Actividad 1 REGRESIÓN LÍNEAL
Luisa Beltrán A01570690
2023-09-20
ACTIVIDAD 1 BICI
Importar la base de datos
library(dplyr)##
## Attaching package: 'dplyr'## The following objects are masked from 'package:stats':
##
## filter, lag## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, unionlibrary(readr)
rentadebicis <- read_csv("rentadebicis.csv")## Rows: 10886 Columns: 14## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## dbl (14): hora, dia, mes, año, estacion, dia_de_la_semana, asueto, temperatu...
##
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.View(rentadebicis)Entender la base de datos
summary(rentadebicis)## hora dia mes año
## Min. : 0.00 Min. : 1.000 Min. : 1.000 Min. :2011
## 1st Qu.: 6.00 1st Qu.: 5.000 1st Qu.: 4.000 1st Qu.:2011
## Median :12.00 Median :10.000 Median : 7.000 Median :2012
## Mean :11.54 Mean : 9.993 Mean : 6.521 Mean :2012
## 3rd Qu.:18.00 3rd Qu.:15.000 3rd Qu.:10.000 3rd Qu.:2012
## Max. :23.00 Max. :19.000 Max. :12.000 Max. :2012
## estacion dia_de_la_semana asueto temperatura
## Min. :1.000 Min. :1.000 Min. :0.00000 Min. : 0.82
## 1st Qu.:2.000 1st Qu.:2.000 1st Qu.:0.00000 1st Qu.:13.94
## Median :3.000 Median :4.000 Median :0.00000 Median :20.50
## Mean :2.507 Mean :4.014 Mean :0.02857 Mean :20.23
## 3rd Qu.:4.000 3rd Qu.:6.000 3rd Qu.:0.00000 3rd Qu.:26.24
## Max. :4.000 Max. :7.000 Max. :1.00000 Max. :41.00
## sensacion_termica humedad velocidad_del_viento
## Min. : 0.76 Min. : 0.00 Min. : 0.000
## 1st Qu.:16.66 1st Qu.: 47.00 1st Qu.: 7.002
## Median :24.24 Median : 62.00 Median :12.998
## Mean :23.66 Mean : 61.89 Mean :12.799
## 3rd Qu.:31.06 3rd Qu.: 77.00 3rd Qu.:16.998
## Max. :45.45 Max. :100.00 Max. :56.997
## rentas_de_no_registrados rentas_de_registrados rentas_totales
## Min. : 0.00 Min. : 0.0 Min. : 1.0
## 1st Qu.: 4.00 1st Qu.: 36.0 1st Qu.: 42.0
## Median : 17.00 Median :118.0 Median :145.0
## Mean : 36.02 Mean :155.6 Mean :191.6
## 3rd Qu.: 49.00 3rd Qu.:222.0 3rd Qu.:284.0
## Max. :367.00 Max. :886.0 Max. :977.0#OBSERVACIONES
#1.Los días llegasta hasta el 19 y no 31.Generar la regresión lineal
regresion <- lm(rentas_totales ~hora+dia+mes+año+estacion+dia_de_la_semana+asueto+temperatura+sensacion_termica+humedad+velocidad_del_viento,data=rentadebicis)
summary(regresion)##
## Call:
## lm(formula = rentas_totales ~ hora + dia + mes + año + estacion +
## dia_de_la_semana + asueto + temperatura + sensacion_termica +
## humedad + velocidad_del_viento, data = rentadebicis)
##
## Residuals:
## Min 1Q Median 3Q Max
## -305.52 -93.64 -27.70 61.85 649.10
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -1.661e+05 5.496e+03 -30.217 < 2e-16 ***
## hora 7.735e+00 2.070e-01 37.368 < 2e-16 ***
## dia 3.844e-01 2.482e-01 1.549 0.12150
## mes 9.996e+00 1.682e+00 5.943 2.89e-09 ***
## año 8.258e+01 2.732e+00 30.225 < 2e-16 ***
## estacion -7.774e+00 5.177e+00 -1.502 0.13324
## dia_de_la_semana 4.393e-01 6.918e-01 0.635 0.52545
## asueto -4.864e+00 8.365e+00 -0.582 0.56089
## temperatura 1.582e+00 1.038e+00 1.524 0.12752
## sensacion_termica 4.748e+00 9.552e-01 4.971 6.76e-07 ***
## humedad -2.115e+00 7.884e-02 -26.827 < 2e-16 ***
## velocidad_del_viento 5.582e-01 1.809e-01 3.086 0.00203 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 141.7 on 10874 degrees of freedom
## Multiple R-squared: 0.3891, Adjusted R-squared: 0.3885
## F-statistic: 629.6 on 11 and 10874 DF, p-value: < 2.2e-16Ajustar el modelo
regresion <- lm(rentas_totales ~hora+mes+año+sensacion_termica+humedad+velocidad_del_viento,data=rentadebicis)
summary(regresion)##
## Call:
## lm(formula = rentas_totales ~ hora + mes + año + sensacion_termica +
## humedad + velocidad_del_viento, data = rentadebicis)
##
## Residuals:
## Min 1Q Median 3Q Max
## -308.60 -93.85 -28.34 61.05 648.09
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -1.662e+05 5.496e+03 -30.250 < 2e-16 ***
## hora 7.734e+00 2.070e-01 37.364 < 2e-16 ***
## mes 7.574e+00 4.207e-01 18.002 < 2e-16 ***
## año 8.266e+01 2.732e+00 30.258 < 2e-16 ***
## sensacion_termica 6.172e+00 1.689e-01 36.539 < 2e-16 ***
## humedad -2.121e+00 7.858e-02 -26.988 < 2e-16 ***
## velocidad_del_viento 6.208e-01 1.771e-01 3.506 0.000457 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 141.7 on 10879 degrees of freedom
## Multiple R-squared: 0.3886, Adjusted R-squared: 0.3883
## F-statistic: 1153 on 6 and 10879 DF, p-value: < 2.2e-16Construir un modelo predictivo
datos <- data.frame(hora=11.54,mes=1:12,año=2013,sensacion_termica=23.66,humedad=61.89,velocidad_del_viento=12.799)
predict(regresion,datos)## 1 2 3 4 5 6 7 8
## 273.6001 281.1738 288.7475 296.3213 303.8950 311.4687 319.0424 326.6161
## 9 10 11 12
## 334.1898 341.7635 349.3372 356.9110ACTIVIDAD 2 HOUSEPRICEDATA
Importar la base de datos
library(dplyr)
library(readr)
library(readr)
HousePriceData <- read_csv("HousePriceData.csv")## Rows: 905 Columns: 10
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (2): Parking, City_Category
## dbl (8): Observation, Dist_Taxi, Dist_Market, Dist_Hospital, Carpet, Builtup...
##
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.View(HousePriceData)Entender la base de datos
summary(HousePriceData)## Observation Dist_Taxi Dist_Market Dist_Hospital
## Min. : 1.0 Min. : 146 Min. : 1666 Min. : 3227
## 1st Qu.:237.0 1st Qu.: 6477 1st Qu.: 9367 1st Qu.:11302
## Median :469.0 Median : 8228 Median :11149 Median :13189
## Mean :468.4 Mean : 8235 Mean :11022 Mean :13091
## 3rd Qu.:700.0 3rd Qu.: 9939 3rd Qu.:12675 3rd Qu.:14855
## Max. :932.0 Max. :20662 Max. :20945 Max. :23294
##
## Carpet Builtup Parking City_Category
## Min. : 775 Min. : 932 Length:905 Length:905
## 1st Qu.: 1317 1st Qu.: 1579 Class :character Class :character
## Median : 1478 Median : 1774 Mode :character Mode :character
## Mean : 1511 Mean : 1794
## 3rd Qu.: 1654 3rd Qu.: 1985
## Max. :24300 Max. :12730
## NA's :7
## Rainfall House_Price
## Min. :-110.0 Min. : 1492000
## 1st Qu.: 600.0 1st Qu.: 4623000
## Median : 780.0 Median : 5860000
## Mean : 786.9 Mean : 6083992
## 3rd Qu.: 970.0 3rd Qu.: 7200000
## Max. :1560.0 Max. :150000000
## #OBSERVACIONES
#1.El precio de la casa está con datos atípicos.
#2.Rainfall tiene valores negativos.
#3.Carpet tiene 7 NaGenerar la regresión lineal
library(dplyr)
count(HousePriceData,Parking,sort=TRUE)## # A tibble: 4 × 2
## Parking n
## <chr> <int>
## 1 Open 355
## 2 Not Provided 225
## 3 Covered 184
## 4 No Parking 141count(HousePriceData,City_Category,sort=TRUE)## # A tibble: 3 × 2
## City_Category n
## <chr> <int>
## 1 CAT B 351
## 2 CAT A 320
## 3 CAT C 234Limpiar la base de datos
#¿Cuántos NA tengo en la base de datos?
sum(is.na(HousePriceData))## [1] 7#¿Cuántos NA tengo por varibale?
sapply(HousePriceData,function(x)sum(is.na(x)))## Observation Dist_Taxi Dist_Market Dist_Hospital Carpet
## 0 0 0 0 7
## Builtup Parking City_Category Rainfall House_Price
## 0 0 0 0 0#Eliminar NA
HousePriceData <-na.omit(HousePriceData)#Eliminar registro del precio atípico
HousePriceData <- HousePriceData[HousePriceData$House_Price<12000000, ]
#Eliminar registro de rainfall Negativo
HousePriceData<- HousePriceData[HousePriceData$Rainfall>=0, ]#Gráficas
boxplot(HousePriceData$House_Price,horizontal=TRUE)
Regresión Lineal
RegresionHousePriceData <- lm(House_Price ~ Dist_Taxi+ Dist_Market+ Dist_Hospital+ Carpet+ Builtup+ Parking+ City_Category+ Rainfall, data = HousePriceData)
summary(RegresionHousePriceData)##
## Call:
## lm(formula = House_Price ~ Dist_Taxi + Dist_Market + Dist_Hospital +
## Carpet + Builtup + Parking + City_Category + Rainfall, data = HousePriceData)
##
## Residuals:
## Min 1Q Median 3Q Max
## -3572009 -800792 -65720 761534 4401585
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 5.599e+06 3.672e+05 15.246 < 2e-16 ***
## Dist_Taxi 3.009e+01 2.682e+01 1.122 0.2622
## Dist_Market 1.285e+01 2.081e+01 0.618 0.5370
## Dist_Hospital 4.864e+01 3.008e+01 1.617 0.1062
## Carpet -7.997e+02 3.476e+03 -0.230 0.8181
## Builtup 1.339e+03 2.901e+03 0.462 0.6444
## ParkingNo Parking -6.040e+05 1.389e+05 -4.348 1.53e-05 ***
## ParkingNot Provided -4.924e+05 1.235e+05 -3.988 7.22e-05 ***
## ParkingOpen -2.632e+05 1.126e+05 -2.338 0.0196 *
## City_CategoryCAT B -1.877e+06 9.598e+04 -19.554 < 2e-16 ***
## City_CategoryCAT C -2.890e+06 1.059e+05 -27.300 < 2e-16 ***
## Rainfall -1.175e+02 1.550e+02 -0.758 0.4484
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 1222000 on 884 degrees of freedom
## Multiple R-squared: 0.5007, Adjusted R-squared: 0.4945
## F-statistic: 80.58 on 11 and 884 DF, p-value: < 2.2e-16Construir un modelo predictivo
datos <- data.frame(Dist_Taxi= 8278, Dist_Market= 16251, Dist_Hospital=13857, Carpet=1455, Builtup= 1764, Parking="Covered", City_Category="CAT A", Rainfall= 390)
predict(RegresionHousePriceData, datos)## 1
## 7883860summary(HousePriceData$Dist_Hospital)## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 3227 11302 13190 13086 14862 22407summary(HousePriceData$Carpet)## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 775 1317 1477 1485 1654 2229summary(HousePriceData$Builtup)## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 932 1576 1774 1782 1983 2667summary(HousePriceData$Parking)## Length Class Mode
## 896 character charactersummary(HousePriceData$City_Category)## Length Class Mode
## 896 character charactersummary(HousePriceData$Rainfall)## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 0.0 600.0 780.0 786.3 970.0 1560.0