(b) What are 「R²」and 「adjusted R²」? And what is the difference between them?

(b) Is the maximum likelihood estimator unbiased?

5. (12分) In a random sample of 400 industrial accidents, it was found that 231 were due at least partially to unsafe working conditions. Please construct a 99% confidence interval for the corresponding true proportion. (Refer to the attached Tables if necessary)

6. (10分) Let the variables X₁, X₂ and X₃ have variances σ₁² = 1.0, σ₂² = 3.0 and σ₃² = 5.0. Let these variables be independent and Y = 13 - 2X₁ + 3X₂ - 10X₃. Find the variance of Y.

(a) How much the degree of freedom will be when applying a sample of size n to estimate  the model?

(c) What is the multicollinearity problem?

(d) What is the heteroscedasticity problem?

(a) Show that if x ＜ α/(1 - β), then x ＜ E(Y) ＜

(b) Show that if x ＞ α/(1 - β), then x ＞ E(Y) ＞, and conclude that E[Y] is always  between x and α/(1 - β).

第一題: English to Chinese - 英文翻譯中文Preparations for loading cargo (verifying the loading capacity of voyage,studying the cargo information, making out the cargo plan, initial checking the stability, trim and stresses).proper stowage and securing of cargo (ensure a solid stow and effective securing of cargo units, keep air passage in advance, and that for convenient cargo inspection).Check the stability, trim, stresses for the cargo loading condition of the voyage.According to the inspection of cargoes and records of findings at regular intervals and to the measures taken, take further actions to avoid any damages to the ship or cargoes.Identify any damage to the ship or cargoes after discharging and determine possible causes.Correctly fill the "cargo papers" and "mate's remark".

第二題: Chinese to English -中文翻譯英文敬啟者:       我們很遺憾通知你,本輪第二艙,於今晨十時左右卸貨中,貨物一箱記號“ABC”由於卸貨人員不慎,致吊索鬆落。該箱貨物掉落於船外與碼頭間之水中。       隨即那損壞的箱子被撈起後,由在船理貨主任及代理行代表確認之。速請查照將非常感激你忠實的海龍輪船長