conducts three trial examinations with his class with different exam lengths. The results are shown in the table below.




Phillip decides to choose the model with the smallest value of the sum of square of residuals. Determine the model that he should choose.




参考答案:



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