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PCT18 - alumni.media.mit.edualumni.media.mit.edu/~tpminka/courses/36-315/handout/handout25.pdf · Q...

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Page 1: PCT18 - alumni.media.mit.edualumni.media.mit.edu/~tpminka/courses/36-315/handout/handout25.pdf · Q g*luh.cuX\bvTjXq tgRkb[bvcudaRkhV}nh RUY3le []t]tg.leT¾R bvcug*mvXZh.Tudtc~cjRUY[

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{~}[gS�5cul�T/X\l�s�V�C�i�z���:�L���k�i�vRklu��XZYv]���}[RUT�m[g*W�dt]tcuRkb[}[X\h*l��MdtW�g*Yn}5R��tg�XZYnw �F  {~}[glug.h*dtY[mnXZl�k�Z�C�i�z��¡_��¢£:¤ �L���k��dtc�k� ¤C¥k£§¦ �i�¨�©�i�5Rklu��X\Y[]_��}5RUT��URkcuXZRk^[oZg.l�m[X\leTjX\Y[]t�[X\lu}��MdtW�g*Y�ª«cudtW¬W�g*Y  Q�g*luh.cuX\bvTjXq�tg�Rkb[bvcudaRkhV}�y­Q�X\�sX\m[gSm5RUTjR�^a`�ceg*leb�dtYvlugk�:lu}vd®�¯Wxg*RkY�XZY�g�RUhV}°]tcedt�[b  Q�g*luh.cuX\bvTjXq�tg±Rkb[b[cedaRkhV}h�RkYFludtW�g.TuXZW�g*l��Mdtcu�S^:g.TeTjg.c²Tu}5RkYb[cug.m[XZhiTjX\dtY�h*�[c��tg*l³y|g   ]  �´vµt¶§·C¸±¹�ºt» � ´Aµt¶A¼A½[ Q�g*luh.cuX\bvTjXq�tg�Rkb[bvcudaRkhV}nh�RUY3le�[]t]tg.leT¾R�bvcug*mvXZh.Tudtc~cjRUY[��XZY[][�5dUTj}[g.c�Tj}5RkYn�[leXZY[]�h*dkY�Tudt�[c�b[o\dkTjl  w�cedJfeg*hiTjX\dtY�h�RkYnlu}[dC���URkceX¿RUTuXZdtYvl���X\Tu}ng*RkhV}ncug*leb�dkY[lug]tcudk�[b��?Rko\oZdC��XZY[]Fª«�[ceTu}[g*c�lu�v^�m[Xq�sXZluX\dtY  {~}[g�m[X¿Rk]kY[dtleTuXZh�Rkbvb[cudaRUhV}3X\l~W��[hV}nluXZW�b[o\X\�5g.m�X\ª7`tdt�ncjRUY[��b[ceg*m[X\h.Tjdkcul  

À

Page 2: PCT18 - alumni.media.mit.edualumni.media.mit.edu/~tpminka/courses/36-315/handout/handout25.pdf · Q g*luh.cuX\bvTjXq tgRkb[bvcudaRkhV}nh RUY3le []t]tg.leT¾R bvcug*mvXZh.Tudtc~cjRUY[

PCT18.24

I(−1/(PCTBLACK + 1))

−log(MEDHHINC)

−log(PCTCOLL4 + 1)

sqrt(PCTFEMHE)

PCTFEMAL

log(POPPSQMI)

PCT65.74 low

med.low

med.high

high

PC

TF

EM

AL

Á

Page 3: PCT18 - alumni.media.mit.edualumni.media.mit.edu/~tpminka/courses/36-315/handout/handout25.pdf · Q g*luh.cuX\bvTjXq tgRkb[bvcudaRkhV}nh RUY3le []t]tg.leT¾R bvcug*mvXZh.Tudtc~cjRUY[

−PCT18.24

PCT55.59

PCTOWNER

PCTHSCH2

−sqrt(PCTELEM)

MEDRENT

−sqrt(PCTSERV)

log(MEDFAMIN)

−log(PCTUNEMP + 1)

PCTMCFAM

log(MEDHHINC)

log(PHI75.99 + 1)

PCT25.34

−sqrt(PCTFEMHE)

−sqrt(PCTNFHHS)

PCT45.54

log(MEDHVAL)

−PCTFEMAL

AVGHHSZ

PCT5.9

PCT35.44

PCT0.4

−sqrt(PCT75.84)

PCT14.17

PCT10.13

−log(POPPSQMI)

−MEDAGE

−PCT65.74

−PCTTECHS

−I(−1/(PCTHISP + 1))

−PCT60.64

low med.low med.high high

PCTFEMAL

Â

Page 4: PCT18 - alumni.media.mit.edualumni.media.mit.edu/~tpminka/courses/36-315/handout/handout25.pdf · Q g*luh.cuX\bvTjXq tgRkb[bvcudaRkhV}nh RUY3le []t]tg.leT¾R bvcug*mvXZh.Tudtc~cjRUY[

−PCT18.24

PCT55.59

PCT45.54

PCT25.34

PCT5.9

PCT35.44

PCT14.17

−sqrt(PCT75.84)

PCT10.13

PCT0.4

−MEDAGE

−PCT65.74

−PCT60.64 low

med.low

med.high

high

PC

TF

EM

AL

Ã

Page 5: PCT18 - alumni.media.mit.edualumni.media.mit.edu/~tpminka/courses/36-315/handout/handout25.pdf · Q g*luh.cuX\bvTjXq tgRkb[bvcudaRkhV}nh RUY3le []t]tg.leT¾R bvcug*mvXZh.Tudtc~cjRUY[

−I(−1/(PCTBLACK + 1))

I(−1/(PCTASIAN + 1))

−I(−1/(PCTAMIND + 1)^3)

I(−1/(PCTHISP + 1)) low

med.low

med.high

high

PC

TF

EM

AL

Ä

Page 6: PCT18 - alumni.media.mit.edualumni.media.mit.edu/~tpminka/courses/36-315/handout/handout25.pdf · Q g*luh.cuX\bvTjXq tgRkb[bvcudaRkhV}nh RUY3le []t]tg.leT¾R bvcug*mvXZh.Tudtc~cjRUY[

−PCTMCFAM

sqrt(PCTFEMHC)

sqrt(PCTFEMHE)

−PCTMCWCH

sqrt(PCTNFHHS) low

med.low

med.high

high

PC

TF

EM

AL

Å

Page 7: PCT18 - alumni.media.mit.edualumni.media.mit.edu/~tpminka/courses/36-315/handout/handout25.pdf · Q g*luh.cuX\bvTjXq tgRkb[bvcudaRkhV}nh RUY3le []t]tg.leT¾R bvcug*mvXZh.Tudtc~cjRUY[

2 4 6 8

3040

5060

PC

TF

EM

AL

sqrt(PCT18.24)

Æ

Page 8: PCT18 - alumni.media.mit.edualumni.media.mit.edu/~tpminka/courses/36-315/handout/handout25.pdf · Q g*luh.cuX\bvTjXq tgRkb[bvcudaRkhV}nh RUY3le []t]tg.leT¾R bvcug*mvXZh.Tudtc~cjRUY[

−10 −5 0 5 10

−5

05

10

h1

h2

56 70 56 57 59PCTFEMAL

PCT60.64PCT65.74

MEDAGE

PCTHSCH2

sqrt(PCTCOLL3)log(PCTCOLL4 + 1)

PCTMGPR

PCTUNIT1

log(PCTUNIT5 + 1)

PCTOWNER

PCT60.64PCT65.74

MEDAGE

PCTMCFAM

sqrt(PCTFEMHE)sqrt(PCTFEMHC)

log(MEDFAMIN)

PCTHSCH2

sqrt(PCTCOLL3)log(PCTCOLL4 + 1)

PCTMGPR

PCTUNIT1

log(PCTUNIT5 + 1)

PCTOWNER

log(MEDHVAL)

Ç È É\ÊË Ì ÍÏÎÐ Ñ Ò ÌÓ Ì ÔÕ ÒÏÖ Õ Ë Î× Ê Ì Ó × Î ÖË ÌØ Ê ÙÕ ÒÏÖ Õ Ú ÛÜÝ Þß àá â

ã

Page 9: PCT18 - alumni.media.mit.edualumni.media.mit.edu/~tpminka/courses/36-315/handout/handout25.pdf · Q g*luh.cuX\bvTjXq tgRkb[bvcudaRkhV}nh RUY3le []t]tg.leT¾R bvcug*mvXZh.Tudtc~cjRUY[

−10 −5 0 5 10

−10

−5

05

10

h1

h21 2 3 4

PCTFEMAL

PCT60.64PCT65.74MEDAGE

PCTMCFAM

sqrt(PCTFEMHE)sqrt(PCTFEMHC)

log(MEDFAMIN)

PCTHSCH2

sqrt(PCTCOLL3)log(PCTCOLL4 + 1)PCTMGPR

PCTUNIT1

log(PCTUNIT5 + 1)

PCTOWNER

log(MEDHVAL)

−P

CT

18.2

4

−lo

g(P

CT

CO

LL4

+ 1

)

−lo

g(M

ED

HH

INC

)

sqrt

(PC

TF

EM

HE

)

log(

PO

PP

SQ

MI)

I(−

1/(P

CT

BLA

CK

+ 1

))

−P

CT

65.7

4

PC

TF

EM

AL

1

234

Ç�äË ä å åÎ åCæÐ Ì ÌË ç Ò�Ó ä ÑÎ × Ì ÔÕ Ò Ö Õ Ë Î× Ê Ì Ó × Î ÖË ÌØ Ê

è

Page 10: PCT18 - alumni.media.mit.edualumni.media.mit.edu/~tpminka/courses/36-315/handout/handout25.pdf · Q g*luh.cuX\bvTjXq tgRkb[bvcudaRkhV}nh RUY3le []t]tg.leT¾R bvcug*mvXZh.Tudtc~cjRUY[

2 4 6 8 10

9.5

10.0

10.5

11.0

11.5

12.0

12.5

13.0

log(POPPSQMI)

log(

ME

DH

VA

L) 20 70 50 51 51 52 53 54 55

PCTFEMAL

ÀCé

Page 11: PCT18 - alumni.media.mit.edualumni.media.mit.edu/~tpminka/courses/36-315/handout/handout25.pdf · Q g*luh.cuX\bvTjXq tgRkb[bvcudaRkhV}nh RUY3le []t]tg.leT¾R bvcug*mvXZh.Tudtc~cjRUY[

2 4 6 8 10

200

400

600

800

1000

log(POPPSQMI)

ME

DR

EN

T 20 70 50 51 51 52 53 54 55

PCTFEMAL

ÀtÀ

Page 12: PCT18 - alumni.media.mit.edualumni.media.mit.edu/~tpminka/courses/36-315/handout/handout25.pdf · Q g*luh.cuX\bvTjXq tgRkb[bvcudaRkhV}nh RUY3le []t]tg.leT¾R bvcug*mvXZh.Tudtc~cjRUY[

sqrt.PCTFEMHE.

log.POPPSQMI.

I..1..PCTBLACK...1..

ê/RkYv�sX\Y[]�b[cug.m[XZhiTjdtcel~dkª ´Aµt¶sëaì�íAî�ï

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