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Tan · 2020年08月25日

问一道题:NO.PZ201512020300000804

* 问题详情,请 查看题干

问题如下:

Based on Exhibit 2, Vasileva should compute the:

选项:

A.

coefficient of determination to be 0.4689.

B.

95% confidence interval for the intercept to be –0.0037 to 0.0227.

C.

95% confidence interval for the slope coefficient to be 0.0810 to 0.3898.

解释:

C is correct. The confidence interval for the slope coefficient is calculated as:
Confidence interval = b1 ± t c * sb1
Where b1 = 0.2354, sb1 = 0.0760 and tc = 2.032
The lower limit for the confidence interval = 0.2354 – (2.032 × 0.0760) = 0.0810
The upper limit for the confidence interval = 0.2354 + (2.032 × 0.0760) = 0.3898

忘了一级的知识,确认下查询T表的自由度是n-1吗?所以这道题的df=36-1=35?

1 个答案
已采纳答案

星星_品职助教 · 2020年08月25日

同学你好,

t检验的自由度取决于到底检验的是哪个参数。多元回归里的t检验的自由度是n-k-1,所以这道题查表需要查df= 36-1-1=34

tc=2.032是双尾5%(相当于单尾2.5%)和自由度=36-1-1=34的条件下,查表所得的数据。