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蜗牛也是牛Megan · 2024年02月25日

这道题考察哪个知识点?

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。

第一部分的知识点哪里讲到了这部分内容?

1 个答案
已采纳答案

品职助教_七七 · 2024年02月25日

嗨,爱思考的PZer你好:


本题考察confidence interval公式在回归方程中的应用。

在回归方程中,估计的是系数b1,所以此时的sample statistic就是估计出来的系数 b1 cap,对应的standard error为sb1 cap。

所以此时confidence interval公式就转化为了: b1 cap ± critical value × sb1 cap。

本题要求upper confidence interval,公式为b1 cap + critical value × sb1 cap,代入各项数字求解即可。

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