統(tǒng)計(jì)學(xué)原理期終考試試題

1、統(tǒng)計(jì)學(xué)原理期終考試試題班級(jí)： 姓名： 學(xué)號(hào)： 成績(jī)： June 20 ,2006 Part Choose the best ONE answer for each of the following questions （ 10 points） 1、( ）Today the highest temperature is 320C， the value is obtained using（）a、nominal scale（尺度）b、ordinal scalec、interval scale d 、ratio scale 2、( )The consumer price index (CPI) in

2、China is constructed in the type of（）a、Fishers ideal index b、Laspeyres indexc、Paasche index d、Weighted arithmetic average index3、( )Pick out the average indicator（）a、Per capita （人均）GDP b、per capita national income c、per capita consumption of grain d、per capita output of grain 4、( )A survey that incl

3、udes every member of the population is called a（）a、censusb、sample surveyc、key-point investigation（重點(diǎn)調(diào)查）d、survey of typical cases（典型調(diào)查）5、（ ）If the coefficient of correlation between 2 variables ,r=0.82 ,we can say the 2 variables have（）a、no correlation b、low correlationc、significant correlation d、hig

4、h correlation Part Translate the following statistical terms into Chinese (15 points)1、 kurtosis 2、 quantitative variable3、 population4、 simple random sample5、 frequency histogram6、 weighted geometric mean7、 dependent variable8、 stock price indexes9、 least squares method10、 seasonal fluctuationPart

5、Calculating（55 points）1、(4 points)At the beginning of fiscal year （財(cái)政年度）2005,the U.S. government estimated the Table (1) breakdown of a projected $1,222.8 billion in state and local government receipts（收入）. Fill in the blanks in Table(1).Table (1) Estimated State and Local Government Receipts, Fisca

6、l Year 2005Receipt CategoryRelative Frequency(proportions)Absolute Frequency($ billions)Sales Taxes0.204Federal Aid0.192Property Taxes0.171Individual Income Taxes0.120Corporate Income Taxes0.026All OthersTotal1,222.82、(12 points) According to the data given in Table(2),using the index system ,analyz

7、e the reasons to cause the relative and absolute changes (相對(duì)與絕對(duì)變化)of the total average wage（總平均工資）Table（2）classNumber of workersWage per month（yuan /month）f0f1X0X1Mechanic700660800860Worker300740500550Total100014007106962、（12 points）According to the data given in Table(3) ,please solve the following

8、 problems:Table（3）The yield of watermelon in “A” farm（unit：1000 ton）YearSpringSummerFallWinter200322721053120043075118342005358713040(1)calculate the seasonal indexes （季節(jié)指數(shù)） using contemporaneous average method （同期數(shù)據(jù)平均法）(2) Forecast the yield in the later 3 seasons of 2006, given the yield in the fi

9、rst season is 38 ton 4、（12 points）Given the following data in Table(4) please solve the following problems:Table(4)Height（cm）Number of People（people）170 and above8165-17024160-16545155-16016Under 155 7Total 100（1）Draw a bar chart （柱形圖）to illustrate the frequency distribution（2）Calculate the arithmet

10、ic mean ,the median, the mode ,the standard deviation and the coefficient of standard deviation(標(biāo)準(zhǔn)差系數(shù)) . 5、（7 points）Using the following data in Table(5) ,please calculate the average month labor productivity(平均月勞動(dòng)生產(chǎn)率)（10000 Yuan /people）in the first half year of 2005 (2005年上半年)。 Table (5)Month12345

11、67Output（10000 yuan）60708090100110People at BOM500512520522526530534NOTE: BOMthe beginning of month（月初）6、（8 points）Fit a regression line to the following time-series data given in Table(6), using the reduced formula of the least squares method（最小平方法的簡(jiǎn)化公式）：Table(6)Year 200020012002200320042005Yield （

12、萬臺(tái)）505253565861Part Comprehensive Analysis（綜合分析）（20 points）Table (7)Sales(units)competitor's Price($/unit)YX52013550136001561015620167242168021300149624027012SUMMARY OUTPUT回歸統(tǒng)計(jì)Multiple R0.82354R Square0.678218Adjusted R Square0.637996標(biāo)準(zhǔn)誤差120.071觀測(cè)值10方差分析dfSSMSFSignificance F回歸分析1243094.1243094.1

13、16.861580.003408殘差8115336.314417.04總計(jì)9358430.4Coefficients標(biāo)準(zhǔn)誤差t StatP-valueIntercept228.890794.358672.4257520.041476X19.706074.7990014.1062860.003408RESIDUAL OUTPUT觀測(cè)值預(yù)測(cè) Y殘差標(biāo)準(zhǔn)殘差1485.069634.930350.3085612485.069664.930350.5735693524.481875.518210.6670984524.481885.518210.7554355544.187975.812140.6696

14、956642.718281.281790.7180127642.718237.281790.3293338504.7757-204.776-1.8089191017.134-55.1335-0.4870310465.3636-195.364-1.72577According to the output of regression analysis presented above, please answer the following questions:（1） Write out the steps (步驟) to process the regression analysis using

15、the Excel procedure （2） Write out the coefficient of correlation (相關(guān)系數(shù)) between the two variables, X and Y , mentioned above. Then illustrate the degree and the direction (相關(guān)方向及相關(guān)的程度)of the correlated relationship（3） Write out the regression equation(回歸方程)（4） Given , if the regression equation can pass though the significant