统计学原理Ⅱ期终考试试题

统计学原理Ⅱ期终测试试题

（June,2007）

Class Name Number Score Part Ⅰ Translate the following statistical terms into Chinese (18 points)

1、interval scale

2、per capita national income

3、kurtosis

4、quantitative variable

5、census

6、Laspeyres index

7、population

8、frequency histogram

9、harmonic mean

10、independent variable

11、stock price indexes

12、least squares method

Part Ⅱ Calculating（52 points）

1、(15 points) According to the data given in Table(1),using the index system ,analyze the reasons to cause the relative and absolute changes (相对和绝对变化)of the production value（产值）

Product （产品）Output Price

（yuan）

q0 q1 p0 p1

A 550 800 120 125

B 80 75 2500 2800

C 2300 2500 500 520

Table(2) ,please solve the following problems: Table（2）The yield of beer in “A” firm

Year Spring Summer Fall Winter

2003 60 98 72 55

2004 65 102 78 60

2005 66 128 80 70

2006 79 125 90 72

(1)calculate the seasonal indexes

contemporaneous average method （同期数据平均法）

(2) Forecast the yield in the later 3 seasons of 2007,

given the yield in the first season is 80 million ton

3、（15 points）Given the following data in Table(3)

please solve the following problems:

score（points）Number of People（people）

90 and above 5

80-90 15

70-80 14

60-70 10

Under 60 6

Total 50

Draw a bar chart

frequency distribution

（2）Calculate the arithmetic mean ,the median, the

mode ,the standard deviation and the coefficient of standard deviation(标准差系数) .

4、（12 points）Fit a regression line to the following

time-series data given in Table(4), using the reduced formula of the least squares method（最小平方法的简化公

式）,then predict the output in 2007：

Year 2001 2002 2003 2004 2005 2006 output

23 26 28 32 35 36

（ton）

（10 points）

1) Countif (range, criteria)

2) Geomean (number1,number2,……)

3) Var (number1,number2,……)

4) Pearson (array1, array2,……)

5) Kurt (number1,number2,……)

Part Ⅳ Comprehensive Analysis（综合分析）（20 points）

Table (7)

height(cm) weight(kg)

120 22.0

125 23.0

118 23.5

117 21.0

123 24.0

128 28.5

115 19.5

121 24.0

122 22.5

128 30.0

116 21.5

120 23.5 SUMMARY OUTPUT

回归统计

Multiple R 0.872801

R Square 0.761782

Adjusted R

Square

0.73796

标准误差 1.523365

观测值12

方差分

析

df SS MS F Significance

F

回归分

析

1 74.21026 74.21026 31.97836 0.000211★