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呜啦啦 · 2023年09月14日

双尾分布的话,tc值查表的结果为什么不是用10%/2=5%,1-5%=95%对应的1.96,而是用90%对应的1.65来计算

NO.PZ2018101001000014

问题如下:

Harry is a supermarket’s employer and he is interested in using math model to solve some problems. Recently, he wants to know the relationship among commodity demand volume(V), commodity prices(P) and consumer income level(I). The dependent variable is commodity demand volume and the other two is the independent variables. After doing the multiple regression analysis, he gets the following results:

What is the upper confidence interval of consumer income level’s regression coefficient at 0.1 level?

选项:

A.

3.467

B.

8.919

C.

9.798

解释:

B is correct.

考点: Interpret Regression Coefficient, Assumptions and F-test.

解析: Regression Coefficient Confidence Interval的公式是b1^±tcSb1^,这里的b1^等于6.193,Sb1^ 等于1.652。已知n为150,所以自由度(df)=n-k-1=147。当样本容量足够大(大于120)时,在α =0.1的情况下,tc近似于1.65,所以对于本题来说,置信区间上限等于6.193+1.65*1.652=8.919,选择B选项。

双尾分布的话,tc值查表的结果为什么不是用10%/2=5%,1-5%=95%对应的1.96,而是用90%对应的1.65来计算

1 个答案

星星_品职助教 · 2023年09月15日

数量科目中的置信区间都是双尾。90% confidence level对应的关键值就直接是±1.65。这是一级要求背的值,不需要再做后续调整。

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