library(tidyverse)
## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ dplyr     1.1.4     ✔ readr     2.1.5
## ✔ forcats   1.0.0     ✔ stringr   1.5.1
## ✔ ggplot2   3.5.1     ✔ tibble    3.2.1
## ✔ lubridate 1.9.3     ✔ tidyr     1.3.1
## ✔ purrr     1.0.2     
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag()    masks stats::lag()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
library(readxl)


district<-read_xls("District.xls")
summary(district)
##    DISTNAME           DISTRICT           DZCNTYNM            REGION         
##  Length:1207        Length:1207        Length:1207        Length:1207       
##  Class :character   Class :character   Class :character   Class :character  
##  Mode  :character   Mode  :character   Mode  :character   Mode  :character  
##                                                                             
##                                                                             
##                                                                             
##                                                                             
##    DZRATING            DZCAMPUS          DPETALLC           DPETBLAP     
##  Length:1207        Min.   :  1.000   Min.   :     4.0   Min.   : 0.000  
##  Class :character   1st Qu.:  2.000   1st Qu.:   337.5   1st Qu.: 0.700  
##  Mode  :character   Median :  3.000   Median :   884.0   Median : 2.900  
##                     Mean   :  7.428   Mean   :  4476.3   Mean   : 8.765  
##                     3rd Qu.:  5.000   3rd Qu.:  2746.0   3rd Qu.:10.750  
##                     Max.   :273.000   Max.   :193727.0   Max.   :98.100  
##                                                                          
##     DPETHISP         DPETWHIP        DPETINDP          DPETASIP     
##  Min.   :  0.00   Min.   : 0.00   Min.   : 0.0000   Min.   : 0.000  
##  1st Qu.: 21.00   1st Qu.:18.55   1st Qu.: 0.0000   1st Qu.: 0.000  
##  Median : 37.90   Median :44.40   Median : 0.2000   Median : 0.400  
##  Mean   : 43.29   Mean   :43.15   Mean   : 0.3283   Mean   : 1.614  
##  3rd Qu.: 61.90   3rd Qu.:67.75   3rd Qu.: 0.4000   3rd Qu.: 1.000  
##  Max.   :100.00   Max.   :97.10   Max.   :19.8000   Max.   :54.300  
##                                                                     
##     DPETPCIP          DPETTWOP         DPETECOP         DPETLEPP     
##  Min.   : 0.0000   Min.   : 0.000   Min.   :  0.00   Min.   :  0.00  
##  1st Qu.: 0.0000   1st Qu.: 1.200   1st Qu.: 47.95   1st Qu.:  2.90  
##  Median : 0.0000   Median : 2.400   Median : 61.90   Median :  7.50  
##  Mean   : 0.1005   Mean   : 2.758   Mean   : 60.75   Mean   : 12.69  
##  3rd Qu.: 0.1000   3rd Qu.: 3.900   3rd Qu.: 77.15   3rd Qu.: 17.00  
##  Max.   :14.5000   Max.   :15.000   Max.   :100.00   Max.   :100.00  
##                                                                      
##     DPETSPEP        DPETBILP         DPETVOCP        DPETGIFP      
##  Min.   : 0.00   Min.   :  0.00   Min.   : 0.00   Min.   :  0.000  
##  1st Qu.: 9.90   1st Qu.:  2.90   1st Qu.:23.00   1st Qu.:  3.100  
##  Median :12.10   Median :  7.30   Median :27.80   Median :  5.400  
##  Mean   :12.27   Mean   : 12.58   Mean   :26.47   Mean   :  5.574  
##  3rd Qu.:14.20   3rd Qu.: 16.80   3rd Qu.:32.90   3rd Qu.:  7.500  
##  Max.   :51.70   Max.   :100.00   Max.   :82.80   Max.   :100.000  
##                                                                    
##     DA0AT21R       DA0912DR21R       DAGC4X21R        DAGC5X20R     
##  Min.   : -1.00   Min.   :-1.000   Min.   : -1.00   Min.   : -1.00  
##  1st Qu.: 94.05   1st Qu.: 0.000   1st Qu.: 93.20   1st Qu.: 95.50  
##  Median : 95.40   Median : 0.400   Median : 96.90   Median : 98.30  
##  Mean   : 94.76   Mean   : 1.243   Mean   : 93.91   Mean   : 95.76  
##  3rd Qu.: 96.40   3rd Qu.: 1.400   3rd Qu.:100.00   3rd Qu.:100.00  
##  Max.   :100.00   Max.   :50.500   Max.   :100.00   Max.   :100.00  
##  NA's   :4        NA's   :112      NA's   :133      NA's   :141     
##    DAGC6X19R         DA0GR21N          DA0GS21N      DDA00A001S22R   
##  Min.   : -1.00   Min.   :    1.0   Min.   :   0.0   Min.   :  4.00  
##  1st Qu.: 95.20   1st Qu.:   29.0   1st Qu.:  26.0   1st Qu.: 68.00  
##  Median : 98.20   Median :   69.0   Median :  61.0   Median : 76.00  
##  Mean   : 95.72   Mean   :  331.6   Mean   : 278.9   Mean   : 74.77  
##  3rd Qu.:100.00   3rd Qu.:  208.0   3rd Qu.: 167.0   3rd Qu.: 83.00  
##  Max.   :100.00   Max.   :11588.0   Max.   :9607.0   Max.   :100.00  
##  NA's   :149      NA's   :126       NA's   :126      NA's   :5       
##  DDA00A001222R   DDA00A001322R   DDA00AR01S22R    DDA00AR01222R   
##  Min.   : 0.00   Min.   : 0.00   Min.   : -1.00   Min.   : -1.00  
##  1st Qu.:37.00   1st Qu.:15.00   1st Qu.: 70.00   1st Qu.: 43.00  
##  Median :46.00   Median :20.00   Median : 77.00   Median : 52.00  
##  Mean   :46.48   Mean   :21.05   Mean   : 76.22   Mean   : 52.12  
##  3rd Qu.:55.00   3rd Qu.:26.00   3rd Qu.: 84.00   3rd Qu.: 61.00  
##  Max.   :88.00   Max.   :64.00   Max.   :100.00   Max.   :100.00  
##  NA's   :5       NA's   :5       NA's   :5        NA's   :5       
##  DDA00AR01322R   DDA00AM01S22R    DDA00AM01222R   DDA00AM01322R  
##  Min.   :-1.00   Min.   : -1.00   Min.   :-1.00   Min.   :-1.00  
##  1st Qu.:17.00   1st Qu.: 66.00   1st Qu.:30.00   1st Qu.:11.00  
##  Median :22.00   Median : 74.00   Median :40.00   Median :17.00  
##  Mean   :23.64   Mean   : 72.78   Mean   :40.51   Mean   :18.21  
##  3rd Qu.:29.00   3rd Qu.: 82.00   3rd Qu.:50.00   3rd Qu.:23.00  
##  Max.   :66.00   Max.   :100.00   Max.   :91.00   Max.   :65.00  
##  NA's   :5       NA's   :5        NA's   :5       NA's   :5      
##  DDA00AC01S22R    DDA00AC01222R    DDA00AC01322R   DDA00AS01S22R   
##  Min.   : -1.00   Min.   : -1.00   Min.   :-1.00   Min.   : -1.00  
##  1st Qu.: 68.00   1st Qu.: 34.00   1st Qu.:10.00   1st Qu.: 66.00  
##  Median : 77.00   Median : 44.00   Median :16.00   Median : 75.00  
##  Mean   : 75.04   Mean   : 44.29   Mean   :17.39   Mean   : 73.09  
##  3rd Qu.: 85.00   3rd Qu.: 55.00   3rd Qu.:23.00   3rd Qu.: 83.00  
##  Max.   :100.00   Max.   :100.00   Max.   :56.00   Max.   :100.00  
##  NA's   :11       NA's   :11       NA's   :11      NA's   :43      
##  DDA00AS01222R   DDA00AS01322R   DDB00A001S22R    DDB00A001222R  
##  Min.   : -1.0   Min.   :-1.00   Min.   : -1.00   Min.   : -1.0  
##  1st Qu.: 37.0   1st Qu.:17.00   1st Qu.: 50.00   1st Qu.: 21.0  
##  Median : 46.0   Median :24.00   Median : 63.00   Median : 31.0  
##  Mean   : 45.7   Mean   :25.29   Mean   : 57.65   Mean   : 31.5  
##  3rd Qu.: 55.0   3rd Qu.:32.00   3rd Qu.: 74.50   3rd Qu.: 43.0  
##  Max.   :100.0   Max.   :77.00   Max.   :100.00   Max.   :100.0  
##  NA's   :43      NA's   :43      NA's   :192      NA's   :192    
##  DDB00A001322R   DDH00A001S22R   DDH00A001222R    DDH00A001322R  
##  Min.   :-1.00   Min.   : -1.0   Min.   : -1.00   Min.   :-1.00  
##  1st Qu.: 5.00   1st Qu.: 66.0   1st Qu.: 34.00   1st Qu.:12.00  
##  Median :11.00   Median : 73.0   Median : 41.00   Median :16.00  
##  Mean   :12.45   Mean   : 71.7   Mean   : 41.63   Mean   :16.86  
##  3rd Qu.:17.00   3rd Qu.: 80.0   3rd Qu.: 49.00   3rd Qu.:21.00  
##  Max.   :90.00   Max.   :100.0   Max.   :100.00   Max.   :59.00  
##  NA's   :192     NA's   :6       NA's   :6        NA's   :6      
##  DDW00A001S22R    DDW00A001222R    DDW00A001322R   DDI00A001S22R  
##  Min.   : -1.00   Min.   : -1.00   Min.   :-1.00   Min.   : -1.0  
##  1st Qu.: 75.00   1st Qu.: 45.00   1st Qu.:19.00   1st Qu.: -1.0  
##  Median : 82.00   Median : 54.00   Median :26.00   Median : 66.0  
##  Mean   : 78.69   Mean   : 53.24   Mean   :26.15   Mean   : 50.8  
##  3rd Qu.: 88.00   3rd Qu.: 63.00   3rd Qu.:33.00   3rd Qu.: 83.0  
##  Max.   :100.00   Max.   :100.00   Max.   :79.00   Max.   :100.0  
##  NA's   :26       NA's   :26       NA's   :26      NA's   :472    
##  DDI00A001222R    DDI00A001322R    DD300A001S22R   DD300A001222R   
##  Min.   : -1.00   Min.   : -1.00   Min.   : -1.0   Min.   : -1.00  
##  1st Qu.: -1.00   1st Qu.: -1.00   1st Qu.: 50.0   1st Qu.: 17.00  
##  Median : 35.00   Median : 11.00   Median : 89.0   Median : 67.00  
##  Mean   : 32.08   Mean   : 14.35   Mean   : 67.8   Mean   : 53.76  
##  3rd Qu.: 54.00   3rd Qu.: 23.00   3rd Qu.: 96.0   3rd Qu.: 80.00  
##  Max.   :100.00   Max.   :100.00   Max.   :100.0   Max.   :100.00  
##  NA's   :472      NA's   :472      NA's   :423     NA's   :423     
##  DD300A001322R    DD400A001S22R    DD400A001222R    DD400A001322R  
##  Min.   : -1.00   Min.   : -1.00   Min.   : -1.00   Min.   :-1.00  
##  1st Qu.:  0.00   1st Qu.: -1.00   1st Qu.: -1.00   1st Qu.:-1.00  
##  Median : 37.00   Median : 60.00   Median : 22.50   Median : 0.00  
##  Mean   : 33.08   Mean   : 44.08   Mean   : 29.23   Mean   :14.05  
##  3rd Qu.: 52.00   3rd Qu.: 83.00   3rd Qu.: 56.75   3rd Qu.:25.75  
##  Max.   :100.00   Max.   :100.00   Max.   :100.00   Max.   :83.00  
##  NA's   :423      NA's   :797      NA's   :797      NA's   :797    
##  DD200A001S22R    DD200A001222R    DD200A001322R    DDE00A001S22R   
##  Min.   : -1.00   Min.   : -1.00   Min.   : -1.00   Min.   : -1.00  
##  1st Qu.: 64.00   1st Qu.: 33.00   1st Qu.: 10.00   1st Qu.: 63.00  
##  Median : 76.00   Median : 47.00   Median : 20.00   Median : 70.00  
##  Mean   : 68.18   Mean   : 43.98   Mean   : 21.06   Mean   : 69.68  
##  3rd Qu.: 86.00   3rd Qu.: 60.00   3rd Qu.: 30.00   3rd Qu.: 77.00  
##  Max.   :100.00   Max.   :100.00   Max.   :100.00   Max.   :100.00  
##  NA's   :133      NA's   :133      NA's   :133      NA's   :10      
##  DDE00A001222R    DDE00A001322R     DA0CT21R         DA0CC21R    
##  Min.   : -1.00   Min.   :-1.0   Min.   : -2.00   Min.   :-1.00  
##  1st Qu.: 32.00   1st Qu.:12.0   1st Qu.: 40.42   1st Qu.:12.90  
##  Median : 39.00   Median :15.0   Median : 63.05   Median :23.55  
##  Mean   : 39.23   Mean   :15.9   Mean   : 60.76   Mean   :26.10  
##  3rd Qu.: 46.00   3rd Qu.:19.0   3rd Qu.: 85.38   3rd Qu.:37.08  
##  Max.   :100.00   Max.   :80.0   Max.   :100.00   Max.   :97.70  
##  NA's   :10       NA's   :10     NA's   :125      NA's   :147    
##    DA0CSA21R        DA0CAA21R        DPSATOFC          DPSTTOFC       
##  Min.   :  -1.0   Min.   :-1.00   Min.   :    1.0   Min.   :    0.00  
##  1st Qu.: 887.0   1st Qu.:16.30   1st Qu.:   58.9   1st Qu.:   30.57  
##  Median : 973.0   Median :19.00   Median :  144.1   Median :   72.00  
##  Mean   : 823.9   Mean   :16.13   Mean   :  622.5   Mean   :  307.06  
##  3rd Qu.:1039.0   3rd Qu.:21.20   3rd Qu.:  405.2   3rd Qu.:  196.50  
##  Max.   :1344.0   Max.   :31.40   Max.   :23716.2   Max.   :10619.50  
##  NA's   :262      NA's   :236     NA's   :3         NA's   :3         
##     DPSCTOFP         DPSSTOFP         DPSUTOFP         DPSTTOFP    
##  Min.   : 0.000   Min.   :  0.00   Min.   : 0.000   Min.   : 0.00  
##  1st Qu.: 1.200   1st Qu.:  2.60   1st Qu.: 4.100   1st Qu.:46.60  
##  Median : 1.800   Median :  3.10   Median : 6.600   Median :50.80  
##  Mean   : 2.178   Mean   :  3.58   Mean   : 7.169   Mean   :50.98  
##  3rd Qu.: 2.600   3rd Qu.:  3.90   3rd Qu.: 9.800   3rd Qu.:54.80  
##  Max.   :14.900   Max.   :100.00   Max.   :49.700   Max.   :88.30  
##  NA's   :3        NA's   :3        NA's   :3        NA's   :3      
##     DPSETOFP        DPSXTOFP        DPSCTOSA         DPSSTOSA     
##  Min.   : 0.00   Min.   : 0.00   Min.   :    -2   Min.   :    -2  
##  1st Qu.: 9.70   1st Qu.:19.38   1st Qu.: 95459   1st Qu.: 73469  
##  Median :12.60   Median :23.65   Median :106674   Median : 78723  
##  Mean   :12.95   Mean   :23.14   Mean   :108039   Mean   : 79435  
##  3rd Qu.:16.20   3rd Qu.:27.50   3rd Qu.:119540   3rd Qu.: 84945  
##  Max.   :48.80   Max.   :55.40   Max.   :270000   Max.   :192500  
##  NA's   :3       NA's   :3       NA's   :10       NA's   :11      
##     DPSUTOSA         DPSTTOSA         DPSAMIFP         DPSAKIDR      
##  Min.   :    -2   Min.   : 36081   Min.   :  0.00   Min.   :  0.100  
##  1st Qu.: 57969   1st Qu.: 50439   1st Qu.: 13.30   1st Qu.:  5.400  
##  Median : 63015   Median : 53382   Median : 26.60   Median :  6.300  
##  Mean   : 62424   Mean   : 53971   Mean   : 35.24   Mean   :  6.734  
##  3rd Qu.: 67941   3rd Qu.: 56919   3rd Qu.: 50.62   3rd Qu.:  7.300  
##  Max.   :228972   Max.   :110560   Max.   :100.00   Max.   :349.100  
##  NA's   :54       NA's   :4        NA's   :3        NA's   :3        
##     DPSTKIDR        DPST05FP         DPSTEXPA        DPSTADFP    
##  Min.   :-2.00   Min.   :  0.00   Min.   : 0.00   Min.   : 0.00  
##  1st Qu.:10.80   1st Qu.: 24.35   1st Qu.:10.07   1st Qu.:14.88  
##  Median :12.70   Median : 32.40   Median :12.00   Median :20.90  
##  Mean   :12.56   Mean   : 34.88   Mean   :11.75   Mean   :20.86  
##  3rd Qu.:14.40   3rd Qu.: 41.65   3rd Qu.:13.90   3rd Qu.:26.12  
##  Max.   :37.30   Max.   :100.00   Max.   :22.90   Max.   :78.70  
##  NA's   :3       NA's   :3        NA's   :3       NA's   :3      
##     DPSTURNR         DPSTBLFP         DPSTHIFP         DPSTWHFP     
##  Min.   :  0.00   Min.   :  0.00   Min.   :  0.00   Min.   :  0.00  
##  1st Qu.: 14.80   1st Qu.:  0.00   1st Qu.:  4.20   1st Qu.: 58.67  
##  Median : 19.50   Median :  1.60   Median : 10.10   Median : 82.40  
##  Mean   : 21.51   Mean   :  6.99   Mean   : 19.05   Mean   : 71.57  
##  3rd Qu.: 25.90   3rd Qu.:  6.20   3rd Qu.: 22.50   3rd Qu.: 92.60  
##  Max.   :100.00   Max.   :100.00   Max.   :100.00   Max.   :100.00  
##  NA's   :7        NA's   :3        NA's   :3        NA's   :3       
##     DPSTINFP          DPSTASFP         DPSTPIFP          DPSTTWFP      
##  Min.   : 0.0000   Min.   : 0.000   Min.   :0.00000   Min.   : 0.0000  
##  1st Qu.: 0.0000   1st Qu.: 0.000   1st Qu.:0.00000   1st Qu.: 0.0000  
##  Median : 0.0000   Median : 0.000   Median :0.00000   Median : 0.0000  
##  Mean   : 0.3566   Mean   : 1.118   Mean   :0.08206   Mean   : 0.7566  
##  3rd Qu.: 0.3000   3rd Qu.: 0.900   3rd Qu.:0.00000   3rd Qu.: 1.2000  
##  Max.   :16.7000   Max.   :94.800   Max.   :7.80000   Max.   :11.7000  
##  NA's   :3         NA's   :3        NA's   :3         NA's   :3        
##     DPSTREFP         DPSTSPFP         DPSTCOFP         DPSTBIFP     
##  Min.   :  0.00   Min.   : 0.000   Min.   : 0.000   Min.   : 0.000  
##  1st Qu.: 71.00   1st Qu.: 4.500   1st Qu.: 0.000   1st Qu.: 0.000  
##  Median : 76.90   Median : 7.000   Median : 3.350   Median : 0.000  
##  Mean   : 76.87   Mean   : 7.145   Mean   : 4.131   Mean   : 2.311  
##  3rd Qu.: 82.42   3rd Qu.: 9.600   3rd Qu.: 6.125   3rd Qu.: 2.100  
##  Max.   :100.00   Max.   :22.800   Max.   :32.500   Max.   :94.300  
##  NA's   :3        NA's   :3        NA's   :3        NA's   :3       
##     DPSTVOFP         DPSTGOFP         DPFVTOTK           DPFTADPR     
##  Min.   : 0.000   Min.   : 0.000   Min.   :       0   Min.   :0.0000  
##  1st Qu.: 4.800   1st Qu.: 0.000   1st Qu.:  238299   1st Qu.:0.9892  
##  Median : 7.000   Median : 1.200   Median :  419144   Median :1.1670  
##  Mean   : 7.154   Mean   : 2.308   Mean   :  665067   Mean   :1.0212  
##  3rd Qu.: 9.425   3rd Qu.: 3.700   3rd Qu.:  670248   3rd Qu.:1.3017  
##  Max.   :71.900   Max.   :30.800   Max.   :26416597   Max.   :1.7480  
##  NA's   :3        NA's   :3        NA's   :5          NA's   :5       
##    DPFRAALLT           DPFRAALLK        DPFRAOPRT           DPFRASTAP     
##  Min.   :6.428e+05   Min.   :  8923   Min.   :6.428e+05   Min.   :  1.70  
##  1st Qu.:5.828e+06   1st Qu.: 12953   1st Qu.:5.524e+06   1st Qu.: 33.85  
##  Median :1.381e+07   Median : 14653   Median :1.241e+07   Median : 51.00  
##  Mean   :5.995e+07   Mean   : 16365   Mean   :5.129e+07   Mean   : 49.05  
##  3rd Qu.:3.805e+07   3rd Qu.: 17081   3rd Qu.:3.241e+07   3rd Qu.: 64.80  
##  Max.   :2.619e+09   Max.   :214078   Max.   :2.213e+09   Max.   :103.40  
##  NA's   :5           NA's   :5        NA's   :5           NA's   :5       
##     DZRVLOCP       DPFRAFEDP       DPFRAORVT           DPFUNAB1T        
##  Min.   :-6.20   Min.   : 0.00   Min.   :  -655726   Min.   :  -746998  
##  1st Qu.:21.10   1st Qu.: 8.70   1st Qu.:    98311   1st Qu.:  1226730  
##  Median :35.30   Median :12.30   Median :  1093332   Median :  3589384  
##  Mean   :37.92   Mean   :13.04   Mean   :  8659622   Mean   : 13498263  
##  3rd Qu.:53.70   3rd Qu.:16.20   3rd Qu.:  4471240   3rd Qu.:  9357248  
##  Max.   :97.60   Max.   :49.00   Max.   :405596099   Max.   :662450197  
##  NA's   :5       NA's   :5       NA's   :5           NA's   :5          
##     DPFUNA4T           DPFEAALLT           DPFEAOPFT           DPFEAOPFK     
##  Min.   : -7033092   Min.   :6.229e+05   Min.   :6.120e+05   Min.   :  6755  
##  1st Qu.:        0   1st Qu.:5.475e+06   1st Qu.:4.754e+06   1st Qu.: 10916  
##  Median :        0   Median :1.328e+07   Median :1.102e+07   Median : 12228  
##  Mean   :   510514   Mean   :6.597e+07   Mean   :4.951e+07   Mean   : 13121  
##  3rd Qu.:        0   3rd Qu.:3.787e+07   3rd Qu.:3.038e+07   3rd Qu.: 14012  
##  Max.   :126144201   Max.   :2.656e+09   Max.   :2.068e+09   Max.   :178467  
##  NA's   :5           NA's   :5           NA's   :5           NA's   :5       
##    DPFEAINSP        DZEXADMP         DZEXADSP         DZEXPLAP    
##  Min.   :18.50   Min.   : 2.700   Min.   : 0.000   Min.   : 0.20  
##  1st Qu.:52.00   1st Qu.: 7.125   1st Qu.: 4.900   1st Qu.:10.40  
##  Median :55.10   Median : 8.800   Median : 5.700   Median :11.80  
##  Mean   :54.73   Mean   : 9.606   Mean   : 6.015   Mean   :12.46  
##  3rd Qu.:57.80   3rd Qu.:11.200   3rd Qu.: 6.400   3rd Qu.:13.50  
##  Max.   :84.40   Max.   :35.800   Max.   :22.700   Max.   :43.10  
##  NA's   :5       NA's   :5        NA's   :5        NA's   :5      
##     DZEXOTHP       DPFEAINST           DPFEAINSK       DPFPAREGP    
##  Min.   : 0.30   Min.   :2.439e+05   Min.   : 3122   Min.   : 0.00  
##  1st Qu.:15.30   1st Qu.:2.563e+06   1st Qu.: 6056   1st Qu.:35.12  
##  Median :18.00   Median :6.013e+06   Median : 6702   Median :39.70  
##  Mean   :17.15   Mean   :2.835e+07   Mean   : 7074   Mean   :39.80  
##  3rd Qu.:20.00   3rd Qu.:1.683e+07   3rd Qu.: 7577   3rd Qu.:43.90  
##  Max.   :69.30   Max.   :1.177e+09   Max.   :54954   Max.   :79.10  
##  NA's   :5       NA's   :5           NA's   :5       NA's   :5      
##    DPFPASPEP        DPFPACOMP        DPFPABILP         DPFPAVOCP    
##  Min.   : 0.000   Min.   : 0.000   Min.   : 0.0000   Min.   : 0.00  
##  1st Qu.: 5.800   1st Qu.: 6.500   1st Qu.: 0.1000   1st Qu.: 2.90  
##  Median : 8.900   Median : 9.200   Median : 0.4000   Median : 4.10  
##  Mean   : 9.711   Mean   : 9.883   Mean   : 0.7496   Mean   : 3.96  
##  3rd Qu.:12.500   3rd Qu.:12.100   3rd Qu.: 1.0000   3rd Qu.: 5.20  
##  Max.   :49.000   Max.   :90.600   Max.   :26.0000   Max.   :19.80  
##  NA's   :5        NA's   :5        NA's   :5         NA's   :5      
##    DPFPAGIFP        DPFPAATHP       DPFPAHSAP         DPFPREKP      
##  Min.   :0.0000   Min.   :0.000   Min.   :0.0000   Min.   : 0.0000  
##  1st Qu.:0.0000   1st Qu.:1.600   1st Qu.:0.0000   1st Qu.: 0.0000  
##  Median :0.2000   Median :2.900   Median :0.0000   Median : 0.6000  
##  Mean   :0.3823   Mean   :2.809   Mean   :0.1578   Mean   : 0.8909  
##  3rd Qu.:0.4000   3rd Qu.:4.000   3rd Qu.:0.1000   3rd Qu.: 1.3000  
##  Max.   :6.9000   Max.   :9.000   Max.   :3.4000   Max.   :31.7000  
##  NA's   :5        NA's   :5       NA's   :5        NA's   :5        
##    DPFPAOTHP       DISTSIZE           COMMTYPE           PROPWLTH        
##  Min.   : 3.50   Length:1207        Length:1207        Length:1207       
##  1st Qu.:25.40   Class :character   Class :character   Class :character  
##  Median :28.70   Mode  :character   Mode  :character   Mode  :character  
##  Mean   :29.22                                                           
##  3rd Qu.:32.40                                                           
##  Max.   :76.30                                                           
##  NA's   :5                                                               
##    TAXRATE         
##  Length:1207       
##  Class :character  
##  Mode  :character  
##                    
##                    
##                    
## 
district_lm<-lm(DPFUNAB1T~DPFEAINSP+DPETECOP,data = district)

summary(district_lm)
## 
## Call:
## lm(formula = DPFUNAB1T ~ DPFEAINSP + DPETECOP, data = district)
## 
## Residuals:
##       Min        1Q    Median        3Q       Max 
## -44870238 -12054847  -7474999  -1109330 648989989 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -59929369   12571076  -4.767 2.10e-06 ***
## DPFEAINSP     1255326     210684   5.958 3.35e-09 ***
## DPETECOP        77629      51639   1.503    0.133    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 37930000 on 1199 degrees of freedom
##   (5 observations deleted due to missingness)
## Multiple R-squared:  0.02886,    Adjusted R-squared:  0.02724 
## F-statistic: 17.81 on 2 and 1199 DF,  p-value: 2.377e-08

#r-squared value: 0.02724 #Multiple R-squared: 0.02886 #p-value: 2.377e-08 #Adjusted R-squared: 0.02724 = 2.7%

#***=very significant #EXPENDITURE: % INSTRUCTIONAL has a very significant effect on FUND BALANCE FOR ISDs

#the percentage is 2.9% effect, which is low.

#EXPENDITURE: % INSTRUCTIONAL has a low p-value (below 0.05) which is significant. #STUDENTS: % ECONOMICALLY DISADVANTAGED p-value is not significant.

#EXPENDITURE: % INSTRUCTIONAL estimate (Beta coefficient) is 1,255,326, if it increases so does FUND BALANCE (FOR ISDS)

model <- lm(DPFUNAB1T ~ DPFEAINSP + DPETECOP, data = district)
plot(model, which=1)

#There are 3 outliers at 285,533,and 529. My model meets the assumption of linearity in between 0e+00 and 2e+07 the most.