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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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36. A solid spher of radius ? carries a uniform volume charge density ?. A hole of radius R/2 occupies a region from the center to the edge of the sphere, as shown in the figure. Whate is the electric field everywhere in the hole? Note that ∈0is the electric constant.(A) ρR/2∈0 (B) ρR/3∈0 (C) ρR/4∈0 (D) ρR/5∈0 (E)ρR/6∈0

43.下列何者是現行住宅火災保險的額外費用之補償事項? (A)閃電雷擊 (B)航空器墜落 (C)臨時住宿 (D)爆炸

3 依據沙奇曼(Suchman)對病人在疾病不同階段的行為反應,下列敘述何者正確? (A)感覺徵兆期,會隱瞞和他較親密的人轉而尋求他人的協助 (B)假設生病角色期,會尋求專業醫療照護並且與醫師磋商治療過程 (C)接觸醫療照顧期,會希望對自己疾病的徵兆以及預後能多些瞭解 (D)病人角色期,可能接受或拒絕醫師的建議,開始學習放棄生病的角色

40. 使用多種品種的貓影像訓練生成對抗網路(GAN),希望生成多樣化的貓影像。然後,生成器(Generator)在訓練過程中逐漸只會反覆產生同一隻橘貓的影像,以騙過鑑別器(Discriminator),導致生成結果缺乏多樣性。請問此現象稱為下列何者? (A)過擬合(Overfitting);(B)模式崩潰(Mode Collapse); (C)梯度爆炸(Exploding Gradient); (D)梯度消失(Vanishing Gradient)

41. 某製造業廠區計劃導入 AI 影像分析系統,希望統計各產線員工穿戴安全帽與反光背心的整體遵從率,作為職業安全管理改善的參考依據。為兼顧職業安全管理與員工隱私保護,系統在分析及產出報表時不得識別或記錄任何特定員工的身分資訊。下列何種 AI 技術最適合此需求? (A)採用物件偵測(Object Detection)辨識影像中的安全帽與反光背心,並統計各產線的整體穿戴遵從率; (B)採用人臉辨識(Face Recognition)辨識未穿戴防護具的人員,再彙整各產線的穿戴遵從率; (C)採用步態分析(Gait Analysis)辨識員工身分,再分析各產線的穿戴情形,以利後續改善安全管理; (D)採用行為分析(Behavior Analytics)結合個人歷史紀錄,預測員工未來未穿戴防護具的風險,作為改善依據