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40. Which of the following statement about coefficient of determination $R^2$ is incorrect? (A) As the number of explanatory variables increases, \( R^2 \) may increase. (B) It provides the percentage of explained variance in the response variable using the regression model. (C) Its value must fall in 0 and 1. (D) The correlation of coefficient must equal to \( R^2 \). (E) When \( R^2 = 1 \), the response variable has an exact linear relationship with the explanatory variable in the simple regression model.

39. Which of the following statement is when the one-way ANOVA provides relatively more evidence that $H_0: \mu_1 = \mu_2 = \cdots = \mu_g$ is rejected? (A) The smaller the between-groups variation. (B) The smaller the within-groups variation. (C) The larger the between-groups variation. (D) The larger the within-group variation. (E) None of the above.

38. Suppose that a 99% confidence interval for the difference $p_1 - p_2$ between the proportions of men and women in Taiwan who are alcoholics equals (0.02, 0.09). (A) We are \( 99\% \) confident that the proportion of alcoholics is between 0.02 and 0.09. (B) We are \( 99\% \) confident that the proportion of men in Taiwan who are alcoholics is between 0.02 and 0.09 larger than the proportion of women in Taiwan who are. (C) We can conclude that the population proportions may be equal. (D) We are \( 99\% \) confident that a minority of Taiwan residents are alcoholics. (E) Since the confidence interval does not contain 0, it is impossible that \( p_1 = p_2 \)

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48. A bullet of mass m is fired horizontally with a speed v into a stationary wooden block of mass M and becomes embedded in it. If the block is suspended by a string of length L (forming a simple pendulum system), what fraction of the initial kinetic energy is lost as mechanical energy during the moment of impact? (A) m / (m + M) (B) M / (m + M) (C) m / M (D) (M - m) / (M + m)

21 有關偶發性及緊急性集會遊行處理原則之敘述,下列何者正確? (A)係關於機關內部之組織、事務之分配、業務處理方式、人事管理等一般性規定 (B)係對多數不特定人民就一般事項所作抽象之對外發生法律效果之規定 (C)係上級機關對下級機關,依其權限或職權為規範機關內部秩序及運作,所為直接對外發生法規 範效力之一般、抽象之規定 (D)係為協助下級機關或屬官統一解釋法令、認定事實及行使裁量權,而訂頒之解釋性規定及裁量基準

2 依據民國 112 年之護理人員法各項條文中,對於護理人員執業之規定,下列何者錯誤? (A)必須加入執業所在地之護理師護士公會 (B)護理人員執業,應每 6 年辦理護理師證書更新 (C)向執業所在地之縣(市)衛生主管機關辦理執業登記 (D)醫療輔助行為應在醫師指示下行之

38. 某企業建置長時間對話的客服機器人,發現當對話回合數持續增加、上下文變得很長時,即使對話內容仍未超過模型可支援的上下文長度上限,模型仍常「忘記」或答錯先前提及的內容,回覆準確度明顯下降。下列關於此現象的敘述,何者最正確? (A)上下文越長,模型擷取與利用關鍵資訊的能力可能下降,因此容易忽略先前的核心內容; (B)上下文越長,模型會自動建立索引並優先檢索較早的對話內容,因而無法引用先前資訊; (C)上下文越長,模型在推論時會逐漸改變其原有的模型參數設定,因而導致記憶混亂; (D)只要對話內容未超過模型可支援的上下文長度,就不會出現遺漏先前資訊的情形

39. 某手機應用程式提供「舊照片修復」功能,使用者上傳模糊照片後即可產生清晰版本。其模型訓練流程為:先將清晰影像逐步加入隨機雜訊,直到完全變成雜訊影像,再訓練模型學習如何逐步去除雜訊,以還原出清晰影像。請問此功能最主要採用下列哪一種生成式 AI 模型架構? (A)生成對抗網路(GAN); (B)卷積神經網路(CNN); (C)變分自編碼器(VAE); (D)擴散模型(Diffusion Model)