2. 研究人員進行資料分析設立了一個線性迴歸模式：\( Y = \beta_0 + \beta_1 X_1 + \beta_2 X_2 + \varepsilon \)，\( \beta_0 \)、\( \beta_1 \)、\( \beta_2 \) 是截距項與 \( X_1 \)、\( X_2 \) 的係數，\( \varepsilon \) 是殘差項，樣本大小 n。該研究人員想知道不納入解釋變數 \( X_2 \) 對 \( \beta_1 \) 估計結果會產生什麼影響。請討論其影響為何？(20%)

3. An airplane has 15 seats and 15 passengers, each with an assigned seat (passenger \( k \) assigned to seat \( k \)). Passenger No.1 boards first but has lost the boarding pass and chooses a seat uniformly at random. Passengers No.2 through No.14 board in order: each takes their assigned seat if available; otherwise, they choose a remaining seat uniformly at random. Passenger No.15 boards last. What is the exact probability that Passenger No.15 sits in the assigned seat (seat No.15)? (10%)(Note: You are asked to answer in percentages, counted to two decimal places.)

(1) Assuming that A1, A2, and A3 are distinct sculptures, calculate the total number of ways that the 10 sculptures can be arranged on the pedestals while satisfying all three conditions. (20%)

(2) Assuming that A1, A2, and A3 are the same sculpture, calculate the total number of ways that the 10 sculptures can be arranged on the pedestals while satisfying all three conditions. (20%)

(1) STARK bought a 2,000-acre land for $8,215,300 and divided it into 200 equal size lots. As the lots are sold, they are cleared at an average cost of $5,210. Storm drains and driveways are installed at an average cost of $8,000 per site. Sales commissions are 10% of selling price. Administrative costs are $850,000 per year. The average selling price was $160,000 per lot during 2019 when 50 lots were sold. During 2020, STARK bought another 2,000-acre land and developed it exactly the same way. Lot sales in 2020 totaled 300 with an average selling price of $160,000. All costs were the same as in 2019. Compute the operating income for both years using both absorption and variable costing methods (Show computations). Explain why operating income is (or not) the same under the two costing methods in 2019 and 2020, respectively. (8%)

(2) HAWKEYE sells hot dogs for $1.35. Variable costs are $1.05 per unit with fixed production costs of $90,000 per month at a level of 400,000 units. Fixed administrative costs total $30,000. Sales average 400,000 units per month, with planned production of 400,000 hot dogs. What are breakeven unit sales under absorption costing if average sales are 498,000 and planned production is changed to 500,000? Show computations. (5%)

(3) WANDA orders most of its items in lot sizes of 10 units. Average annual demand per side of beef is 720 units per year. Ordering costs are $25 per order with an average purchasing price of $100. Annual inventory carrying costs are estimated to be 40% of the unit cost. Compute the annual cost savings if the shop changes from an order size of 10 units to the economic order quantity. Show computations. (5%)

(1) Prepare a production cost worksheet using the FIFO method. (12%)

(2) "In job costing, the costs of normal spoilage that occur while a specific job is being done are charged to the specific job." Do you agree? Explain. (5%)

3. APPLE is in need of a microcomputer network for its staff. The company uses straight-line depreciation for all capital assets. Annual required rate of return is 14%. The company has received three proposals, with related facts as follows:| | Required:Compute the payback period, net present value, and accrual accounting rate of return with initial investment, for each proposal. Show computations. Rank each proposal 1, 2, and 3 using each method separately. Which proposal is best? Why? (15%)

(1) What was the full cost per unit? What was the selling price? (12%)

115年 - 115 國立臺北大學_碩士班一般入學考試試題_自然資源與環境管理研究所：統計學#146969

115年 - 110 國立臺北大學_碩士班一般入學考試試題_企業管理學系甲組：統計學#146951

115年 - 115 國立臺北大學_碩士班一般入學考試試題_金融與合作經營學系：統計學#146920

115年 - [無官方正解]115 國立臺北大學_碩士班一般入學考試試題_經濟學系：統計學#146534

115年 - [無官方正解]115 國立嘉義大學_碩士班招生考試試題_財務金融學系：統計學#143862

115年 - 115 中央警察大學_碩士班入學考試試題：統計學#139759

114年 - 114 國立臺北大學_碩士班一般入學考試試題_企業管理學系甲組：統計學#146907

114年 - 114 中央警察大學_碩士班入學考試試題_警察政策研究所、刑事警察研究所、資訊管理研究所、鑑識科學研究所、行政管理研究所、防災研究所、水上警察研究所海洋科技組：統計學(同等學力加考)#146791

114年 - [無官方正解]114 國立嘉義大學_碩士班招生考試試題_財務金融學系：統計學#144015

114年 - [無官方正解]114 臺灣綜合大學系統_學士班轉學生考試試題:統計學#138278