(3). Interpret b₀ and b₁. (5%)

6. The manager of a convenient store wants to know whether the customer arrival in every ten-minute period follows Poisson distribution. The alternatives are as follows:H₀: The population distribution is Poisson.H₁: The population distribution is not Poisson.One day he observes from 8 a.m. to 4 p.m. The data on the number of customers (X) arriving at his store in each ten-minute period are as follows:Hence the sample mean = 6.0.Using the Chi-square procedure, for α = 0.05, test whether the probability distribution of the ten-minute customer arrival is Poisson. (20%)

7. Consider the simple linear regression modelYᵢ = β₀ + β₁Xᵢ + εᵢ, Vᵢ = 1,2,...,n, and εᵢ's are i.i.d. N(0, σ²),Show that the least squares estimators of parameters β₀ and β₁ satisfyb₁ = ， andb₀ = whereare the sample means of the Xᵢ and Yᵢ observations,respectively. (12%)

(1). Construct a scatter plot of the data. (5%)

(2). Calculate b₀ and b₁. Obtain the (least squares) estimated regression function and plot it on the graph in part (1). If the monthly income of Tony's is NT$ 60,000, then how much electricity fee might he pay last month? (10%)

1. Staurolite 的中文名稱是什麼?屬於哪一個晶系?

2. Staurolite 屬於哪個點群?哪個空間群?

3. Staurolite 的比重是多少?硬度是多少?

4. Staurolite 含有不等量的氫,當生成溫度越高時,所含的氫會越多還是越少?當氫與氧鍵結時,此氧所屬八面體的哪一種金屬離子常會空缺?

5. Staurolite 是什麼顏色?一個晶胞中含有多少個氧原子?

6. Staurolite 的折射率最高可達到多少?最強X光繞射發生在哪兩個晶面間距?