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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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23. 何者無法用來衡量投資風險？ (A)標準差 (B)變異係數 (C)半變異數 (D)移動平均數

24. 若資本市場之證券價格已充分反應了所有已經公開之資訊，則此市場屬於何種效率市場的假 設？ (A)強式 (B)半強式 (C)弱式 (D)半弱式

35. 志學公司 109 年底有現金$200,000，應收帳款$400,000，流動負債$600,000，另有以下資料： 商品存貨－（成本）$400,000、（市價）$360,000。該公司之速動比率為： (A)2.00 (B)1.67 (C)1.60 (D)1.00

4.夾取分派大片軟嫩的食物時，適用下列哪一種服務方式？ (A)使用兩支魚刀分派 (B)使用服務叉匙夾取分派 (C)使用兩支服務匙分派 (D)使用一支服務叉分派

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V. Project-based learning (PBL) offers several important advantages in an EFL (English as a Foreign Language) classroom because it connects language use with meaningful communication and real-world tasks. Design a 4-period PBL lesson plan based on the provided passage. Your lesson plan should include your teaching goals, your instructions, expected learning outcomes, and assessments through AI. (15%)        Can you imagine taking a bite of a steak that was grown in a Petri dish instead of on a farm? It may sound like a scene in a sci-fi movie, but this is already a reality! Many start-ups have begun to develop a special new production process in which meat is created by taking animal stem cells, transforming them into primitive fibers, and combining these fibers to form muscle tissue. The final product is known as “lab-grown meat,” and it’s a thought-provoking recent trend that is backed by both Bill Gates and agricultural giant Cargill.         The widespread support for producing meat in this way is due to the fact that it has several substantial advantages compared with more traditional methods of meat production. First, one could argue that traditional meat production facilities, such as farms or factories, hardly ever have animals’ best interests at heart. Growing meat in a laboratory instead helps eliminate the need for slaughterhouses as well as the unethical treatment of animals. In other words, you could rest assured that the lab-grown beef patty on your plate didn’t come from a cow that had to endure physical or mental torment. Better still, lab-grown meat could help make meat production more sustainable. The raising of livestock needed to fulfill the current global demand for meat actually takes a heavy toll on the environment. According to FAO, it accounts for nearly fifteen percent of all greenhouse gas emissions worldwide. Experts estimate that by switching to lab-grown meat, emissions could be lowered by up to ninety-six percent. In addition, many claim it won’t just be the environment that benefits. Scientists can actually make lab-grown meat healthier and more nutritious by adding vitamins and minerals that are not always found in natural meat.          However, despite the evident advantages of this forward-thinking method of food production, there are also some concerns surrounding this meat of tomorrow. For a start, studies have shown that the development of labgrown meat could actually have far-reaching negative effects in the long term. While advocates for lab-grown meat say it can help fight climate change, some research suggests that maintaining the infrastructure of lab-grown cell cultures requires significant quantities of energy and leads to substantial gas emissions. Another issue to consider is whether this type of artificial meat is actually healthy and safe for humans to consume. Although great in theory, lab-grown meat is “unnatural,” or “similar to genetically modified (GM) food.” Since the latter is sometimes said to induce allergic reactions or even cause more serious health problems like cancer, some people are warning against human-made meat for fear that it might have similar side effects. One final area of concern is the actual taste of lab-grown meat. Without the naturally occurring connective tissue and fat that are present in real meat, lab-grown meat may be somewhat lacking in taste and texture and thus less appealing to some consumers. Therefore, more extensive research is needed to determine how the flavor and composition of this new meat might be altered to better suit consumers’ tastes.           Whether we like it or not, lab-grown meat is an innovative product that could have a long-term impact on a global scale. It might, however, come at a price. To ensure that future foods are both sustainable and healthy, it is therefore essential for us to conduct more comprehensive research before we jump to any conclusions. For now, all we can do is keep a close eye on this rapidly growing trend as it takes us further and deeper into the unknown.