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7/23/2019 BTExel(6)-Ve Duong Cong Thuc Nghiem Bang Hoi Quy
http://slidepdf.com/reader/full/btexel6-ve-duong-cong-thuc-nghiem-bang-hoi-quy 1/15
VEÎ ÂÆÅÌNG CONG THÆÛC NGHIÃÛM
1) Veî âæåìng thæû ngh!"û# t$%"&n t'nh (*ng +hæång +h,-+ h
+hæång +h,-+ (3nh +hæång (e- nh4&t)
Vd: Tçm gia täúc vaì váûn täúc ban âáöu cuía 1 váût thãø biãút thåìi
T2) V#52) hæû ngh!"û# t.&! æ$)
6 66 6678 G!, t.&
8 86 817: Vt.& (
; ;6 ;176 Vthæû
: := :=7; (*ng
1= 1== 1==
h,% (*
,) Veî (!"&$ â./ h@ A- ?4&$ #,>Be>2
() Veî âæåìng (!"$ ?!"Dn t.&! æ$ hA 0$,- t>3nh ,F% >, Bh.ng ?
Vthæû ngh!"û# t.&! æ$)9G!, t.&Thåì! g!,nVt.& (,n â4/
) ,- âJnh ,- g!,- t>J t.&! æ$ hA 0$,- t>3nh ,F% >, (*ng h,ì
K,ì t.ng hå<+ $F, h,! 0$,- t>3nh ,) L,ì ()) L,ì +hæång t>3nh (
H,ì# t>en? K,ì 1 h,ì# #,Fng n"n +h,F! 4&n Ct>Kh!tEnte> â"
?) Veî âæåìng (!"$ ?!"n t.&! æ$ hA 0$,- t>3nh ,F% >, L,ì âæåì
t>J t!"&+ theA'h +h,F! h$.<t L,ìA #,>Be>2 (4&t B%ì5In2e>t t>en?K!ne
P,tte>n2Q ChA<n âæåìng #AFng hån hA ?"D th4&%
T%+eQ ChA<n âæåìng K!ne,> h,% ,- KA,û! âæåìng Bh,-
O+t!An2Q RA>e,2t â" ?æû âA,-n hA ,- g!,- t>J ngA,ì! L$ìng â
!2+K,% e0$,t!An An h,>tQ th" h!"ûn +hæång t>3nh tA
$ hæå-ng
!2+K,% U20$,>e? An h,>tQ th" h!"ûn h"û 2.& ,- âJL"/ ,-h âût ?æî K!"û$ n*# Læì, t>"n 1 +t t$%"&n t
e) M$.&n t'nh hA 2.& K!"û$ Bh,- ?$ìng h,ì# T>en?
et !nte>e+tQ Leî Lå-! ,- # Bh,- nh,$ (khäng âaïnh
y=mx+b
1==
16=
V#52)
:=
1==
16=
1==
16=
7/23/2019 BTExel(6)-Ve Duong Cong Thuc Nghiem Bang Hoi Quy
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ãúu !häng v"# â$å%c â$åìng th$ûc nghiãûm täúi $u &vaì 'h
diã)n noï* thç chuïng ta 'haíi duìng 'h$ång 'haï' nä%i +u, nh
6) Vå-! 1 ?æî K!"û$ â, thæ- nh!"/$ (4û h$-ng t, +h,F! ?$ìng h,ì
$îng ?$ìng âæå< hA â, thæ- (4û nh4&t #,ì h$-ng t, â,î
H,ì# [INET A- h,! th,# h!"&$ 2,$ $ìng K,ìQ CAn2t9t>$e h,%
th3 ( âæå< t'nhS An2t9,K2eQ (9= L,ì (4% g!åì %9#
t,t!2t!29t>$eQ A- g!,- t>J U20$,>e?S n"&$ ,K2eQ Bh.ng A-
T, +h,F! L!"&t $- +h,-+ $F, nhæ 2,$Q \8ZQ\XX)]^1S6SWS8_ t
Vd:V"# â$åìng cong th$ûc nghiãûm th"o +äú -iãûu +au:
% %t'nh tA,-n)
= ZZZ ZZZ71:;18Y1:;1 æî K!"û$ th'h
1 ZZW ZZ671Z6;8=;Z6;
6 1=Y= 1=Y17688X::Y88;
W 18=X 18=87WY66Z8WY6W
8 66W6 66W17;Z;Z;Z;ZYX W:;X W:;X78W=YWXZW=Y
; ;;Z= ;;:Z7:Y;;6WWY;;
#1 #6 #W #8 (
W Z7Z:6W Y7ZX=: 167=6::;==6:Z ZZZ71Z
[æ$ %-Q
,) T>æå- h"&t h$-ng t, Leî h@ A- #,>Be>2S 2,$ âA- hA<n âæåìn
#,>Be>2() H,ì# [!ne2t hA >, ,- # L,ì (S L4û% tæång ?æång Lå-! h,ì# 2K
Â4% K,ì #.<t h,ì# #,FngS L4û% +h,F! â,-nh Ct>Kh!tEnte>
) G!,- t>J %t'nh tA,-n) $îng t'nh (*ng h,ì# T>en? tæång tæû
?) T, ?$ìng h,ì# T>en? â" t'nh ,- 2.& K!"û$ t!"&+ theA
V?Q 87X 6Z6X78WW8=YYW:1
1 6 W 8 X ; Y : Z 1= 11
=
6=
8=
;=
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V#52)
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6=
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Vthæûngh!"û# t.&!æ$)
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7/23/2019 BTExel(6)-Ve Duong Cong Thuc Nghiem Bang Hoi Quy
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X7X X1=17ZYZ;YWZY1Z
;7X :;::786W;;Y8Y:8
Y 111;1786:XY186:;
: 1Y:=:7XY186:XY18
W) Â./ thJ Bh.ng t$%"&n t'nhQ Lå-! âæåìng Ang #$î thæû ngh!"8) [æ$ %-Q Ch$-ng t, A- th" ?$ìng AKLe> â" g!,F! 0$%"&t L4&n â
g!,n A- h,ûn h$-ng t, Bh.ng â"/ 4û+ â"&n7
Phæång +h,-+ +h$ì hå<+ t.&! æ$ (e2t at) (*ng +he-+ (3nh +hæång
$ng 4&+ g!,- t>J nhAF nh4&t hA â,û! Kæå<ng
,- g!,- t>J thæû ngh!"û# L,ì g!,- t>J ?æû (,-A tæång æ-ng
Phæång +h,-+ (e2t at 2eî $ng 4&+ ,- g!,- t>J ,- th,# 2.& $F, +
+h$ì hå<+ nh4&t Lå-! ?æî K!"û$ thæû ngh!"û#
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7/23/2019 BTExel(6)-Ve Duong Cong Thuc Nghiem Bang Hoi Quy
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./! 0$% 2,n (*ng (*ng
ian vaì váûn täúc cuía noï
9 Z7Y
n â4/$9 W
ngh!"û# t.&! æ$) âæå< t'nh
g h,ì# T>en?
&$ #,>Be>2)
$
t>en?
!"$ ?!"Dn nA-
hA B"&t 0$,F
g $ hæå-ng ?æû âA,-n hA ,- g!,
,î A-S
-n hA< âæåìng
nhS K,ì #.<t +he-+ âA nh
dáúu vaìo âáy)
=mx+b
9
Ch,>t T!tKe
7/23/2019 BTExel(6)-Ve Duong Cong Thuc Nghiem Bang Hoi Quy
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ång t(çnh toaïn ho%c biãøu
âa# noïi åí 'háön t($åïc
[INET7 Nhæ L4û% nA-
e-t åF t>"n
Bh.ng gh! g3 ,F)
- â, thæ- (4û 8)
å<+ Lå-! 1 â, thæ- (4û 8
â, thæ- (4û 8 Bh.ng
A+e L,ì !nte>e+t
hæ +h4/n t>æå-
6 8 ; : 1= 16
7
V#52)
[!ne,>V#52))
W V Y7 ZX= YXY XYX :E]6 V 1 67= 6:: ;= =6: ZE H Z ZZ 71 :; 18Y 1: ;1
K %)
7/23/2019 BTExel(6)-Ve Duong Cong Thuc Nghiem Bang Hoi Quy
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# t, ?$ìng h,ì# [OGET/ (e2t atS t$% nh!"n thåì!
(e- nh4&tS h$-ng t, +h,F!
t>Ang âA- %1 L,ì %b1 K,ì
hæång t>3nh 2,A hA
7/23/2019 BTExel(6)-Ve Duong Cong Thuc Nghiem Bang Hoi Quy
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VEÎ ÂÆÅÌNG CONG THÆÛC NGHIÃÛ
1) Veî âæåìng thæû ngh!"û# t$%"&n t'nh (*ng +hæång +h
+hæång +h,-+ (3nh +hæång (e- nh4&t)Vd: Tçm gia täúc vaì váûn täúc ban âáöu cuía 1 váût thãø biãút
T2) V#52) æû ngh!"û# t.&! æ$)
6 66 6678 G!, t.&
8 86 817: Vt.& (
; ;6 ;176 Vthæû
: := :=7; (*ng
1= 1== 1==
h,% (
,) Veî (!"&$ â./ h@ A- ?4&$ #,>Be>2
() Veî âæåìng (!"$ ?!"Dn t.&! æ$ hA 0$,- t>3nh ,F% >, Bh.
Vthæû ngh!"û# t.&! æ$)9G!, t.&Thåì! g!,nVt.& (,n
) ,- âJnh ,- g!,- t>J t.&! æ$ hA 0$,- t>3nh ,F% >, (*n
K,ì t.ng hå<+ $F, h,! 0$,- t>3nh ,) L,ì ()) L,ì +hæång t>H,ì# t>en? K,ì 1 h,ì# #,Fng n"n +h,F! 4&n Ct>Kh!tEnte
?) Veî âæåìng (!"$ ?!"n t.&! æ$ hA 0$,- t>3nh ,F% >, L,ì
t>J t!"&+ theA
'h +h,F! h$.<t L,ìA #,>Be>2 (4&t B%ì5In2e>t t>en?K!ne
P,tte>n2Q ChA<n âæåìng #AFng hån hA ?"D th4&%
T%+eQ ChA<n âæåìng K!ne,> h,% ,- KA,û! âæåìng Bh,-
O+t!An2Q RA>e,2t â" ?æû âA,-n hA ,- g!,- t>J ngA,ì! L$
!2+K,% e0$,t!An An h,>tQ th" h!"ûn +hæång t>3n
$ hæå-ng
et !nte>e+tQ Leî Lå-! ,- # Bh,- nh,$ (khäng â
y=mx+b
7/23/2019 BTExel(6)-Ve Duong Cong Thuc Nghiem Bang Hoi Quy
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!2+K,% U20$,>e? An h,>tQ th" h!"ûn h"û 2.& ,-
L"/ ,-h âût ?æî K!"û$ n*# Læì, t>"n 1 +t t$%"
e) M$.&n t'nh hA 2.& K!"û$ Bh,- ?$ìng h,ì# T>en?
ãúu !häng v"# â$å%c â$åìng th$ûc nghiãûm täúi $u &v
diã)n noï* thç chuïng ta 'haíi duìng 'h$ång 'haï' nä%i +u
6) Vå-! 1 ?æî K!"û$ â, thæ- nh!"/$ (4û h$-ng t, +h,F! ?$ìng
$îng ?$ìng âæå< hA â, thæ- (4û nh4&t #,ì h$-ng t,
H,ì# [INET A- h,! th,# h!"&$ 2,$ $ìng K,ìQ CAn2t9t>$e
th3 ( âæå< t'nhS An2t9,K2eQ (9= L,ì (4% g!åì %9#t,t!2t!29t>$eQ A- g!,- t>J U20$,>e?S n"&$ ,K2eQ Bh.ng A
T, +h,F! L!"&t $- +h,-+ $F, nhæ 2,$Q \8ZQ\XX)]^1S6SWS
Vd:V"# â$åìng cong th$ûc nghiãûm th"o +äú -iãûu +au:
% %t'nh tA,-n)
= ZZZ ZZZ71:;18Y1:;1 æî K!"û$ th'h
1 ZZW ZZ671Z6;8=;Z6;
6 1=Y= 1=Y17688X::Y88;
W 18=X 18=87WY66Z8WY6W
8 66W6 66W17;Z;Z;Z;ZY
X W:;X W:;X78W=YWXZW=Y
1 6 W 8 X ; Y : Z 1= 11
=
6=
8=
;=
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1==
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V#52)
V#52)
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6=
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8=
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7/23/2019 BTExel(6)-Ve Duong Cong Thuc Nghiem Bang Hoi Quy
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; ;;Z= ;;:Z7:Y;;6WWY;;
#1 #6 #W #8 (
W Z7Z:6W Y7ZX1 167=6::;==6:Z ZZZ71Z[æ$ %-Q
,) T>æå- h"&t h$-ng t, Leî h@ A- #,>Be>2S 2,$ âA- hA<n â
#,>Be>2
() H,ì# [!ne2t hA >, ,- # L,ì (S L4û% tæång ?æång Lå-! h,
Â4% K,ì #.<t h,ì# #,FngS L4û% +h,F! â,-nh Ct>Kh!tEnte
) G!,- t>J %t'nh tA,-n) $îng t'nh (*ng h,ì# T>en? tæång t
?) T, ?$ìng h,ì# T>en? â" t'nh ,- 2.& K!"û$ t!"&+ theA
V?Q 87X 6Z6X78WW8=YYW:1
X7X X1=17ZYZ;YWZY1Z
;7X :;::786W;;Y8Y:8
Y 111;1786:XY186Z
: 1Y:=:7XY186:XY6
W) Â./ thJ Bh.ng t$%"&n t'nhQ Lå-! âæåìng Ang #$î thæû n8) [æ$ %-Q Ch$-ng t, A- th" ?$ìng AKLe> â" g!,F! 0$%"&t L4
g!,n A- h,ûn h$-ng t, Bh.ng â"/ 4û+ â"&n7
Phæång +h,-+ +h$ì hå<+ t.&! æ$ (e2t at) (*ng +he-+ (3nh +h
$ng 4&+ g!,- t>J nhAF nh4&t hA â,û! Kæå<ng
,- g!,- t>J thæû ngh!"û# L,ì g!,- t>J ?æû (,-A tæång æ-ng
Phæång +h,-+ (e2t at 2eî $ng 4&+ ,- g!,- t>J ,- th,# 2.&
+h$ì hå<+ nh4&t Lå-! ?æî K!"û$ thæû ngh!"û#
= 1 6 W 8 X ; Y
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7/23/2019 BTExel(6)-Ve Duong Cong Thuc Nghiem Bang Hoi Quy
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,-+ h./! 0$% 2,n (*ng (*ng
håìi gian vaì váûn täúc cuía noï
9 Z7Y
n â4/$ W
ngh!"û# t.&! æ$) âæå< t'nh
ng h,ì# T>en?
Z7Y
ng ?4&$ #,>Be> W
â4/$
h,ì# t>en?
nh (!"$ ?!"Dn nA- > â" hA B"&t 0$,F
æåìng $ hæå-ng ?æû âA,-n hA ,- g!,
ng â,î A-S
h tA,-n hA< âæåìng
ïnh dáúu vaìo âáy)
=mx+b
1 2 3 4 5 6 7 8 9
0
10
20
30
40
50
6070
80
90
f(x) = 9.7x + 3
R² = 0.9993627191
7/23/2019 BTExel(6)-Ve Duong Cong Thuc Nghiem Bang Hoi Quy
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âJnhS K,ì #.<t +he-+ âA
n t'nh
ì 'h$ång t(çnh toaïn ho%c biãøu
nh$ âa# noïi åí 'háön t($åïc
h,ì# [INET7 Nhæ L4û% nA-
â,î e-t åF t>"n
h,% Bh.ng gh! g3 ,F)
-
_ tæ- â, thæ- (4û 8)
hå<+ Lå-! 1 â, thæ- (4û 8
6 8 ; : 1= 16
) 9 Z7Y W
Ch,>t T!tKe
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W V Y7 ZX =YX YXY X: E]6 V 1 67= 6:: ;== 6: ZE H Z ZZ 71 :; 18Y 1:; 1
7/23/2019 BTExel(6)-Ve Duong Cong Thuc Nghiem Bang Hoi Quy
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åìng â, thæ- (4û 8 Bh.ng
ì# 2KA+e L,ì !nte>e+t
>
æû nhæ +h4/n t>æå-
h!"û# t, ?$ìng h,ì# [OGET &n â"/ (e2t atS t$% nh!"n thåì!
ång (e- nh4&tS h$-ng t, +h,F!
t>Ang âA- %1 L,ì %b1 K,ì
$F, +hæång t>3nh 2,A hA
7 7 7
K %)
7/23/2019 BTExel(6)-Ve Duong Cong Thuc Nghiem Bang Hoi Quy
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olumn C
inear (Column C)
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