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IB MAI HL Statistics & Probability Topic 4.2 Bivariate Statistics (id: 249298388

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admin 发表于 2024-4-4 17:41:05 | 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]
A household appliance manufacturing company uses the fhlik-fz7t3tbeg,tj )u ql9al8h/)e7ollowing model to pr0y/z)x;8i mk lpi* cygedict the quantity of output,l8 c*)kg/xi0 ;ipyzym Q (in thousands of items), from the quantity of labour, l (in hundreds of hours).

$Q(l)=a l e^{b l}, a, b \in \mathbb{R}$


The production analysts in the company are trying to decide between two options for the values of a and b , depending on which historical time period to use as their data set. The two options, Models A and B are as follows:
Model A: a=4, b=-0.3
Model B: a=3.5, b=-0.2

To test whether model A or B has better capacity of forecasting output, the company records the quantity of output for three different quantities of labour, as shown in the table below.



Determine the model that the firm should choose based on the least sum of square of residuals.




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