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13581943293 · 2021年09月19日

麻烦老师,帮助我复习一下log 和E x之间的方程式,没有什么窍门能记住的,总是在中个知识点上犯错。

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NO.PZ201709270100000506

问题如下:

6. Based on the regression output in Exhibit 3 and sales data in Exhibit 4, the forecasted value of quarterly sales for March 2016 for PoweredUP is closest to:

选项:

A.

$4.193 billion.

B.

$4.205 billion.

C.

$4.231 billion.

解释:

C is correct. The quarterly sales for March 2016 is calculated as follows:

beginarraylln Salest-ln Salest-1=b0+b1(ln Salest-1-ln Salest-2)+b2(ln Salest4-ln Salest-5)ln Salestln3.868=0.00920.1279(ln3.868ln3.780)+0.7239(ln3.836ln3.418)ln Salest=1.44251Salest=e1.44251=4.231begin{array}{l}\ln{\text{ Sales}}_\text{t}{\text{-ln Sales}}_\text{t-1}{\text{=b}}_\text{0}{\text{+b}}_\text{1}{\text{(ln Sales}}_\text{t-1}{\text{-ln Sales}}_\text{t-2}{\text{)+b}}_\text{2}\text{(ln Sales}_{t-4}^{}{\text{-ln Sales}}_\text{t-5}\text{)}\\\ln{\text{ Sales}}_\text{t}-\ln3.868=0.0092-0.1279(\ln3.868-\ln3.780)+0.7239(\ln3.836-\ln3.418)\\\ln{\text{ Sales}}_\text{t}=1.44251\\{\text{Sales}}_\text{t}=e^{1.44251}=4.231

麻烦老师,帮助我复习一下log 和E x之间的方程式,没有什么窍门能记住的,总是在这个知识点上犯错。谢谢

1 个答案
已采纳答案

星星_品职助教 · 2021年09月19日

同学你好,

如果Ln X=b,则X=e的b次方。可以理解为Ln和“e”可以互相抵消,所以在“Ln X=b”这个等式两边都取“e”,即可得到“X=e的b次方”。

本题相当于是Ln X=1.44251,所以X=e的1.44251次方,直接按计算器即可。

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NO.PZ201709270100000506 问题如下 6. Baseon the regression output in Exhibit 3 ansales ta in Exhibit 4, the forecastevalue of quarterly sales for Mar2016 for PowereP is closest to: A.$4.193 billion. B.$4.205 billion. C.$4.231 billion. C is correct. The quarterly sales for Mar2016 is calculatefollows:beginarraylln⁡ Salest-ln Salest-1=b0+b1(ln Salest-1-ln Salest-2)+b2(ln Salest−4-ln Salest-5)ln⁡ Salest−ln⁡3.868=0.0092−0.1279(ln⁡3.868−ln⁡3.780)+0.7239(ln⁡3.836−ln⁡3.418)ln⁡ Salest=1.44251Salest=e1.44251=4.231begin{array}{l}\ln{\text{ Sales}}_\text{t}{\text{-ln Sales}}_\text{t-1}{\text{=b}}_\text{0}{\text{+b}}_\text{1}{\text{(ln Sales}}_\text{t-1}{\text{-ln Sales}}_\text{t-2}{\text{)+b}}_\text{2}\text{(ln Sales}_{t-4}^{}{\text{-ln Sales}}_\text{t-5}\text{)}\\\ln{\text{ Sales}}_\text{t}-\ln3.868=0.0092-0.1279(\ln3.868-\ln3.780)+0.7239(\ln3.836-\ln3.418)\\\ln{\text{ Sales}}_\text{t}=1.44251\\{\text{Sales}}_\text{t}=e^{1.44251}=4.231beginarraylln Salest​-ln Salest-1​=b0​+b1​(ln Salest-1​-ln Salest-2​)+b2​(ln Salest−4​-ln Salest-5​)ln Salest​−ln3.868=0.0092−0.1279(ln3.868−ln3.780)+0.7239(ln3.836−ln3.418)ln Salest​=1.44251Salest​=e1.44251=4.231 0.0092−0.1279(ln3.868−ln3.780)+0.7239(ln3.836−ln3.418)得出来不是0.089776吗 然后怎么算ln(Sales t)呢?

2024-07-13 18:34 1 · 回答

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2023-03-18 14:02 1 · 回答

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