DANE zadania dopasowania linii prostej y=x1+x2*t |
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Przełącznik zadanych błędów a priori: |
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1 |
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j |
t |
y |
s |
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1 oznacza różne błędy, 0 oznacza równe błędy |
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1 |
0,0 |
1,4 |
0,5 |
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2 |
1,0 |
1,5 |
0,2 |
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Wybrano RÓŻNE błędy |
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3 |
2,0 |
3,7 |
1,0 |
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4 |
3,0 |
4,1 |
0,5 |
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2,675 |
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ROZWIĄZANIE |
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Macierze: |
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-1,0 |
0,0 |
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4,0 |
0,0 |
0,0 |
0,0 |
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-1,0 |
-1,0 |
-1,0 |
-1,0 |
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A= |
-1,0 |
-1,0 |
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Gy= |
0,0 |
25,0 |
0,0 |
0,0 |
AT= |
0,0 |
-1,0 |
-2,0 |
-3,0 |
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-1,0 |
-2,0 |
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0,0 |
0,0 |
1,0 |
0,0 |
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-1,0 |
-3,0 |
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0,0 |
0,0 |
0,0 |
4,0 |
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Obliczenia: |
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AT*Gy= |
-4 |
-25 |
-1 |
-4 |
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AtGyY= |
-63,2 |
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0 |
-25 |
-2 |
-12 |
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-94,1 |
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AT*Gy*A= |
34 |
39 |
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39 |
65 |
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(AT*Gy*A)^(-1)= |
0,09433962264151 |
-0,056603773584906 |
=Cx |
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-0,056603773584906 |
0,049346879535559 |
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x= |
0,636 |
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dx= |
0,307 |
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1,066 |
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0,222 |
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0,636 |
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-0,09433962264151 |
-0,037735849056604 |
0,018867924528302 |
0,075471698113208 |
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0,09433962264151 |
0,037735849056604 |
-0,018867924528302 |
-0,075471698113208 |
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eta= |
1,702 |
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Cx*AT= |
0,056603773584906 |
0,007256894049347 |
-0,042089985486212 |
-0,091436865021771 |
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0,037735849056604 |
0,030478955007257 |
0,02322206095791 |
0,015965166908563 |
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2,768 |
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Ceta= |
-0,018867924528302 |
0,02322206095791 |
0,065312046444122 |
0,107402031930334 |
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3,834 |
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-0,075471698113208 |
0,015965166908563 |
0,107402031930334 |
0,198838896952104 |
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0,307 |
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deta= |
0,175 |
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0,256 |
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0,446 |
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0,764 |
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3,05660377358491 |
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e= |
-0,202 |
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eT= |
0,764 |
-0,202 |
0,932 |
0,266 |
Gy*e= |
-5,05079825834545 |
R= |
4,50653120464441 |
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0,932 |
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0,931785195936138 |
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0,266 |
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1,06240928882437 |
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PODSUMOWANIE: |
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Wyznaczone stałe dopasowania liniowego: |
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x1= |
0,636 |
x2= |
1,066 |
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Błędy standardowe stałych dopasowania: |
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dx1= |
0,307 |
dx1= |
0,222 |
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Współczynnik korelacji x1 i x2 : |
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r(x1x2)= |
-0,830 |
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Poprawki pomiarów: |
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e1= |
0,764 |
e2= |
-0,202 |
e3= |
0,932 |
e4= |
0,266 |
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Błędy pomiarowe a priori: |
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d1= |
0,500 |
d2= |
0,200 |
d3= |
1,000 |
d4= |
0,500 |
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Błędy pomiarowe a posteriori: |
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d1= |
0,307 |
d2= |
0,175 |
d3= |
0,256 |
d4= |
0,446 |
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WNISKOWANIE STATYSTYCZNE |
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TEST c2 DOPASOWANIA |
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Statystyka testowa: |
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R= |
4,51 |
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Poziom istotności: |
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a= |
0,05 |
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Liczba stopni swobody |
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k= |
2 |
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Wart. kryt. statystyki: |
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c2= |
5,99 |
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Wniosek: |
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Przyjmij dopasowanie jako dobre |
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ANALIZA WARIANCJI |
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SS |
DF |
MS |
F |
p |
UWAGA: wyniki własciwe tylko dla jednakowych błędów a priori |
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regresja |
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45,685 |
1 |
45,685 |
20,2748929146538 |
0,045949261358921 |
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resztkowa |
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4,507 |
2 |
2,253 |
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Całkowita |
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50,191 |
3 |
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