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1、AdvancedStatistics’15Quiz#12021/9/26StudentID#:Name:1.(20%)請繪製迴歸分析的分析流程圖，並做適當的說明。2.(5%)何謂iid?Independentandidenticallynormaldistributed.AdvancedStatistics’15Quiz#12021/9/26StudentID#:Name:＜3~5題的SPSSorEXCEL報表請上傳至LMS系統，並將簡要答案寫在試卷上＞1.(25%)Basedondatainthea

2、ttachedQuiz_1.xls,(SPSS)a.PerformdescriptivestatisticsonbothPurityXandPurityY.b.Plotstatisticalgraphsonbothdata.c.PerformhypothesistestingtocheckwhetherthepopulationmeansaredifferentforPurityXandPurityY.(Usea=0.05)PurityXPurityY平均數89.6591.62標準誤0.630.48中

3、間值90.1491.05眾數#N/A#N/A標準差3.432.62變異數11.766.89峰度0.411.49偏態-0.710.98範圍14.5012.09最小值80.3387.33最大值94.8399.42總和2689.402748.70個數3030信賴度(95.0%)1.2810.980AdvancedStatistics’15Quiz#12021/9/26StudentID#:Name:F檢定：兩個常態母體變異數的檢定　PurityXPurityY平均數89.6591.62變異數11.766.8

4、9觀察值個數3030自由度2929F1.707P(F<=f)單尾0.078>0.05不拒絕H0可假設兩母體變異數相等臨界值：單尾1.861　t檢定：兩個母體平均數差的檢定，假設變異數相等　PurityXPurityY平均數89.6591.62變異數11.766.89觀察值個數3030Pooled變異數9.327假設的均數差0自由度58t統計-2.507P(T<=t)單尾0.008<0.05拒絕H0臨界值：單尾1.672P(T<=t)雙尾0.015兩母體平均數有顯著差異(PurityY>PurityX)

5、臨界值：雙尾2.002　AdvancedStatistics’15Quiz#12021/9/26StudentID#:Name:1.(25%)Thenumberofpoundsofsteam(y)usedpermonthbyachemicalplantsisthoughttoberelatedtotheaverageambienttemperature(in°F)(x)forthatmonth.Thepastyear’susageandtemperatureareshownbelow.Pleasepe

6、rformaregressionanalysisonthedatausinga=0.05,andanswerthefollowingquestions.(EXCEL)MonthTemp.Usage/1000MonthTemp.Usage/1000Jan.21185.79July68621.55Feb.24214.47Aug.74675.06Mar.32288.03Sept.60562.03Apr.47424.84Oct.48452.93May53454.58Nov.41369.95June59539.

7、03Dec.30273.98a.Whatistheestimateofexpectedsteamusagewhentheaveragetemperatureis55°F?501.171b.Whatchangeinmeansteamusageisexpectedwhenthemonthlyaveragetemperaturechangesby1°F?9.241c.Supposethemonthlyaveragetemperatureis47°F.Calculatethefittedvalueofyand

8、thecorrespondingresidual.427.244,-2.404TempUsage平均數46.42421.85標準誤4.9846.11中間值47.5438.89眾數#N/A#N/A標準差17.24159.72變異數297.3625510.99峰度-1.10-1.12偏態0.010.02範圍53489.27最小值21185.79AdvancedStatistics’15Quiz#12021/9/26StudentID#:Name:最大值746