econometrie proiect 959
DESCRIPTION
sdsTRANSCRIPT
7/21/2019 econometrie proiect 959
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Tara Nivelul de salarizare(%)- x2
Belgium 10,100 55,356
Bulgaria 16,661 5,893
Czech Republic 10,555 17,472
Denmark 4,751 61,615
erman! 97,979 50,025"#$%nia 11,575 15,252
&relan' 24,878 49,409
reece 28,155 28,060
(pain 30,715 36,388
)rance 45,495 52,938
Cr%a$ia 65,073 16,659
&$al! 70,840 43,420
C!pru# 25,531 30,204
*a$+ia 5,371 10,678
*i$huania 11,124 10,262*uemb%urg 50,502 59,589
-ungar! 10,116 13,128
.al$a 8,356 23,756
/e$herlan'# 14,911 55,501
u#$ria 20,511 51,455
%lan' 81,625 13,162
%r$ugal 16,921 22,271
R%mania 29,159 7,648
(l%+enia 9,040 26,565
(l%+akia 33,435 15,109)inlan' 7,559 50,337
(e'en 12,304 62,922
ni$e' ing'%m 12,784 46,799
&celan' 3,186 24,753
Nivelul de educatie (%) - x1
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SUMMARY OUTPUT
Regression Statistics
Multiple R !1""#$$##&R S'uare !2#1&&"$
Adusted R S'uare -!"*$$2#
Sta+dard ,rrr 1!"#$"1*"1
O.servati+s 2$
ANO/A
df
Re0ressi+ 2
Residual 2"
Ttal 2
Coecients
+tercept &!*1*&*2
11 1!*"11"#1*#,-"
""*"& -!1#2#**
R,SUA3 OUTPUT
Observation Predicted 62
1 &$!$#$1$#1$*
2 &!#$#*&*
* &!2&"&1
# &*!"**"$&
" &!#21&2*
& &2!#&&*"1
&"!$1&$&$
$ &#!"1$1$$&
&2!&#$"&$&1 &$!1""$$*##
11 &#!##"1&$2&
12 &"!"#$""
1* &!1&2*$*&
1# &$!1*&$#$$"
1" &1!$&#&"#
1& &!"&&&"
1 &&!1&1&&2$#&
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1$ &1!"#22""
1 &2!#2"*&2"
2 &$!#$1&1
21 &&!"211#2
22 &$!$1"$""**
2* &"!22*"$"
2# &!$2""$*2" &2!*&21#*&1
2& &!&"21&**
2 &2!"&*"
2$ &"!2*$#&"
4i51!#"617x1-#!#7x2
tcritic
1
2
*tcalc5!#*
.8-tcritic7s.9:9.
;<:5
;1<:=1
tcalc>tcritic ?respi+0 ; si accept ;1?: est
s.85s 7
1!#"-2!"7!*#9:91!#"62!"7!*#
√11
C
s C5D*!"$ 7D!1"*"&1&5!*##&2&&2
( E ) C-tcritic7s E 9:9 E ) C( 6tcritic7 Es
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62
76
55
58
6392
53
79
43
55
83 Mea+
66 Sta+dard ,rrr
26 Media+
74 Mde
86 Sta+dard eviati+43 Sa@ple /aria+ce
50 Furtsis
59 SGeH+ess
78 Ra+0e
60 Mi+i@u@
86 Maxi@u@
45 Su@
70 Iu+t
78
5681
78
91
44
Re0ula celr * si0@a
x1
x2
J
+dicele Iruptiei (%) - J
x1KL -#""#!"$1&
x2KL-2*1*!&1*2$&$!
JKL1#!$&#$111"!"
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SS MS F
1!#&2*&$$ "!**#& !*&"&2$
&$!&*&22&" *!"$
$$!1#2$"1#*
Standard Error t Stat P-value
!*"*$$2"# !#*"$ !1
!1*&1$$ !12#" !$&**#
!1$122&2 -!$" !#**$2$2"
Residuals
!1"1$1"$1
-12!#$#*&*
-2!2&"&1
-!"**"$&
2#!"2$2*
-!#&&*"1
1*!1$*21*2
-21!"1$1$$&
-!&#$"&$&1#!$##11&"2&
1!""#$*1*1
-*!"#$""
&!2$*&1&#
1!$&*1"11"
-1$!$&#&"#
-1!"&&&"
-!1&1&&2$#&
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1&!2#"#"
-2!#2"*&2"
1!"1$*2
-21!"211#2
1!1$#1##&&1
12!22"
-11!$2""$*1$!&*$"&*2
1!*#$*&
2$!#*"2$*&"
-21!2*$#&"
2!"""2#*$&
1!"#$"22#
!#1$$2"
6tcritic7s.8
e se@+iicativ
7/21/2019 econometrie proiect 959
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Nivelul de educatie (! - "# Nivelul de salari$are(!- "2
2&"2#!""12#1* *2$!1*##$2"
#"$"!#&"#1*2"1 *"!&$&2$*1&"
1&&&1 2$&
,rr<"12 ,rr<"12
2#&*!1&*2#$* 1$!2*"&2&"2!*2"$& *"21*&!*$1*
1!$#2#**" -1!""1#1*$"
1!"*12#& !1""""2&
#* "2
*1$& "$*
&222
&212 "&&2&
2 2
Nivelul de educatie (! - "# Nivelul de salari$are(!- "2
1
!*""1*1* 1
-#""#!"$#11 1&#!&1"22*$*
-2*1*!&1*2*#"2 $&$!$2&1&$&
1#!$&#$1# 11"!"#$22
#!&1"
$2&2
"
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Signi%cance F
!*&###"11*
&o'er ) *++er )
"#!2"*#**& $#!"##&1$2#
-!2&*1*"1 !2$*#
-!"1"&#"$ !2*$*1
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,ndicele Coru+tiei (! -
&"!12#1**1
*!1111*
&*
$
1&!2""222$2!1#$*2"12
-!"""1$"#
-!2&*#$##
&&
2&
2
1$
2
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.)de+irea @delului de re0resie
x1 pri@a varia.ila i+depe+de+ta este +ivelul de educatie
x2 pri@a varia.ila i+depe+de+ta este +ivelul de salarizare
J pri@a varia.ila i+depe+de+ta este i+dicele de cruptie
i+ cele 2 crel0ra@e pute@ esti@a u+ @del li+iar! Ji5:6:
2Q
1
2
*
#
"
&
$
1
(x) 5R 5 !
1Q
1
2*
#
"
&
$
1
(x)R
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Ji5.
4i5.8
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17x16:27x26i
#Q &Q $Q 1Q 12Q
!*#&1$""*,-&x 6 &#!*2&1$* 1&"12
Corelograma dintre x1 si y
Irel0ra@a di+tre x1 si J
3i+ear (Irel0ra@a di+tre x1 siJ)
2Q *Q #Q "Q &Q Q
5 - !1##"$x 6 &!211$#1"" !2#$*121&
Corelograma dintre x2 si y
Irel0ra@a di+tre x2 si J
3i+ear (Irel0ra@a di+tre x2si J)
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.17x16.27x26ei
6.817x16.827x2
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c)esti@area para@etrilr @delului
1 10,100 55,356
1 16,661 5,893
1 10,555 17,472
1 4,751 61,615
1 97,979 50,0251 11,575 15,252
1 24,878 49,409
1 28,155 28,060
1 30,715 36,388
1 45,495 52,938
1 65,073 16,659
1 70,840 43,420
1 25,531 30,204
1 5,371 10,678
1 11,124 10,2621 50,502 59,589
1 10,116 13,128
1 8,356 23,756
1 14,911 55,501
1 20,511 51,455
1 81,625 13,162
1 16,921 22,271
1 29,159 7,648
1 9,040 26,565
1 33,435 15,109
1 7,559 50,337
1 12,304 62,922
1 12,784 46,799
1 3,186 24,753
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1 1 1 1 1 1
10,100 16,661 10,555 4,751 97,979 11,575
55,356 5,893 17,472 61,615 50,025 15,252
2 &212 "&&2&&212 *#&#*$ 2&**"22*
"&&2& 2&**"22* #1""$#"*$#2
!1"*"&1"& -1!*"*&,-& -*!1&"$#,-&
-1!*"*,-& "!$$*",-11 -"!&"&,-12
-*!1&"$#1#,-& -"!&"&,-12 1!"22",-1
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1 1 1 1 1 1
24,878 28,155 30,715 45,495 65,073 70,840
49,409 28,060 36,388 52,938 16,659 43,420
&212*#&#*$
2&**"22* 4i51!#"617x1-#!#7x2
1!#""12,-11
1 tcritic 2!"1$*"1&"
-#!##$,-1&
1
2
* tcalc5!#*
.8-tcritic7s.9:9.86tcritic7
;<:5
;1<:=1
tcalc>tcritic ?respi+0 ; si accept ;1?: e
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1 1 1 1 1 1 1 1
25,531 5,371 11,124 50,502 10,116 8,356 14,911 20,511
30,204 10,678 10,262 59,589 13,128 23,756 55,501 51,455
s.8
ste se@+iicativ
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1 1 1 1 1 1 1 1
81,625 16,921 29,159 9,040 33,435 7,559 12,304 12,784
13,162 22,271 7,648 26,565 15,109 50,337 62,922 46,799
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1
3,186
24,753
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d)testarea se@+i crelatiei Testul
1!pteze
!"1*"
d2)testarea para@etrilr
tcalc !12#"
tcritic 2!"""2
:1 1
2 Tcalc
* t critic 2!"""2
: 1
2 Tcalc5
* Tcritic 2!"""2
;<tti cecie+tiide re0resie su+t ?Rpat
;1<cel puti+ u+ cecie+t de re0resie =?
calc tcritic55>accept ;55>:(ter@e+ li.er)
;<:15
;1<:1=
T calcTcritic 55> accept ; 55> :1 este +ese@+iicativ
;<:25
;<:2=
TcalcTcritic55>accept ; si respi+0 ;1 55>:2 este +ese@+ii
calc5 / 5!*&"
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rat este +ese@+icativ
patrat este se@+icativ si @delul este valid
ativ
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e)@scedasticitate
A
3,186 44
4,751 58
5,371 747,559 81
8,356 59
9,040 78
10,100 62
10,116 50
10,555 55
11,124 86
11,575 92
12,304 78
12,784 9114,911 78
16,661 76
16,921 45
20,511 60
24,878 53
25,531 26
28,155 79
29,159 70
30,715 43
33,435 5645,495 55
50,502 43
65,073 83
70,840 66
81,625 86
97,979 63
V)
Coecients
a &!*1*&*2
. 1!*"11"#1*#,-"
c -!1#2#**
Nivelul de educatie (%) - x1 +dicele Iruptiei (%) - J
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3,186 44
4,751 58
5,371 747,559 81
8,356 59
9,040 78
10,100 62
10,116 50
10,555 55
11,124 86
Nivelul de educatie (%) - x1 +dicele Iruptiei (%) - J
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* Testul
a!pteze ;<MS,15MS,255>MO,3
.! calc 5MS,2WMS,1 1!$1&#
c!critic "!*1&""1&
Nivelul de salarizare(%)- x210,100 55,356
16,661 5,893
10,555 17,472
4,751 61,615
97,979 50,025
11,575 15,252
24,878 49,409
28,155 28,060
30,715 36,388
45,495 52,938
65,073 16,659
70,840 43,420
25,531 30,204
5,371 10,678
11,124 10,262
50,502 59,589
10,116 13,128
8,356 23,756
14,911 55,501
20,511 51,455
81,625 13,162
16,921 22,271
29,159 7,648
9,040 26,565
33,435 15,109
7,559 50,337
12,304 62,922
12,784 46,799
;1<MS,1=MS,255>MO,3
Nivelul de educatie (%) - x1
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3,186 24,753
Media 2&Q"2" *2Q$
*Q#&QQ#*$-27*Q""1Q
.85"Q2$"Q-#QQ&2"X1Q*Q*Q&2
.85!1&""
a85-.87xZ.85[(x7J)-+7xZ7X[(x82)-+7(xZ82)
.85"Q2$"Q-272&Q"2"7&"X
a85&#!""""#*1"
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SUMMARY OUTPUT
Regression Statistics
Multiple R !12$&
R S'uare !*2
Adusted R S'ua-!1#2#*2
Sta+dard ,rrr 1*!$1#$
O.servati+s
ANO/A
df
Re0ressi+ 1Residual
Ttal $
Coecient
+tercept &!*&#
*1$& -!1
R,SUA3 OUTPUT
Observation redicted 0
1 &!#1&&
2 &!*#$2
* &!1$*
# &!21"
" &&!#&&#
& &&!$*&2
&&!$2$$
$ &&!$$* &&!1$""
SUMMARY OUTPUT
Regression Statistics
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Multiple R !#"#2
R S'uare !2#"#2
Adusted R S'ua !1*&
Sta+dard ,rrr 1#!*$$
O.servati+s
ANO/Adf
Re0ressi+ 1
Residual
Ttal $
Coecient
+tercept #"!1&*2
2$1"" !*1#
R,SUA3 OUTPUT
Observation redicted 1
1 "#!*22
2 "#!$1"
* ""!&&#"
# "!#"2
" &1!222
& &"!"&2 &!#$2*
$ !#2
"!2$
&$ 28,155
& 29,159
& 30,715& 33,435
& 45,495
& 50,502
& 65,073
& 70,840
& 81,625
& 97,979
J8
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OMOSI,ASTI
?Mdel ;@scedastic
x17x262 12Q1Q ""Q"Q& *Q&#Q2$&Q*& -1&Q#2"
76 2Q"$$Q21 $Q1$*Q2* *#Q2Q## -Q$&#
55 111Q#$Q2" 1$#Q#1&Q& *"Q2Q$# -1"Q
58 22Q"2Q1 22Q*2Q$&" *Q&Q#$Q22" -21Q#
63 Q"Q$$#Q##1 #Q1Q*Q#" 2Q"2Q"Q&2" 1Q#"#
92 1**Q$Q&2" 1&Q"#1Q 2*2Q&2*Q"# -1#Q"
53 &1$Q1#Q$$# 1Q22Q1Q12 2Q##1Q2#Q2$1 -1Q&#
79 2Q#Q2" Q2Q* $Q*&*Q& 1Q&*
43 #*Q#11Q22" 1Q11Q&"Q#2 1Q*2#Q$&Q"## #Q1
55 2Q&Q"Q2" 2Q#$Q#1#Q*1 2Q$2Q#*1Q$## 1$Q
83 #Q2*#Q#"Q*2 1Q$#Q"1Q1 2Q"22Q2$1 *$Q"#$
66 "Q1$Q*"Q& *Q"Q$2Q$ 1Q$$"Q2&Q# ##Q*1"
26 &"1Q$*1Q&1 1Q1*$Q*2# 12Q2$1Q&1& -#
74 2$Q$#Q "Q*"1Q"*$ 11#Q1Q&$# -21Q1"#
86 12*Q#*Q*& 11#Q1"#Q#$$ 1"Q*$Q&## -1"Q#1
43 2Q""Q#"2Q# *QQ*&*Q&$ *Q""Q$#$Q21 2*Q
50 12Q***Q#"& 1*2Q$2Q$#$ 12Q*##Q*$# -1&Q#
59 &Q$22Q*& 1$Q""Q1*& "&#Q*#Q"*& -1$Q1&
78 222Q**Q21 $2Q""Q#11 *Q$Q*&1Q1 -11Q&1#
60 #2Q1Q121 1Q""Q**Q"" 2Q&#Q&1Q2" -&Q1#
86 &Q&&2Q&#Q&2" 1Q#Q*#$Q2" 1*Q2*$Q2## ""Q1
45 2$&Q*2Q2#1 *&Q$#Q"1 #"QQ##1 -Q&#
70 $"Q2#Q2$1 22*Q$Q*2 "$Q#1Q# 2Q&*#
78 $1Q21Q& 2#Q1#Q& "Q&Q22" -1Q#$"
56 1Q11Q$Q22" ""Q1&Q#1" 22$Q2$1Q$$1 &Q1
81 "Q1*$Q#$1 *$Q#Q*$* 2Q"**Q$1*Q"& -1$Q&&
78 1"1Q*$$Q#1& #Q12Q2$$ *Q"Q1$Q$# -1#Q221
91 1&*Q#*Q&"& "$Q2$Q#1& 2Q1Q1#&Q#1 -1*Q#1
,T,ROSI,ASTI
+dicele Iruptiei (%) - J x182 x282 (x1-xZ)
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44 1Q1"Q"& $Q$&*Q"$ &12Q11Q -2*Q**
&" *Q#&QQ#*$
## ∑
∑
=
=
−−=
30
1
2
30
2
2
1)(
t
t
t
t t
e
ee
DW
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SS MS F gni%cance F
!##* !##* !2&" !&2*1*2!""* 1$!2*2
1**
Standard Error t Stat P-value o'er )*++er )o'er )./ ++er )./
1$!*$### *!"*&2 !$$21 2*!221 112!&## 2*!221 112!&##
!21##"12* -!"1*"$ !&2* -!"1$ !#&2 -!"1$ !#&2
Residuals
-!#1&"&*#"
&!&"1$*$
1*!$12"&
-$!21"2**
11!"**&1##
-#!$*&2#$22
-1&!$2$$*&
-11!$$2&#$*1!2$1##$$$
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SS MS F gni%cance F
#&&!*2&*11 #&&!*2&*11 2!2"* !1#$
1#**!222##" 2#!#*"
1$!""""""&
Standard Error t Stat P-value o'er )*++er )o'er )./ ++er )./
12!&&1&& *!"$2" !$#1 1"!*"$## #!&2 1"!*"$## #!&2
!2$*" 1!"1&* !1#$ -!1$ !$& -!1$ !$&
Residuals
1"!&2&"2
-11!$1"#$#&
!**"#*#""2
-#!#"2###
-1$!2212&
1!#2*"1-1!#$2*1##$
1"!2"1221
-12!2$$""*2
79 "#!11$
70 "#!*22*$#
43 "#!$1$$56 ""!&&#$#
55 "!#"12*##
43 &1!2*2*1
83 &"!"*$
66 &!#$"#"
86 !#&12
63 "!2"
J8
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x17J ei ei-ei-12&Q&"Q$ &2&Q2 &#!2#$ -* !#2###
Q2$Q&"* 1Q2&&Q2*& &#!$*#2 11 12#!&&*" 1#
2""Q2&Q"$2 "$Q"2" &#!*2#1 -1 #!1& -21
##Q$Q""" 2"Q""$ &#!&*"1& - ##!2"* *
"Q1"Q*$Q1$ &Q12Q& &&!12$ -* 1!222" *
22*Q#$Q 1Q&#Q &#!#" 2 #2!"$$ *
2Q11Q1** 1Q*1$Q"*# &#!2# -12 1#*!**$# -*
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