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1 !"! #$%$&#$&'% %( )(

2 Systém má modulární stavbu. V multilicenci pro Masarykovu univerzitu jsou k dispozici moduly: Basic Statistics/Tables, Multiple Regression, ANOVA, Nonparametrics, Distribution Fitting, Advanced Linear / Nonlinear Models, Multivariate Explorartory Techniques, Industrial Statistics & Six Sigma. Velké množství informací o systému STATISTICA lze najít na webové stránce spolenosti StatSoft, která je jejím distributorem v eské republice ( Z této stránky vede rovnž odkaz na elektronickou uebnici statistiky. STATISTICA 6 má nkolik typ oken: spreadsheet (datové okno, má píponu sta, jeho obsah však lze exportovat i v jiných formátech). Do datového okna lze naítat datové soubory nejrznjších typ (nap. z tabulkových procesor, databázové soubory, ASCII soubory). workbook (má píponu stw). Do workbooku ukládají výstupy, tj. tabulky a grafy. Skládá se ze dvou oken, v levém okn je znázornna stromová struktura výstup, v pravém jsou samotné výstupy. V levém okn se lze pohybovat myší nebo kurzorem, mazat, pesouvat, editovat apod. Výstupy mohou sloužit jako vstupy pro další analýzy a grafy. report (má píponu str, lze ho uložit i ve formátu rtf, txt i htm). Pokud požadujeme, aby se výstupy ukládaly nejen do workbooku, ale i do reportu, postupujeme takto: Tools Options Output Manager zaškrtneme Also send to Report Window OK. Report se podobn jako workbook skládá ze dvou oken. Do reportu mžeme vkládat vlastní text, vysvtlující komentáe, poznámky apod. Tabulky a grafy lze v reportu i workbooku dále upravovat. okno graf (pípona stg, lze ho uložit i jako bmp, jpg, png a wmf). Získá se tak, že ve workbooku klikneme pravým tlaítkem na graf a vybereme Clone Graph. programovací okno (pípona svb). Slouží pro zápis program v jazyku STATISTICA Visual Basic. Mezi jednotlivými typy oken se pepínáme pomocí položky Window v hlavním menu.

3 !" # $"%&! "#$"%""&'(%&)) "'% * +", () -"./0/1./1203 )"' & 3$ "# ("", +$568 7)37 & 97& '7 ""3487: 7:(. : * ; <=> =? 5=@? / > =)3?,= &?,7&?, =9 ""3?,='A;"3+6 > ""3+5= / >@ B 2"C 5 $%& " )#,# >)"" 3 ", ( 9 56"3 *.,7D,.,E/ =F G, =A;=< 56A;=. $A3 :H,#: ",+ +3( Category výborn: velmi dobe: dobe neprospl: Missing Frequency table: X: známka z matematiky (zn Cumulative Percent Cumulative Percent , , , , , , , , , ,0000 Category výborn: velmi dobe: dobe neprospl: Missing Frequency table: Y: známka z anglitiny (znam Cumulative Percent Cumulative Percent , , , , , , , , , ,0000 ' <& "),# 56 * I"#=J =< 56=A;7"?C=0, = D H 2A; <& ) ),# 56 * I"#=-I"#=% 2#=< 56=A;=0, =% / >%, $ / >< (=A;

4 <& ",# 56 * H" : "3+5%,B= - 72 : & )K? 2 %8B 2< " 9 Sloupkový diagram. 8 Sloupkový diagram výborn velmi dobe dobe neprospl známka z matematiky 0 výborn velmi dobe dobe neprospl známka z anglitiny Výseový graf. Výseový graf. neprospl; 25% výborn; 20% neprospl; 40% výborn; 35% velmi dobe; 20% dobe; 10% velmi dobe; 15% dobe; 35% známka z matematiky známka z anglitiny 9 Polygon absolutních etností. 7,5 Polygon absolutních etností. 8 7,0 7 6,5 6 6,0 5 5,5 4 5,0 3 4,5 2 4,0 1 výborn velmi dobe: dobe neprospl: známka z matematiky 3,5 výborn velmi dobe: dobe neprospl: známka z anglitiny L <& C ",+C, 5 * %&3# 0,.#H /" 2 6> M7> " C= & 0A"= %8D= /" N, <& C C, 5

5 * %&3# 0, 6>M7> " C= %I = K = 120 Empirick á distribuní funkce. 45% Graf etnostní funkce % 35% 80 30% Percent of obs 25% 20% 15% 10% 5% výborn velmi dobe dobe nevyhovující 5 známka z matematiky 0% výborn velmi dobe dobe neprospl známka z matematiky O 4+# " : $" : (!9" * ": $" : ( *.,7D,.,E/ =F G, =A;=< 56A;=.,2 =.,2=1,, =.",C,, 4PA; < & ": Category výborn: velmi dobe: dobe neprospl: Missing Category výborn: velmi dobe: dobe neprospl: Missing Frequency table: X: známka z matematiky Cumulative Percent Cumulative Percent , , , , , , , , , ,0000 Frequency table: Y: známka z anglitiny Cumulative Percent Cumulative Percent , , , , , , , , , ,0000

6 <& ": Category výborn: velmi dobe: dobe neprospl: Missing Category velmi dobe: dobe neprospl: Missing Frequency table: X: známka z matematiky Cumulative Percent Cumulative Percent , , , , , , , , , ,0000 Frequency table: Y: známka z anglitiny Cumulative Percent Cumulative Percent , , , , , , , ,0000 Q? ",, )) <&,# 56 C C, *.,7D,.,E/ =/ =A;=.,, =0= A;=.",C 7@5@6A;. <& C C, 8?2/ N =9- # = 0>., =K K=K$+:" " 0>6(= I"#@=/" =." =A;IC ",% C< H <& ",3&3"3),#,# 56 *?2/ N =A"7 ", 2" %, C,,$ "%, CH,( ;,# Summary Frequency Table (znamky) Marked cells have counts > 10 (Marginal summaries are not marked) X Y Y výborn velmi dobe Y dobe Y neprospl Row Totals výborn velmi dobe dobe neprospl All Grps

7 Simultánní etnostní funkce. ; ",3&3"3),#,# Column Percent Row Percent Column Percent Row Percent Column Percent Row Percent Column Percent Row Percent Summary Frequency Table (znamky) Marked cells have counts > 10 (Marginal summaries are not marked) X Y Y Y Y Row výborn velmi dobe dobe neprospl Totals výborn ,00% 25,00% 28,57% 0,00% 57,14% 14,29% 28,57% 0,00% velmi dobe ,00% 50,00% 14,29% 0,00% 0,00% 66,67% 33,33% 0,00% dobe ,00% 0,00% 14,29% 20,00% 0,00% 0,00% 50,00% 50,00% neprospl ,00% 25,00% 42,86% 80,00% 0,00% 12,50% 37,50% 50,00%

8 -" # $"%& O, # ", " ", 7 $"%""&L(-) '% * +", ()?3 '%3)56& 3R ",SR " S %56": +", %. " " " &,,# QK >,##3 &, *.,=D,.,E/ =-,",7< 56= KT>=.$%5 99>O #&,,# $9LU$LQU$LQU"6 L >VW &, $LQU$QWU$QWU( Descriptive Statistics (o Minimum Maximum X 33, ,0000 Y 52, , "#&,# 9# " #&,# Q6 "#&,# L# " #&,# W 2 &, 58 $9LU$LQU$QWU$WU$9U$9LU$LQU "68 $LQU$QWU$WU$9U$9LU$LQU$QWU 9 <& # "5"6 * I"#=J =< 5="?C=0, = D =.",CD =LQW9LQA;=60>M % # > "" C 30A"3 + C

9 27% Histogram. 27% Histogram. 23% 23% 20% 20% 17% 17% 13% 13% 10% 10% 7% 7% 3% 3% 0% mez plasticity 0% mez pevnosti ' % * X#"3),#56"&),#&,,# * 1 =0< ==0C 6=A;="& N5N6? N5=-=N, 7" "",#Q $%=" " 5U95YPL(% " A; 0,"6 L <& C + ",+ ",+C, "5 * <& F G, "N5%& "&": & 2 " 2 %, +? 2 %, = I"#=I"#CD,-=2I"#CD,2=@ % $< (=A; Kategorie ChD Kategorie ChD Tabulka etností:rx (ocel) etnost Kumulativní Rel.etnost Kumulativní etnost rel.etnost 0, , , , , , , , , , , , , , , , ,0000 Tabulka etností:ry (ocel) etnost Kumulativní Rel.etnost Kumulativní etnost rel.etnost 0, , , , , , , , , , , , , , , , ,0000

10 120 Intervalová empirická distribuní funkce. 120 Intervalová empirická distribuní funkce mez plasticity mez pevnosti O.,# $,# ",3&3 "3),#,# (3),#&,,# "$56( * <!Q+ ","3)N5N6 ;,#,# Total Percent Total Percent Total Percent Total Percent Total Percent Total Percent Total Percent Total Percent Summary Frequency Table (ocel) Table: RX(7) x RY(7) RX RY RY RY RY RY RY RY Row (50,70> (70,90> (90,110>(110,130> (130,150>(150,170> (170,190> Totals (30,50> ,33% 5,00% 0,00% 0,00% 0,00% 0,00% 0,00% 13,33% (50,70> ,00% 5,00% 1,67% 0,00% 0,00% 0,00% 0,00% 6,67% (70,90> ,00% 6,67% 11,67% 1,67% 1,67% 0,00% 0,00% 21,67% (90,110> ,00% 0,00% 10,00% 13,33% 1,67% 0,00% 0,00% 25,00% 110,130> ,00% 0,00% 0,00% 6,67% 8,33% 0,00% 0,00% 15,00% (130,150> ,00% 0,00% 0,00% 0,00% 3,33% 8,33% 0,00% 11,67% (150,170> ,00% 0,00% 0,00% 0,00% 0,00% 1,67% 5,00% 6,67% All Grps ,33% 16,67% 23,33% 21,67% 15,00% 10,00% 5,00%

11 ; &3",3"3),#,# Row Percent Row Percent Row Percent Row Percent Row Percent Row Percent Row Percent Column Percent Column Percent Column Percent Column Percent Column Percent Column Percent Column Percent Summary Frequency Table (ocel) Table: RX(7) x RY(7) RX RY 1 RY 2 RY 3 RY 4 RY 5 RY 6 RY 7 Row Totals ,50% 37,50% 0,00% 0,00% 0,00% 0,00% 0,00% ,00% 75,00% 25,00% 0,00% 0,00% 0,00% 0,00% ,00% 30,77% 53,85% 7,69% 7,69% 0,00% 0,00% ,00% 0,00% 40,00% 53,33% 6,67% 0,00% 0,00% ,00% 0,00% 0,00% 44,44% 55,56% 0,00% 0,00% ,00% 0,00% 0,00% 0,00% 28,57% 71,43% 0,00% ,00% 0,00% 0,00% 0,00% 0,00% 25,00% 75,00% All Grps Summary Frequency Table (ocel) Table: RX(7) x RY(7) RX RY 1 RY 2 RY 3 RY 4 RY 5 RY 6 RY 7 Row Totals ,00% 30,00% 0,00% 0,00% 0,00% 0,00% 0,00% ,00% 30,00% 7,14% 0,00% 0,00% 0,00% 0,00% ,00% 40,00% 50,00% 7,69% 11,11% 0,00% 0,00% ,00% 0,00% 42,86% 61,54% 11,11% 0,00% 0,00% ,00% 0,00% 0,00% 30,77% 55,56% 0,00% 0,00% ,00% 0,00% 0,00% 0,00% 22,22% 83,33% 0,00% ,00% 0,00% 0,00% 0,00% 0,00% 16,67% 100,00% All Grps Q <& "$N5N6( * <, 2/ N 9-# < 30>., $"N5"N6(3 K K=K

12 Stereogram: RY x RX V? 3) ) "$56( * I"#=., "=< C=A; 200 Dvourozmrný tekový diagram mez pevnosti mez plasticity

13 .$%##%//0"1/ /2 $"%& %,+"3 # ()?3 "'% "3 #,#<) "! ",#%" $V( *.,=D,.,E/ =-,".,=A;7< 56 A;= T"" G Z =. X Y Descriptive Statistics (znamky) Median Lower Upper Quartile Quartile Quartile Range 2, , , , , , , ,500000?3 '% ", " "3,+"3 3#"<) "! ",#%" $9( *.,=D,.,E/ =-,".,=A;7< 56 A;= K.- <, =. <3 8N"3,#./0/1./12B : ",# ":./0/1./120,")" " ":E E$7( Descriptive Statistics (ocel) Mean Variance Std.Dev. X Y 95, ,240 32, , ,125 32, [ & 3: "3" "": 3B> + +#)"3" "&,#: / &,"&8/&" ",# 'WOW""& 45 " "3"3 ),# 4 5,#&,#",# ' L O Q V W L L L L L L L ' 9 'W 9 ' W <"3 "3$ ("$, ($ H ("$(" "3"3 ),#,#&,#",#? "+,#

14 * %&./0/1./1;6& &"3+"&"<", 5$:(,#",,#" %3+ " 5.;.;.;9<, -,"., < 5 " \,#" ": ",) ",,# 4 \ #.;.AA;= K <,. H ;=.- "5 ") =!'+RD+: S/+:! " \ #.;.;9 "$5H #.;( Descriptive Statistics Mean Variance Skewness Kurtosis X 5, , , , "$5H #.;( Descriptive Statistics Mean Variance Skewness Kurtosis X 5, , , , "$5H #.;9( Descriptive Statistics (cischar) Mean Variance Skewness Kurtosis X 5, , , , Sloupkový diagram. 60 Sloupkový diagram X váženo pes SK1 X váženo pes SK2

15 10 Sloupkový diagram X váženo pes SK3 1 ", 8<,#&"):"3" " "N: ""3"3 ),# +

16 34 $"%& %,+" * " ) ()?3 "'<"3." C, ",# "": ": 4+) " $." C, 3&3,# "3),#>" ", 8 n 6 2 r = 1 R Q S 2 ( n 1) ( i i ) n i= 1 N "&> 7" 3,##> > +]> Z "& ( * %.,=?",=2 =A;= < F 5., 6=A;=." N% 7. " :,,?",2.,2 =.",C,,4P %,# Pair of s Spearman Rank Order Correlations (zna MD pairwise deleted Marked correlations are significant at p < Valid Spearman t(n-2) p-level N X & Y 20 0, , , %: $C4P( Pair of s R Spearman Rank Order Correlations (zna MD pairwise deleted Marked correlations are significant at p < Valid Spearman t(n-2) p-level N X & Y 10 0, , , %: $C4P( Spearman Rank Order Correlations (zna MD pairwise deleted Marked correlations are significant at p < Valid Spearman t(n-2) p-level Pair of s N R X & Y 10 0, , , R <3 )% # C, 8?3 ' ) # " '5'<"3 % C,, "3),#$56($56($569($5'6'(": ),#,"3),#

17 3) ) % "3),# #% C, #3 ^ *.,=D.,E/ =2, =A;=A 5 6=A;=.82 >=?%,7K % 2 =0, E"=-., "=A;=F5.,6=A; 0,", "3),# X Y1 Correlations (korkoe X Y1 1, , , , X Y2 Correlations (korkoe X Y2 1, , , , X Y3 Correlations (korkoe X Y3 1, , , , X4 Y4 Correlations (korkoe X4 Y4 1, , , , Y1 Y3 Dvourozmrný tekový diagram r = 0, X Dvourozmrný tekový diagram r = 0, X Y2 Y4 Dvourozmrný tekový diagram r = 0, X Dvourozmrný tekový diagram r = 0, X4 9?3./0/1./1;6'<"3,% C,, ", " % ) ",#%" $9( * %.,7K" N 7< 1 " 5- " 6=A;=A;=N E"7",=-,",= 2, % # C, 2 2, <3 8;,./0/1./12B : ",#":./0/1./12B,")", ":E E$7(

18 X Y Correlations (ocel) X Y 1, , , , X Y Covariances (ocel) X Y 1070, , , ,125 ' C, "& " ", >, # " 7 ",? "&3+# +# * <, K" N < 1 " 5- " 6= A;=.8N < )", C, ",D & +1, " C, ",D& +5 >, " N %)" " +# N E"E",%, " 587A;< )", # # %,? "&8?K" N =N E"E ",=% C =., "=D, =56=A; [)"8-3+# +# "&:, -., " F@ A; Statistic Multiple R Multiple R2 Adjusted R2 F(1,58) p Std.Err. of Estimate Summary Value 0,9345 0,8734 0, ,0641 0, ,7677 X Intercept Predicted -95,0%CL +95,0%CL Predicting Values for (ocel) variable: Y B-Weight Value B-Weight * Value 0, , , , , , ,9392 N=60 Intercept X Regression Summary for Dependent : Y (ocel) R=, R2=, Adjusted R2=, F(1,58)=400,06 p<0,0000 Std.Error of estimate: 11,768 Beta Std.Err. B Std.Err. t(58) p-level of Beta of B 24, , , , , , , , , ,000000

19 200 Regresní pímka me ze pevnosti na mez plasticity. Y = 24,5881+0,9367*x mez pevnosti mez plasticity L #3),#+" &,# $"3>() ;!: $"3(-8 (1,35), (1,52), (3,81), (3,105), (5,100), (6,125), (7, 120) -3 C,<,& 8 P_ `_ >P_ `_ a>p_ `_ >P_ `_ E>< ) " >, #),#") & * -)"3)56"b "3+.ZN/5@AI51?<5 J"3+.ZN/5 " PG$>($0, ""3+(N )" : "3+ # "35".ZN/5@AI5,1?<5 K "35 Statistic Multiple R Multiple R2 Adjusted R2 F(1,5) p Std.Err. of Estimate Summary Statistics; DV: Y (stroje) Value 0, , , , , ,48711 X Intercept Predicted -95,0%CL +95,0%CL Predicting Values for (stroje) variable: Y B-Weight Value B-Weight * Value 13, , , , , , ,2179 N=7 Intercept X Regression Summary for Dependent : Y (stroje) R=, R2=, Adjusted R2=, F(1,5)=24,099 p<,00444 Std.Error of estimate: 15,487 Beta Std.Err. B Std.Err. t(5) p-level of Beta of B 39, , , , , , , , , ,004439

20 140 Regresní pímka. y=39, ,1496*x 120 Y = náklady na údržbu K, X = stáí stroje Statistic Multiple R Multiple R2 Adjusted R2 F(1,5) p Std.Err. of Estimate Summary Statistics; DV: Y (stroje) Value 0, , , , , ,82508 SQRTX Intercept Predicted -95,0%CL +95,0%CL Predicting Values for (stroje) variable: Y B-Weight Value B-Weight * Value 48, , ,1194-0, , , ,5880 N=7 Intercept SQRTX Regression Summary for Dependent : Y (stroje) R=, R2=, Adjusted R2=, F(1,5)=37,433 p<,00169 Std.Error of estimate: 12,825 Beta Std.Err. B Std.Err. t(5) p-level of Beta of B -0, , , , , , , , , , Regresní pímka. Y = -0, ,55972*sqrt(x) Y ,8 1,0 1,2 1,4 1,6 1,8 2,0 2,2 2,4 2,6 2,8 SQRTX

21 K "&, # Statistic Multiple R Multiple R2 Adjusted R2 F(1,5) p Std.Err. of Estimate Summary Value 0, , , , , ,45245 INVX Intercept Predicted -95,0%CL +95,0%CL Predicting Values for (stroje) variable: Y B-Weight Value B-Weight * Value -84,4832 0, , , , , ,4738 N=7 Intercept INVX Regression Summary for Dependent : Y (stroje) R=, R2=, Adjusted R2=, F(1,5)=40,010 p<,00146 Std.Error of estimate: 12,452 Beta Std.Err. B Std.Err. t(5) p-level of Beta of B 126,6192 7, , , , , , , , , Regresní pímka. y=126, ,4832/x Y ,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1,0 1,1 K INVX Statistic Multiple R Multiple R2 Adjusted R2 F(1,5) p Std.Err. of Estimate Summary Statistics; DV: Y (stroje) Value 0, , , , , ,26153 LOGX Intercept Predicted -95,0%CL +95,0%CL Predicting Values for (stroje) variable: Y B-Weight Value B-Weight * Value 93, , , , , , ,6247 N=7 Intercept LOGX Regression Summary for Dependent : Y (stroje) R=, R2=, Adjusted R2=, F(1,5)=50,033 p<,00087 Std.Error of estimate: 11,262 Beta Std.Err. B Std.Err. t(5) p-level of Beta of B 44, , , , , , , , , ,000874

22 140 Regresní pímka. y=44, ,2347*log(x) Y ,1 0,0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 LOGX? # >, <),#& týdenní náklady na údržbu (v K) stáí stroje v letech y yodh1 yodh2 yodh3 yodh4

23 5$%#122# 2/"6./0/1./120" #,#C,#: A,+: $C, 1D$>"( >"!"3,#""3"!"3,# ", )" "( $"%&2"6 Pojišovna zjistila, že 12% pojistných událostí je zpsobeno vloupáním. Jaká je pravdpodobnost, že mezi 30 náhodn vybranými pojistnými událostmi bude zpsobeno vloupáním ( ) O ( "bo,( "3O ( "3^?# 5" "),#" ),#" 5cD$9d( (%$5]O(Pe$O(PW9W9 (%$5fO(P=%$5]L(P7e$L(P'9,(%$5PO(Pe$O(7e$L(PVL (%$]5]L(Pe$L(7e$(PQ'OW () A & )) &"3) "&" -@? "3+" P1D$Odd9( -@? "3+" P71D$Ldd9( -@? 9"3+" P1D$Odd9(71D$Ldd9( -@? 9"3+" P1D$Ldd9(71D$dd9( ( %$5]O(Pe$O(P1D$Odd9(PW9W9W9 ( %$5fO(P=%$5]L(P7e$L(P=1D$Ldd9(P'9QQ,( %$5PO(P%$5]O(=%$5]L(P1D$Odd9(71D$Ldd9(PV'Q ( %$]5]L(P%$Y5]L(Pe$L(7e$(P1D$Ldd9(7 1D$dd9(PQ'OWL9 %& "/ "3","'8 (&3'7' P!"3,#P,#", "3"!"3,#ϑPL 5" ),#,#", ( %$5PL(P%$5]L(=%$5]'(Pe$L(7e$'(P1D$LdLd(7 1D$'dLd(P'OW' ( %$9]5]V(P%$Y5]V(Pe$V(7e$(P1D$VdLd(71D$dLd(P W9'LQ

24 (&3'' PQ!"3,#P"3# '#"3"!"3,#ϑP 5" "3# ) %$5P9(P%$5]9(=%$5](Pe$9(7e$(P1D$9ddQ(71D$ddQ(P'OV %$5]9(P1D$9ddQ(PWOOOLO %$5f9(P=%$5Y9(P=%$5](P=e$(P71D$ddQ(P'V9 (&3'-' g"3,# )#" 3)" & : %3"!"3,#ϑPL5"!"3,# ( P' ( PV (%$5P9(P%$5]9(=%$5](Pe$9(7e$(P1D$9dLd'(71D$dLd'(P L (%$5PL(P%$5]L(=%$5]'(Pe$L(7e$'(P1D$LdLdV(71D$'dLdV(P VQL (&3'.' P!"3,# "&,"&#&, ϑpevpl 5"!"3,# %$5f(P=%$5Y(P=%$5](P=1D$dLd(PW9QW (&3'3' PL!"3,# "& "&#& ϑpeo 9 PEO 5"!"3,# %$5P(P%$5](=%$5](Pe$(7e$(P1D$dEOdL(71D$dEOdL(P

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28 9 $%#& /:": //%/#' $"%&'%"3 " #&"&- # :"&,# " #);:)"&:"3"V?# 5" ),#"&<"3 & #"#+ 5 5)#9' "3"C, h$(ph$(pvip Oh$9(PV ipvh$'(pv 9 i`v ' PLh$(P B$5(Pi`iO`9iV`'iLPWL -$5(P i` io`9 iv`' il=wl P'OWQ () A & ))&,#"&",#"3"3),# + >"$>(>i"$>(>>i"$>(%"3" ##+ 5## "3"C, -& "3+: >h$>( $@ " Pi(+> $@ " Pj("+ > h$>($@ " 'i( > "$>( >i"$>( > >i"$>( O 9 ' O' 9 V 9V' W L ' L 'V O VW <)"B$5(-$5(" 8.,=D,.,E/ =-,".,=< >i"$>(>i"$>(= A;.7. %3. H" 8-=/" =F %3>i"$>("& B$5($ : B$5(PWL(%& $ H("3-$5( #@ " P7j < : -$5(P'OWQ x*pi(x) xkvadrat*pi(x) Descriptiv Sum 2, ,18400 Vzorový píklad 2.?# 5"& : $,,#(# 6"& : $,,#[ "3"C, h$>(+##+# $56(8h$(Ph$(P'h$9(P h$'(ph$(ph$(p9oh$9(pwh$'(ph$9(ph$9(

29 PLh$99(Ph$9'(Ph$'(Ph$'(Ph$'9(Ph$''(PL h$>(p<"3 C,, "&: :?# 5# 6)#9'. #,#"3",#C,8h $(PLh $(PLLh $9(PLh $'(P Lh $>(Ph $(P9h $(P'Lh $9(Ph $(PLh $(P." B$5(PB$6(P-$5(PO-$6(PQ-, ")", : 2$56(P'W C,, N$56(P'WEaOaQPQO () D "& +%")" &,##" #)")", C,, % '"&""3),# 4 ")" &,##"":# k pílišné délce tabulky pro ob náhodné veliiny. > "$>( >i"$>( > >i"$>( L L L LL ' 9 L 'L W 9L ' L O V x*pi(x) xkvadrat*pi(x) Descriptiv Sum 20, ,0000 "$( i"$( i"$( 'L W ' V 9 O W V ' L O V y*pi(y) ykvadrat*pi(y) Descriptiv Sum 20, ,0000?& ))O"&",#'"3),# + >"$>(>ii"$>(-""3+" 99 99''''#+"3+9'9'9' 9' -& "3+" #"3"C, h$>(+ "3+: >h$>($@ " Pii9(

30 > "$>( >ii"$>( ' V 9 9 ' 9O '' 9 W L' ' 9 9 L W 9 ' ' ' ' 9 ' ' L V.,=D,.,E/ =< >ii"$>(=a;.=. x*y*pi(x,y) Descriptiv Sum 449,0000 %3. H"& B$56("& O),# "3),#B$5(B$6(-$5(-$6(2$56(N$56(-"3),#B$5(B$6(-$5(-$6( " " +& #"-@ "3+2$56(" P7 i9@ "3+N$56(" POEG$'iL( B$56( B$5( B$6( -$5( -$6( 2$56( N$56( >ii"$>( ''W O Q 'W QLOVO $"%&.'?# 5" "&#<"3 & #"?# 5)#9'LO[ "3"C, h$(peo h$(peoh$9(peoh$'(peoh$l(peoh$o(peoh$>(p B$5(P$EO($``9`'`L`O(PEOP9L B$5 (P$EO($`'`W`O`L`9O(PWEO -$5(PB$5 (=kb$5(l P WEO='WE'P9LE () A & ))&,#"&",#"3"3),# + >"$>( >i"$>(>>i"$>(%"3" ##+ 5## "3"C, $@ " PEO( -& "3+: >h$>($@ " Pi(+> $

31 @ " Pj("+> " 'i( > "$>( >i"$>( > >i"$>( OOOOOOOQ OOOOOOOQ OOOOOOOQ OOOOOOOQ ' OOOOOOOOQ 9 OOOOOOOQ L W L ' OOOOOOOQ OOOOOOOOQ O OOOOOOOQ L OOOOOOOQ V L 'OOOOOOQ O OOOOOOOQ 9O O <)"B$5(-$5(" 8.,=D,.,E/ =-,".,=< >i"$>(>i"$>(= A;.=. %3. H" 8-=/" =F %3>i"$>("& B$5($ : B$5(PWL(%& $ H("3-$5( #@ " P7j < : -$5(P'OWQ x*pi(x) xkvadrat*pi(x) Descriptiv Sum 3, ,16667 $"%&3'-+#) $5 5 ("3"C, #h$7(p,h$(ph$(ph$7(ph$7(ph$(ph$(p Ph$(P,h$(P9,h$>(P,"3 N$5 5 (?# 5 )## 5 )#=. #"3"C, ) P,P. #,#"3",#C,8h $(Ph $(P'h $(P Lh $>(Ph $7(Ph $(PLh $(P'h $(P." B$5(PB$6(P-$5(PO-$6(PQ-, ")", : 2$56(P'W C,, N$56(P'WEaOaQPQO () D "& &+%")" &,##" & ")", C,, % "9"&"L"3),# > "$>( >i"$>( > >i"$>( ' ' ' L '

32 x1*pi(x1) x1kvadrat*pi(x1) Descriptiv Sum 1, , > "$>( >i"$>( > >i"$>( 7 7 L ' ' ' x2*pi(x2) x2kvadrat*pi(x2) Descriptiv Sum 0, ,500000?& ))W"&",#'"3),# + >>"$>>(>i>i"$>>(-""3+" #+"3+=77-& "3+" # "3"C, h$> > (+"3+: > > h$> > ( $@ " Pii9(( > > "$>>( >i>i"$>>( '.,=D,.,E/ =< >i>i"$>>(=a;.=. x1*x2*pi(x1,x2) Descriptiv Sum 0, %3. H"& B$5i5("& O),# "3),#B$5(B$5(-$5(-$5(2$55(N$55(-"3),#B$5(B$5( -$5(-$5(" " +& #"-@ "3+2$56( " P7i9@ "3+N$56(" POEG$'iL( B$5i5( B$5( B$5( -$5( -$5( 2$55( N$55( >i>i"$>>( O ' 9 '' ' V '9QW

33 ;/"%/# )%"%/#.," "!"3,# "3"!"3,# < % ),##,%, ":!"3,# / " ","./0/1./120!"3,#""$% " LL L( ( < #),#? 7#+# YLdU"":!"3)7: ",4!"3,#%"" ", C,!"3,#"" * F =? H=? C? C, =A;"3 "&?2@? " PN$(A;$F, N$( #+ ("3"& %A2B/-=N, , 1C?2UPL2 81, 1C?2YL? H< A;$%3 %A2B/!"3,#!"3,#(<" "3"3+%A2B/$!"3,#(% " "!"3,#"?: ",#"&"B=- =2 7F2 /2 A;4" "3+?2%A2B/" "3"3+%A2B/ %"" : "&"%& )) "3),#""&",#" #"?, 3) ) " Frequency table: POCET (Ezvc) Cumulative Percent Cumulative Category Percent , , , ,0000 Missing , ,0000 Frequency table: POCET (Ezvc) Cumulative Percent Cumulative Category Percent , , , ,0000 Missing , ,0000 Frequency table: POCET (Ezvc) Cumulative Percent Cumulative Category Percent , , , ,0000 Missing , ,0000

34 Frequency table: POCET (Ezvc) Cumulative Percent Cumulative Category Percent , , , ,0000 Missing , ,0000 Frequency table: POCET (Ezvc) Cumulative Percent Cumulative Category Percent , , , ,0000 Missing , ,0000 Frequency table: POCET (Ezvc) Cumulative Percent Cumulative Category Percent , , , ,0000 Missing , ,0000 Frequency table: POCET (Ezvc) Cumulative Percent Cumulative Category Percent , , , ,0000 Missing , ,0000 Frequency table: POCET (Ezvc) Cumulative Percent Cumulative Category Percent , , , ,0000 Missing , ,0000 Frequency table: POCET (Ezvc) Cumulative Percent Cumulative Category Percent , , , ,0000 Missing 0 2 0, ,0000 Frequency table: POCET (Ezvc) Cumulative Percent Cumulative Category Percent , , , ,0000 Missing 0 5 0, ,0000 L L L " 'WQL 'W 'VV L LV L' O ' L

35 0,65 0,60 0,55 0,50 0,45 Dvouroz mrný tekový diagram. Závislost relativní etnosti úspchu na potu pokus. p 0,40 0,35 0,30 0,25 0,20 0, n

36 = 1 1 < >,#),# >N$(P%, 3# 5P5 ``5 7O"&:3:?$( * <& ))9"3),#"&",#A & ",./0/1./120<1.0@D0.12$F =? H=K,$.<D(% =?,=A;(" "&8 Dim s As Spreadsheet Set s = ActiveSpreadsheet For i = 1 To 12 s.(i).fillrandomvalues ' do promnných v1 až v12 se uloží náhodná ísla ' z intervalu(0,1) Next i s.longname(13) = "=Sum(v1:v12)-6" ' do promnné v13 se uloží souet promnných v1 až v12 ' zmenšený o 6 s.recalculate 4 # "3),#9",## # : N$(?$( - " "3""3),#9",& #" #+ : N$($B$5(PL-$5(PEPV99( #+ :?$($B$5(P-$5(P( [ #),# ),# $( [,#,)"3 P'WQ'W" PV9Q'.& #N$( B$5(PL"-$5(PEPV999

37 Descriptive Statistics Mean Variance v1 0, , v13 0, , [ # 9P```=O ", 7 3:?$($"& 3& ""),#, +#+ 3( 0,)"39 P9WOLO" PWQ.& #5?$( B$5(P"-$5(P <?@ 1 %,./0/1./1;6" "& "/ "3", 8 6 ="!"3,#""P"),# ),#" "3"!"3,#ϑP96 >D$9(B$6 (P nϑp9-$6 (P nϑ 1 ϑ P ( ) A %# Y P 20 Y 40 = P Φ e$>( C, :?$( ( ) Φ 0, = () F =? H=? C? C, =A;? P1?$EG$(dd(71?$7EG$(dd(A;$F, 1?$>dd (" #C, 3>#: & #3,# ( (&%%# P 20 Y 40 = P 19 < Y = Φ 40 Φ 19 e$>( C, : D$9( ( ) ( ) ( ) ( ) 0, =

38 ()? P1D$'d9d(71D$Wd9d($F, 1D$>d"d(" #C, 3>,+#: " "( % #& "&9LO (&''.' P'ϑP!"3,# "3 ϑpvϑ$7ϑ(po' ">)" 8%$6 ' UWO( 71?$OEVdd(PQL "& ))" 8%$6 ' UWO(P=1D$WOdd'(P'O' (&''5' PϑPLL!"3,#,#", ϑpllϑ$7ϑ(p'wqql Úkol (a) ">)" 8%$6 ]L( 1?$7LEG$'WQQL(dd(P9'' "& ))" 8%$6 ]L(P1D$LdLLd(P9'Q g$( ">)" 8%$'WWWY6 ]L9( 1?$LEG$'WQQL(dd(7 1?$7LEG$'WQQL(dd(PWWQ9WW "& ))" 8%$'WWWY6 ]L9(P1D$L9dd(=1D$'WWWdd(P WWQ' (&''' PϑPL!"3,# # +#) ϑplϑ$7ϑ(p'ql ">)" 8%$6 ]Q( 1?$EG$'QL(dd(PWWV'L "& ))" 8%$6 ]Q(P1D$QdLd(PWWQOQ