Regresión Lineal

Importar la base de datos.

library(tidyverse)

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## ✔ lubridate 1.9.2     ✔ tidyr     1.3.0
## ✔ purrr     1.0.2     
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## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors

df <- read.csv("/Users/danielnajera/Downloads/Walmart_Store_sales.csv")
#View(df)
summary(df)

##      Store        Date            Weekly_Sales      Holiday_Flag    
##  Min.   : 1   Length:6435        Min.   : 209986   Min.   :0.00000  
##  1st Qu.:12   Class :character   1st Qu.: 553350   1st Qu.:0.00000  
##  Median :23   Mode  :character   Median : 960746   Median :0.00000  
##  Mean   :23                      Mean   :1046965   Mean   :0.06993  
##  3rd Qu.:34                      3rd Qu.:1420159   3rd Qu.:0.00000  
##  Max.   :45                      Max.   :3818686   Max.   :1.00000  
##   Temperature       Fuel_Price         CPI         Unemployment   
##  Min.   : -2.06   Min.   :2.472   Min.   :126.1   Min.   : 3.879  
##  1st Qu.: 47.46   1st Qu.:2.933   1st Qu.:131.7   1st Qu.: 6.891  
##  Median : 62.67   Median :3.445   Median :182.6   Median : 7.874  
##  Mean   : 60.66   Mean   :3.359   Mean   :171.6   Mean   : 7.999  
##  3rd Qu.: 74.94   3rd Qu.:3.735   3rd Qu.:212.7   3rd Qu.: 8.622  
##  Max.   :100.14   Max.   :4.468   Max.   :227.2   Max.   :14.313

#file.choose()

Entender la base de datos.

summary(df)

##      Store        Date            Weekly_Sales      Holiday_Flag    
##  Min.   : 1   Length:6435        Min.   : 209986   Min.   :0.00000  
##  1st Qu.:12   Class :character   1st Qu.: 553350   1st Qu.:0.00000  
##  Median :23   Mode  :character   Median : 960746   Median :0.00000  
##  Mean   :23                      Mean   :1046965   Mean   :0.06993  
##  3rd Qu.:34                      3rd Qu.:1420159   3rd Qu.:0.00000  
##  Max.   :45                      Max.   :3818686   Max.   :1.00000  
##   Temperature       Fuel_Price         CPI         Unemployment   
##  Min.   : -2.06   Min.   :2.472   Min.   :126.1   Min.   : 3.879  
##  1st Qu.: 47.46   1st Qu.:2.933   1st Qu.:131.7   1st Qu.: 6.891  
##  Median : 62.67   Median :3.445   Median :182.6   Median : 7.874  
##  Mean   : 60.66   Mean   :3.359   Mean   :171.6   Mean   : 7.999  
##  3rd Qu.: 74.94   3rd Qu.:3.735   3rd Qu.:212.7   3rd Qu.: 8.622  
##  Max.   :100.14   Max.   :4.468   Max.   :227.2   Max.   :14.313

#str(df)

df$Date <- as.Date(df$Date, format="%d-%m-%Y")

Agregar variables a la base de datos.

df$Year <-format(df$Date, "%Y")
df$Year <- as.integer(df$Year)
df$Month <-format(df$Date, "%m")
df$Month <- as.integer(df$Month)
df$WeekYear <-format(df$Date, "%W") #Iniciando en Lunes
df$WeekYear <- as.integer(df$WeekYear)
#df$WeekDay <-format(df$Date, "u") #Iniciando en Lunes
#df$WeekDay <- as.integer(df$WeekDay)
df$Day <-format(df$Date, "%d")
df$Day <- as.integer(df$Day)

regresion <- lm(Weekly_Sales ~., data=df)
summary(regresion)

## 
## Call:
## lm(formula = Weekly_Sales ~ ., data = df)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -1094800  -382464   -42860   375406  2587123 
## 
## Coefficients: (1 not defined because of singularities)
##                Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  -2.384e+09  9.127e+09  -0.261   0.7940    
## Store        -1.538e+04  5.202e+02 -29.576  < 2e-16 ***
## Date         -3.399e+03  1.266e+04  -0.268   0.7883    
## Holiday_Flag  4.773e+04  2.706e+04   1.763   0.0779 .  
## Temperature  -1.817e+03  4.053e+02  -4.484 7.47e-06 ***
## Fuel_Price    6.124e+04  2.876e+04   2.130   0.0332 *  
## CPI          -2.109e+03  1.928e+02 -10.941  < 2e-16 ***
## Unemployment -2.209e+04  3.967e+03  -5.569 2.67e-08 ***
## Year          1.212e+06  4.633e+06   0.262   0.7937    
## Month         1.177e+05  3.858e+05   0.305   0.7604    
## WeekYear             NA         NA      NA       NA    
## Day           2.171e+03  1.269e+04   0.171   0.8642    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 520900 on 6424 degrees of freedom
## Multiple R-squared:  0.1495, Adjusted R-squared:  0.1482 
## F-statistic:   113 on 10 and 6424 DF,  p-value: < 2.2e-16

df_ajustada <- df%>% select(-Store, -Date, -Fuel_Price, -Year:-Day)
regresion_ajustada <- lm(Weekly_Sales ~., data=df_ajustada)
summary(regresion_ajustada)

## 
## Call:
## lm(formula = Weekly_Sales ~ ., data = df_ajustada)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -1020421  -477999  -115859   396128  2800875 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  1687798.2    52515.7  32.139  < 2e-16 ***
## Holiday_Flag   75760.1    27605.3   2.744  0.00608 ** 
## Temperature     -773.1      393.2  -1.966  0.04930 *  
## CPI            -1570.0      189.9  -8.267  < 2e-16 ***
## Unemployment  -41235.7     3942.0 -10.460  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 557300 on 6430 degrees of freedom
## Multiple R-squared:  0.02538,    Adjusted R-squared:  0.02477 
## F-statistic: 41.86 on 4 and 6430 DF,  p-value: < 2.2e-16