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!"&#1&*"

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"!"&#1

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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&#1"

-11!$2""$*1$!&*$"&*2

1!*#$*&

2$!#*"2$*&"

-21!2*$#&"

2!"""2#*$&

1!"#$"22#

!#1$$2"

6tcritic7s.8

  e se@+iicativ

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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&#1!*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"!"&#1#$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!*"*&#2,-& "!$$*",-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&#1 "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

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