User manual - ALGEBRA_FX2.0

n Ãðàôèê ðåãðåññèè 2-é / 3-é / 4-é ñòåïåíè
Ãðàôèê óðàâíåíèÿ ðåãðåññèè 2-é / 3-é / 4-é ñòåïåíè ïðåäñòàâëÿåò ñîáîé ñîåäèíåííûå ìåæäó ñîáîé òî÷êè äèàã-
ðàììû ðàçáðîñà çíà÷åíèé. Ïðè ïîñòðîåíèè ýòîãî ãðàôèêà èñïîëüçóåòñÿ ìåòîä íàèìåíüøèõ êâàäðàòîâ. Êðè-
âàÿ ñòðîèòñÿ òàêèì îáðàçîì, ÷òîáû îêîëî íåå íàõîäèëîñü êàê ìîæíî áîëüøå òî÷åê. Ýòîò ãðàôèê ñòðîèòñÿ â
ñîîòâåòñòâèè ñ óðàâíåíèåì ðåãðåññèè 2-é / 3-é / 4-é ñòåïåíè.
Ïðèìåð óðàâíåíèÿ ðåãðåññèè âòîðîé ñòåïåíè.
Ðåãðåññèÿ 2-é ñòåïåíè
Ôîðìóëà ìîäåëè  y = ax
2
+ bx + c
a ......... Êîýôôèöèåíò óðàâíåíèÿ ðåãðåññèè 2-é ñòåïåíè
b ......... Êîýôôèöèåíò ëèíåéíîé ðåãðåññèè
c ......... Ïîñòîÿííûé ÷ëåí ôîðìóëû ðåãðåññèè (êîîðäèíàòà ïî îñè y ïðè x = 0)
Ðåãðåññèÿ 3-é ñòåïåíè
Ôîðìóëà ìîäåëè  y = ax
3
+ bx
2
+ cx + d
a ......... Êîýôôèöèåíò óðàâíåíèÿ ðåãðåññèè 3-é ñòåïåíè
b ......... Êîýôôèöèåíò óðàâíåíèÿ ðåãðåññèè 2-é ñòåïåíè
c ......... Êîýôôèöèåíò ëèíåéíîé ðåãðåññèè
d ......... Ïîñòîÿííûé ÷ëåí ôîðìóëû ðåãðåññèè (êîîðäèíàòà ïî îñè y ïðè x = 0)
Ðåãðåññèÿ 4-é ñòåïåíè
Ôîðìóëà ìîäåëè  x = ax
4
+ bx
3
+ cx
2
+ dx + e
a ......... Êîýôôèöèåíò óðàâíåíèÿ ðåãðåññèè 4-é ñòåïåíè
b ......... Êîýôôèöèåíò óðàâíåíèÿ ðåãðåññèè 3-é ñòåïåíè
c ......... Êîýôôèöèåíò óðàâíåíèÿ ðåãðåññèè 2-é ñòåïåíè
d ......... Êîýôôèöèåíò ëèíåéíîé ðåãðåññèè
e ......... Ïîñòîÿííûé ÷ëåí ôîðìóëû ðåãðåññèè (êîîðäèíàòà ïî îñè y ïðè x = 0)
n Ãðàôèê ëîãàðèôìè÷åñêîé ðåãðåññèè
 ôîðìóëå ëîãàðèôìè÷åñêîé ðåãðåññèè y âûðàæåí ÷åðåç ëîãàðèôì x. Ñòàíäàðòíàÿ ôîðìóëà ëîãàðèôìè÷åñ-
êîé ðåãðåññèè èìååò ñëåäóþùèé âèä: y = a + b× lnx. Òàêèì îáðàçîì, åñëè ìû ïðèìåì X = lnx, òî ýòà ôîðìóëà
áóäåò ñîîòâåòñòâîâàòü ôîðìóëå ëèíåéíîé ðåãðåññèè y = a + bX.
Íèæå ïðèâåäåíà ôîðìóëà ìîäåëè ëîãàðèôìè÷åñêîé ðåãðåññèè
6-3-6
Ðàñ÷åòû è ïîñòðîåíèå ãðàôèêîâ ñòàòèñòè÷åñêèõ äàííûõ äâóõ ïåðåìåííûõ