From fff95ba847dd079c2078463ccc70b8a74c7193b6 Mon Sep 17 00:00:00 2001
From: tracedence <shoaibrashid887@gmail.com>
Date: Sat, 6 Oct 2018 13:06:36 +0000
Subject: [PATCH 1/6] Done

---
 __pycache__/__init__.cpython-36.pyc           | Bin 168 -> 157 bytes
 .../__pycache__/__init__.cpython-36.pyc       | Bin 193 -> 182 bytes
 .../__pycache__/build.cpython-36.pyc          | Bin 630 -> 541 bytes
 q01_calculate_statistics/build.py             |  11 ++++++++++-
 .../tests/__pycache__/__init__.cpython-36.pyc | Bin 199 -> 188 bytes
 .../__pycache__/test_q01_plot.cpython-36.pyc  | Bin 2949 -> 2938 bytes
 6 files changed, 10 insertions(+), 1 deletion(-)

diff --git a/__pycache__/__init__.cpython-36.pyc b/__pycache__/__init__.cpython-36.pyc
index cd8686b0f9f17c173480b2b430af88fa1427ca13..c0d6078b0e73121c4b74506880d2c3ab95788789 100644
GIT binary patch
delta 52
zcmZ3%IG2&bn3tDJX!DNfi5%t%UiumNxvBakMTyC&DXDqMsruphMcKs#K(2mreoE@Z
GEIR<KUlFeW

delta 63
zcmbQsxPp<xn3tDp*}dkdi5%wIq52v5xvBbzNg0{?F8Rr&xv6<2#ro+*sg;Q(`MLUu
SIXMaiMfq8&$tA@T<Lv;Wj~0sn

diff --git a/q01_calculate_statistics/__pycache__/__init__.cpython-36.pyc b/q01_calculate_statistics/__pycache__/__init__.cpython-36.pyc
index 7f99883c1d9debd8b77bd7ef3726fb2472273668..8717e9767955e0f8432d94d438117ea112d7107d 100644
GIT binary patch
delta 52
zcmX@exQ&s+n3tDJX!DNfi5%t%$@&@jxvBakMTyC&DXDqMsruphMcKs#K(2mreoE@Z
GtZ)Fi*%A`~

delta 63
zcmdnSc#x69n3tDp*}dkdi5%wIdHNaoxvBbzNg0{?F8Rr&xv6<2#ro+*sg;Q(`MLUu
SIXMaiMfq8&$tA@T<HG^8LKg1;

diff --git a/q01_calculate_statistics/__pycache__/build.cpython-36.pyc b/q01_calculate_statistics/__pycache__/build.cpython-36.pyc
index 58a2a31fb42e0e24a3953e95448b0ffc0fa71daf..5729255cd4af1663152ef1421cfc12ed455b5557 100644
GIT binary patch
delta 299
zcmeyyGM7c!n3tDJcJq$tV~h+8j~S2vGmz~7#Km?KmCe~wIhq+5874+~aDl{~LE>5y
z*GR}SWwA6fq%cY{)H2mD)G*dCr7;IHXfpW~0gYqOWS#g=-i{?VKP6R@xd^1Oh!sSz
z0g06iMeIQ8SAu><er~FMNl{{QYD#Kea;koKeo=OD0g$Vo4AeMz0b_VQ4^U+>2asT3
z<N`t-#v)E2Ta)t^YhGz?L1hsWkQc>PkeHW}SbU4AASH^UC^a!9KDoH;7E4NEN#ZT$
toc!b>7N9DyMzGCD1jyuD95z6Amgc0|f!tZl1td5aIheQ@g;+TlSpiMYKhyvK

delta 365
zcmbQs@{L8=n3tE!|HYiB?~Du#j~S2vGmz~7#Kjg9mCYw6c*L*(InE#f10Yetki}TS
z)XZ25VljhRj3q2ttXXVeHd75l4Py;c7JCY#Btsf=FoPyjm56IzNotWoWqxUqLUMje
zszOF;QECy;S_Vyyi7(~rnF>;(*n(4wGE<9hvE%|3++r(B%qdMR)?|+2FHX!!jV~z5
zOiqo@O-;;;5=0S5$pi|ar~ztU$xy@zH2hb#enx(7s(xZpMy9??esXDUYF<gPetJ=A
zWnxKwu6|-pjzU3Eeiln=a!K)IH^y*bUXUj_fCK|G7b6!V4^t8M<PD6HtVL`<p~+_%
mrH#3P46xxy1Q$^37KaVc;iWmLc1%DX*bELv4kj)}A$9=g`duUd

diff --git a/q01_calculate_statistics/build.py b/q01_calculate_statistics/build.py
index a556241..ace7858 100644
--- a/q01_calculate_statistics/build.py
+++ b/q01_calculate_statistics/build.py
@@ -1,11 +1,20 @@
+# %load q01_calculate_statistics/build.py
 # Default Imports
 import numpy as np
 import pandas as pd
 
 data = pd.read_csv('data/house_prices_multivariate.csv')
-sale_price = data.loc[:, "SalePrice"]
+sale_price = data.loc[:, 'SalePrice']
 
 
 # Return mean,median & mode for the SalePrice Column
 # Write your code here
+def calculate_statistics():
+    mean = np.mean(sale_price) 
+    median = np.median(sale_price)
+    mode = sale_price.mode()[0]
+    
+    return mean, median, mode
+calculate_statistics()
+
 
diff --git a/q01_calculate_statistics/tests/__pycache__/__init__.cpython-36.pyc b/q01_calculate_statistics/tests/__pycache__/__init__.cpython-36.pyc
index b1b01d55acae938b089c65022c1e5efe684e3182..92148198266e91fb317783a3471df225dabca317 100644
GIT binary patch
delta 52
zcmX@kxQCI$n3tDJe)Ep#i5%t%nfe*|xvBakMTyC&DXDqMsruphMcKs#K(2mreoE@Z
GtXKfQL=rdv

delta 63
zcmdnPc$|^Ln3tF9Mq+E!L=JQ968(()+*JL<q>M~`m;B_?+|<01V*T`@)XKz?{9OIS
SoE(LMqWrAX<dWiv@v#7@R~Ehi

diff --git a/q01_calculate_statistics/tests/__pycache__/test_q01_plot.cpython-36.pyc b/q01_calculate_statistics/tests/__pycache__/test_q01_plot.cpython-36.pyc
index b15e8f5a2811026190ae68242820f0f54cca9426..10505ca4221a6851eb44a2d8631ee7ece46f3ca0 100644
GIT binary patch
delta 55
zcmZn_|0Tv@%*)Fqzj;UWMvkM53VHe&`MIh3B}IwJsVS*>$*KC``9;~q1wgKTa(+tc
J<{yl`oB$6l6a4@H

delta 66
zcmew*)+)|n%*)GlBe6AVBgauj?MnTO{M=Oi#H5T&eV6>?(%jU%l4AYzqSVU7lKfo#
V#GD+3f};Ga)Z~)l&2JfdIROmk7=r)+


From f396cdcc67671b9e5d3036befa199b23d13b1f2a Mon Sep 17 00:00:00 2001
From: tracedence <shoaibrashid887@gmail.com>
Date: Sat, 6 Oct 2018 13:09:24 +0000
Subject: [PATCH 2/6] Done

---
 .../__pycache__/build.cpython-36.pyc            | Bin 541 -> 547 bytes
 q01_calculate_statistics/build.py               |   6 +++---
 2 files changed, 3 insertions(+), 3 deletions(-)

diff --git a/q01_calculate_statistics/__pycache__/build.cpython-36.pyc b/q01_calculate_statistics/__pycache__/build.cpython-36.pyc
index 5729255cd4af1663152ef1421cfc12ed455b5557..468b65036cef96586d66f129c2051102de4ab655 100644
GIT binary patch
delta 215
zcmbQsvY18Ln3tF9?dBcPHy9Zh9y1^TW+2-Eh>P7OD%-N8vS)Elj0u%c1B#R|WHB}~
z)PiUxAk7G*nJ1o=7G}A{Rh*cU8edS9nVfoyB{wxOZ{mM3UKXI1B32-=lA(xgvJzvP
z1P3DrBM(y%2T)9t>lSNXX>LK~EvCGJ$p;yg9GO7MK~hB^7ZkCf66`?kEe@O9{FKt1
XR6CH0Vjds?G?9smQHYg;jg1iiD(x$$

delta 212
zcmZ3?GM7c!n3tDJcJq$tV~h+8j~S2vGmz~7#Km?Km2D?x1j=XuIVB8Pj3rFXjI|&Z
zGnfVBXR%DYC@s!<iz%<*7E5kwV%{yT;>4WP_=2L$<kX4(#dukPT8r3##7c%D_Q^_&
zZIWD!T#P)7MVvq}P0m}ad8N4pl|@WI-sA&}N>(f&^&q(-c2t4`$i2m3lbfGXnv-e=
Ua$+$Tkl<kCVB%sFV&z~308Y#*-~a#s

diff --git a/q01_calculate_statistics/build.py b/q01_calculate_statistics/build.py
index ace7858..7af4882 100644
--- a/q01_calculate_statistics/build.py
+++ b/q01_calculate_statistics/build.py
@@ -10,11 +10,11 @@
 # Return mean,median & mode for the SalePrice Column
 # Write your code here
 def calculate_statistics():
-    mean = np.mean(sale_price) 
-    median = np.median(sale_price)
+    mean = sale_price.mean()
+    median = sale_price.median()
     mode = sale_price.mode()[0]
     
     return mean, median, mode
 calculate_statistics()
-
+sale_price.mean()
 

From 3c45ec2c70aa8ad30dcf3536e2018fb086146589 Mon Sep 17 00:00:00 2001
From: tracedence <shoaibrashid887@gmail.com>
Date: Sat, 6 Oct 2018 13:32:32 +0000
Subject: [PATCH 3/6] Done

---
 q02_plot/__pycache__/__init__.cpython-36.pyc    | Bin 177 -> 166 bytes
 q02_plot/__pycache__/build.cpython-36.pyc       | Bin 775 -> 759 bytes
 q02_plot/build.py                               |  10 ++++++++++
 .../tests/__pycache__/__init__.cpython-36.pyc   | Bin 183 -> 172 bytes
 .../__pycache__/test_q02_plot.cpython-36.pyc    | Bin 969 -> 958 bytes
 5 files changed, 10 insertions(+)

diff --git a/q02_plot/__pycache__/__init__.cpython-36.pyc b/q02_plot/__pycache__/__init__.cpython-36.pyc
index 215eac083bf88e6537e6d7d6a5471a2c374ca81c..2db9569eb32315d2e3821330c73521a914074ec1 100644
GIT binary patch
delta 52
zcmdnUxQvm*n3tDJX!DNfi5%t%!TK5bxvBakMTyC&DXDqMsruphMcKs#K(2mreoE@Z
GEO!90IT6zU

delta 63
zcmZ3+xRH^=n3tDp*}dkdi5%wIarzngxvBbzNg0{?F8Rr&xv6<2#ro+*sg;Q(`MLUu
SIXMaiMfq8&$tA@T<J|$Nk`}K3

diff --git a/q02_plot/__pycache__/build.cpython-36.pyc b/q02_plot/__pycache__/build.cpython-36.pyc
index bed076d1cc99b8e94b503c07bb460492f8d4c6bc..23a7b58ce1b832f54cd1c5cd3bb00d03b0b9604a 100644
GIT binary patch
delta 485
zcmY*WJxc>Y5Z&3^yIjsBf`wosq9CLSXrY3LU}2|%qOhW2bF(oyb9Z6)RIDtb*k}>*
zEBpugSFW|Pv=XeGi{Qr&^O$)v^JZZ0y$^R`xmpcQU!IRoIAgEu&vPi=B)5mdh50oR
zmCzXgFb$E9VgRzN%Ta)UaL3VY^BE>5(8JO#lNDVVFklG#tnLq!Sywvh>}>e3dQ->?
z@~uMmfFNTLWSms^BZne$G9HNmLkGnl#wEu6$9TkeGYm^VY-zlc6+3s{mPoq}Qnb2>
z&B0LUhG}myH91@xpkfZKx<ATbZd;02t3-OS#;!_o5vQo7u$}bkiJ5>}$MCt==%lf3
zWJZM=brR~vQEJX@pVCH1Bcpd%S*%jKEoK<hV2W%SOog&~ReF7upt3pd<7k&-r)ICZ
zS=ec|RCulvl)ljlo1wjwWmK7J8x`x^>7}9ZNnot<d(C$=L5193r-LtgdZYL+TO;rx
MfC>)?r-bi)0iLyOf&c&j

delta 473
zcmZ8cJxjzu5Z&1%d%1XLah(V%T1c=6Dx!smpjg`2ty<)6R+EsAW3#6So))Kw#T7?t
z5ljD!KOn7@zd*2Za|#~rGP5&pX5PI0v>w>fdb8=Q%|7u*O2|8zIEIdQwdDt+r9~H_
z8X5!Owy>i*0>V8-^Nh|A?x2P2j_@gjBjVOZH*=$xt=npvY1^w9PP9{GKu(N4=|i6?
zh^R6&3msA*Iy0{c8faEbL-QAb|A?|8c1;IkC4aq0s;!45bX+K{P8Mgfg!U?D=;wjJ
z5B)9T8q(Acug763a&;AppYSq76}YyndWv&cI4x-xIXe<E6nV)m{J1A_*WhL%{FJjq
zVCbi%nPezliEQYpuVXLB65;vnAoTXLPA?Iu%Dr<bu6&gxo*%~xU71Cqqw?YnHkYfR
z+|iCe1E!&+ubkGI+u*G0r&_eE>$F&*SUl7DjjA@@G~t>WEA4G9qZf;vO8l771_v6{
HftK|Rp*w7r

diff --git a/q02_plot/build.py b/q02_plot/build.py
index 70276d6..c7ae6a4 100644
--- a/q02_plot/build.py
+++ b/q02_plot/build.py
@@ -1,3 +1,4 @@
+# %load q02_plot/build.py
 # Default Imports
 import pandas as pd
 import matplotlib.pyplot as plt
@@ -9,4 +10,13 @@
 
 
 # Draw the plot for the mean, median and mode for the dataset
+def plot():
+    plt.hist(sale_price, bins = 50)
+    plt.axvline(sale_price.mean(),color = 'r')
+    plt.axvline(sale_price.median(), color = 'y')
+    plt.axvline(sale_price.mode()[0],color= 'b')
+    plt.show()
+plot()
+
+
 
diff --git a/q02_plot/tests/__pycache__/__init__.cpython-36.pyc b/q02_plot/tests/__pycache__/__init__.cpython-36.pyc
index 488a8902e9cb8aed0f38d008a72db519050c874f..ee09e4ebef844aeb60239d51d9afe722fe3e7d4b 100644
GIT binary patch
delta 52
zcmdnaxQ3C#n3tDJX!DNfi5%t%k@^|=xvBakMTyC&DXDqMsruphMcKs#K(2mreoE@Z
GEMEY$brI_T

delta 63
zcmZ3(xSf&1n3tF9Mq+E!L=JQ96#b0++*JL<q>M~`m;B_?+|<01V*T`@)XKz?{9OIS
SoE(LMqWrAX<dWiv@xB0_rxtzy

diff --git a/q02_plot/tests/__pycache__/test_q02_plot.cpython-36.pyc b/q02_plot/tests/__pycache__/test_q02_plot.cpython-36.pyc
index 56f4330f0a2304690672d2b540cbae5575db6a81..be3e5fe2aabc300f6bbd3ebe9d8879e47c5b40cb 100644
GIT binary patch
delta 55
zcmX@fzK@;5n3tDJX!DNfjT|+M3UT@w`MIh3B}IwJsVS*>$*KC``9;~q1wgKTa(+tc
J=JkwHOaS=A61@Nb

delta 66
zcmdnTev+NTn3tDpkM!KAjT|+M+L`(p`MIh3iAfom`Y!p&rManjCB^#bMX8mECHcAf
Wi8(n61x5K;smUe9o0l+3F#!PLp%(@K


From 45bf6bd082eff64ae26cf6e5b20f1cbdac7996d9 Mon Sep 17 00:00:00 2001
From: tracedence <shoaibrashid887@gmail.com>
Date: Sat, 6 Oct 2018 13:33:15 +0000
Subject: [PATCH 4/6] Done

---
 q02_plot/build.py | 3 +++
 1 file changed, 3 insertions(+)

diff --git a/q02_plot/build.py b/q02_plot/build.py
index c7ae6a4..aba306d 100644
--- a/q02_plot/build.py
+++ b/q02_plot/build.py
@@ -11,7 +11,10 @@
 
 # Draw the plot for the mean, median and mode for the dataset
 def plot():
+    
     plt.hist(sale_price, bins = 50)
+    
+    #for plotting vertical line in figure use axvline function
     plt.axvline(sale_price.mean(),color = 'r')
     plt.axvline(sale_price.median(), color = 'y')
     plt.axvline(sale_price.mode()[0],color= 'b')

From a25aaaa77b30b02b262301d95fa02aabffdf31b8 Mon Sep 17 00:00:00 2001
From: tracedence <shoaibrashid887@gmail.com>
Date: Sat, 6 Oct 2018 13:49:30 +0000
Subject: [PATCH 5/6] Done

---
 .../__pycache__/__init__.cpython-36.pyc       | Bin 192 -> 181 bytes
 .../__pycache__/build.cpython-36.pyc          | Bin 494 -> 495 bytes
 q03_pearson_correlation/build.py              |  12 ++++++++++++
 .../tests/__pycache__/__init__.cpython-36.pyc | Bin 198 -> 187 bytes
 .../test_q03_correlation.cpython-36.pyc       | Bin 1680 -> 1669 bytes
 5 files changed, 12 insertions(+)

diff --git a/q03_pearson_correlation/__pycache__/__init__.cpython-36.pyc b/q03_pearson_correlation/__pycache__/__init__.cpython-36.pyc
index 543c178c4df3a2d7e5b64ffe37ce6264e5b948ea..cc346439fc7e510401a07daad0b59a66fa39c7d5 100644
GIT binary patch
delta 52
zcmX@WxRsH^n3tDJX!DNfi5%t%N%|T2xvBakMTyC&DXDqMsruphMcKs#K(2mreoE@Z
GtS|t%PZAFR

delta 63
zcmdnWcz}_^n3tDp*}dkdi5%wIx%wITxvBbzNg0{?F8Rr&xv6<2#ro+*sg;Q(`MLUu
SIXMaiMfq8&$tA@T<HG>6mlo>)

diff --git a/q03_pearson_correlation/__pycache__/build.cpython-36.pyc b/q03_pearson_correlation/__pycache__/build.cpython-36.pyc
index ba8cf119e61bb596104a35e0bb902136188759a1..e13ecb1d4797b99de7148604bbe722ff1a329584 100644
GIT binary patch
delta 308
zcmaFI{GM6an3tDJZSRg~7A6LU#|%gS$Y*c>;$ppt%Ia*Xtj!FJ3=_RV>p|im><p5V
z0um(*DU6Z~wG1VUV4AUpA&aSov6(TLL6gZZiZeJdCpDlbGdWe0`4)FdVo73JQDSat
zydg5j=oU+Ieo>JoQxt14P`M$5GFr({#0s?FSG;~ker~FMNl{{Qsz^#|UUI5_cz#iK
zaRHF8pPZkPI@y*nD3uMUl!1|hk%PI29mvvTi()HC%u7iuzQt6K62(!JnwS!wTwGQJ
pa(odphyW=A+kixXOu5BjlbfGXnv-e=QdZ0XBsiG37`a$E*a33>Mg#x=

delta 306
zcmYjLu}Z{15Z&FxT#Q^}EqHK+rV46fAtGpf93D1l!k8V+E!k|C-4m?*0*k}i5Ac`L
z+G}rhyIOby?=ieLym{ZzS2R5vkF);Zz0{nsPqsC}?^ho7cs)H@&+lG>7kgX>ao>|;
ziYwtF#U+>GRV-K@&B{@aK-P3Q9}<nOF*1*bJqZpT2sBnF<?aGnoYS(#A+8P4wtM=)
zDDm09^rMQ#Xe{8qSr&&kre106oGl&+pTQYjK-*4wG74*F-_H4M6-qNsspmW?lO8$=
rb`ZTRQ$mncZJ#I#@jHRS+5fk{ZRE8fz0gLkTD%N-HuOnF#<OGtDDO(Q

diff --git a/q03_pearson_correlation/build.py b/q03_pearson_correlation/build.py
index 33a762b..355a30a 100644
--- a/q03_pearson_correlation/build.py
+++ b/q03_pearson_correlation/build.py
@@ -1,3 +1,4 @@
+# %load q03_pearson_correlation/build.py
 # Default Imports
 import pandas as pd
 
@@ -7,3 +8,14 @@
 
 # Return the correlation value between the SalePrice column for the two loaded datasets
 # Your code here
+def correlation():
+    sale1 = dataframe_1['SalePrice']
+    sale2 = dataframe_2['SalePrice']
+    #data = pd.concat([sale1,sale2],axis = 1)
+    #co = data.corr()
+    correlation = sale1.corr(sale2) #find correlation between sale1 and sale2
+    return correlation
+
+correlation()
+
+
diff --git a/q03_pearson_correlation/tests/__pycache__/__init__.cpython-36.pyc b/q03_pearson_correlation/tests/__pycache__/__init__.cpython-36.pyc
index d7eca9980cd94014cb671238783d84df5e9fb7da..ecc09650f2a30264c6c9ff80937fc4bd0a7fe857 100644
GIT binary patch
delta 52
zcmX@cxSNr~n3tDJX!DNfi5%t%8TuLdxvBakMTyC&DXDqMsruphMcKs#K(2mreoE@Z
GtQY{iixMXQ

delta 63
zcmdnZc#M(5n3tF9Mq+E!L=JQ9V*QN#+*JL<q>M~`m;B_?+|<01V*T`@)XKz?{9OIS
SoE(LMqWrAX<dWiv@i73XtQNWe

diff --git a/q03_pearson_correlation/tests/__pycache__/test_q03_correlation.cpython-36.pyc b/q03_pearson_correlation/tests/__pycache__/test_q03_correlation.cpython-36.pyc
index ed900c414bfa06c982ec1c9e9961fef6d1588d18..aa4772caea7c06c37f47c4bcc2640a6c899d7dd1 100644
GIT binary patch
delta 55
zcmbQh+seyf%*)Fqw0TGLMvhsG3MKj(`MIh3B}IwJsVS*>$*KC``9;~q1wgKTa(+tc
J=Ch24Spe+b6I1{I

delta 66
zcmZqWoxsas%*)GlBe6AVBgZU8?Rx!;{M=Oi#H5T&eV6>?(%jU%l4AYzqSVU7lKfo#
W#GD+3f};Ga)Z~)l&4(Bdvj70(`4{H^


From 598a0da7f5744cdacabd2884e576852ef1c3b174 Mon Sep 17 00:00:00 2001
From: tracedence <shoaibrashid887@gmail.com>
Date: Sat, 6 Oct 2018 14:42:05 +0000
Subject: [PATCH 6/6] Done

---
 .../__pycache__/__init__.cpython-36.pyc       | Bin 193 -> 182 bytes
 .../__pycache__/build.cpython-36.pyc          | Bin 505 -> 762 bytes
 q04_spearman_correlation/build.py             |  15 +++++++++++++++
 .../tests/__pycache__/__init__.cpython-36.pyc | Bin 199 -> 188 bytes
 ...st_q04_spearman_correlation.cpython-36.pyc | Bin 1717 -> 1706 bytes
 5 files changed, 15 insertions(+)

diff --git a/q04_spearman_correlation/__pycache__/__init__.cpython-36.pyc b/q04_spearman_correlation/__pycache__/__init__.cpython-36.pyc
index 78682675323d8e4b951373280266bfae3fe10d8b..5499663b1ece2871702ef32953fb107526bb3fd5 100644
GIT binary patch
delta 52
zcmX@exQ&s+n3tDJX!DNfi5%t%$@&@jxvBakMTyC&DXDqMsruphMcKs#K(2mreoE@Z
GtZ)Fi*%A`~

delta 63
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diff --git a/q04_spearman_correlation/build.py b/q04_spearman_correlation/build.py
index 557be32..b63336e 100644
--- a/q04_spearman_correlation/build.py
+++ b/q04_spearman_correlation/build.py
@@ -1,3 +1,4 @@
+# %load q04_spearman_correlation/build.py
 # Default Import
 import pandas as pd
 
@@ -5,4 +6,18 @@
 dataframe_2 = pd.read_csv('data/house_prices_copy.csv')
 
 # Your code here
+def spearman_correlation():
+    sale = pd.DataFrame(dataframe_1['SalePrice'])
+    sale2 = pd.DataFrame(dataframe_2['SalePrice'])
+    sale['rank'] = sale['SalePrice'].rank()
+    sale2['rank2'] = sale2['SalePrice'].rank()
+    df = pd.concat([sale,sale2], axis = 1)
+    df['d'] = abs(df['rank'] - df['rank2'])
+    df['d squared'] = df['d'] ** 2
+    s= df['d squared'].sum()
+    n = len(df)
+    result = 1- (6*s)/(n*(n**2-1))
+    return result
+
+
 
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