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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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43. 下列反應的主要產物為何?(A)(B)(C)(D)

10. Two satellites, A and B, orbit the Earth in uniform circular motion. If the orbital radius of satellite A is 4 times that of satellite B, what is the ratio of the orbital period of satellite A to that of satellite B (TA/TB)? TA and TB are their orbital period, respectively. (A) 2 (B) 4 (C) 8 (D) 16

11. Which of following scientists produced coherent light in his 1801 experiment that demonstrated the wave nature of light? (A) Christiaan Huygens (B) Thomas Young (C) Albert Michelson (D) James Clerk Maxwell (E) Clinton Davisson

12. The speed of light propagating in vacuum is equal to (A) (B) (C) (D) (E) ∈0μ0. Note that∈0 is the electric constant and μ0 is the magnetic constant.

29.關於家族治療的療效研究中,探究日常情境與真實生活的研究,屬於下列何種研究型態? (A)成果研究(outcome research) (B)歷程研究(process research) (C)效用研究(effectiveness studies) (D)效益研究(efficacy studies)

43. 某企業導入大型語言模型處理超長合約文件(數萬字),發現輸入越長,運算時間與資源消耗增加得越快,遠超過文件長度增加的比例。下列何者最能解釋此現象發生的主要原因? (A)長文本包含較多生僻字,系統偵測到新詞時會自動暫停並即時重建底層詞彙表; (B)模型為了確保長文本的生成品質,會隨輸入長度自動動態增加模型的參數數量; (C)自注意力機制在處理文本時,時間複雜度會隨輸入長度呈二次方(平方)快速上升; (D)隨著合約內容變長,模型內部會自動切換為檢索增強生成(RAG)架構,以提升長文本處理效率