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6. Consider the linear population model with intercept:$y_t = \alpha + \beta x_t + \varepsilon_t$The variance structure is known as below: $E(\varepsilon_t^2) = \sigma^2 h_t^2,$Which regression may obtain efficiency $\hat{\beta}$ estimator? (A) Regress \( y_{t} \) on 1, \( x_{t} \) (B) Regress \( y_{t} / h_{t} \) on 1/ht ,xt/ht(C) Regress \( y_{t} / h_{t}^{2} \) on 1/h2t ,xt/h2t(D) Regress \( y_{t} \) on 1/ht ,xt/ht(E) Regress \( y_{t} / h_{t} \) on 1, \( x_{t} \)

5. Consider the linear model with intercept: $y_t = \alpha + \beta x_t + u_t$ If the $A = \sum_{i=1}^{n} (x_i - \bar{x})^2$ is positive definite and $E(u_i \mid x_i) = 0, \forall t = 1, 2, \dots, T$, which statement is true under sample size $T \to \infty$. (A) \( \hat{\beta} \) is consistent, but we cannot judge whether \( \hat{\beta} \) is efficiency (B) \( \hat{\beta} \) is unbiased and efficiency (C) \( \hat{\beta} \) is consistent and efficiency (D) \( \hat{\beta} \) is, but we cannot judge whether \( \hat{\beta} \) is efficiency (E) \( \hat{\beta} \) is unbiased and consistent.

4. Consider the simple regression $y_i = \alpha + \beta x_i + \varepsilon_i$And suppose population parameter $\beta = 2$ and least square estimator $\hat{\beta} = 2.3$. Now consider the regression $(x_i - y_i) = \alpha^* + \beta^* x_i + u_i.$What is the value of \( \hat{\beta} \)? (A) 1 (B)-1 (C)-1.3 (D)-0.3 (E) 0.3

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課程學習1

講師：【站僕】摩檸Morning.

簡介：課程學習1課程學習1課程學習1課程學習1課程學習1 課程學習1課程學習1課程學習1課程學習1課程學習1 課程學...

全彩圖解英文音標發音課-自然發音+KK音標一次全學會！

講師：台中大雅家教-睿智數學及英文家教，王瑞志老師

簡介：提供全彩圖解英文音標發音課程，學完讓你自然發音+KK音標一次全學會！ 課程特色: 1.圖解、音標、注音、符號...

高一下英文課程(十年級)

講師：台中大雅家教-睿智數學及英文家教，王瑞志老師

簡介：高一下單字課，老師講解，偶爾有片語。

【全】課程理論基礎、再概念化與研究

課程：教師檢定全科
章節：課程教學與評量

【全】經典發展理論：認知、語言與智力

課程：教師檢定全科
章節：學習者發展與適性輔導

【全】人格、情緒與自我意識發展

課程：教師檢定全科
章節：學習者發展與適性輔導

43. 李先生 75 歲，因呼吸急促到急診，胸部 X 光顯示左側肋膜有積液，下列肋膜液分析結果 何者不屬於滲出液 ( exudate ) 的特性？ (A)Pleural fluid pH < 7.30 (B)Pleural fluid : serum protein ratio < 0.5 (C)Pleural fluid : serum LDH ratio > 0.6 (D)Pleural fluid LDH > 0.67 upper limit of normal for serum LDH

73.下列胸水檢查結果何者較不像是 exudate？ (A) pleural fluid protein level ＞ 3.0 g/dL(B) pleural fluid: serum protein ratio ＞ 0.5(C) pleural fluid lactic dehydrogenase ＜ 100 IU/L(D) pH 值 ＜ 7.20

2. "Meanwhile, it has also diverted attention from other ongoing global threats." The COVID-19 pandemic has shown how a global risk can quickly become a widespread crisis, affecting both public health and economic stability. (A) In the short term, it has intensified problems such as job losses and declining social trust. (B) At the same time, long-term challenges like climate change and technological inequality remain unresolved. (C) Although vaccines were developed rapidly, the crisis revealed the limits of reactive responses. (D) Greater preparation and international cooperation might have reduced the damage. (E) This experience highlights both the risks the world faces and the opportunity to build a more resilient future.

3. "In this way, the event serves as a platform for promoting global health awareness." World Health Day is observed annually to raise awareness of global health issues. It also marks the founding of the World Health Organization (WHO). (A) Many organizations participate in activities to promote public health. (B) These events are often organized around specific themes each year. (C) Health is considered essential because it affects both individual well-being and national development. (D) Without good health, people may struggle to contribute productively to society. (E) Therefore, raising awareness of health issues remains a global priority.

18 關於刑法公共危險罪章之適用，下列敘述何者錯誤？ (A)甲將汽油潑灑至某一現供人使用之住宅後，點燃手中的噴槍，依實務見解，尚不屬於刑法第 173 條放火罪之著手(B)乙對某一現有人所在之建築物放火，僅燒燬屋內家具，而房屋主結構並未受損，依實務見解，尚不構成刑法第 173 條第 1 項之放火罪(C)丙為報復，向緊鄰加油站之加油機的無人小客車投擲汽油彈，致車輛全毀，構成刑法第 175 條第 1項之罪(D)丁為詐領保險金，明知久未供使用之空屋附近有遊民居住，仍放火燒燬自己所有之該屋，構成刑法第 174 條第 2 項之罪

11. 設 t 為實數，直線 \(L_t\)：\((3\cos t)x + (5\sin t)y = 15\)。若 f(t) 表示原點 (0,0) 到直線 \(L_t\) 的距離，求 f(t) 的最小值為____。