df <- read.csv("~/DAATA/PRACTICAS/TEMA1/Sample - Superstore.csv")
head(df)
##   Row.ID       Order.ID Order.Date  Ship.Date      Ship.Mode Customer.ID
## 1      1 CA-2016-152156  11/8/2016 11/11/2016   Second Class    CG-12520
## 2      2 CA-2016-152156  11/8/2016 11/11/2016   Second Class    CG-12520
## 3      3 CA-2016-138688  6/12/2016  6/16/2016   Second Class    DV-13045
## 4      4 US-2015-108966 10/11/2015 10/18/2015 Standard Class    SO-20335
## 5      5 US-2015-108966 10/11/2015 10/18/2015 Standard Class    SO-20335
## 6      6 CA-2014-115812   6/9/2014  6/14/2014 Standard Class    BH-11710
##     Customer.Name   Segment       Country            City      State
## 1     Claire Gute  Consumer United States       Henderson   Kentucky
## 2     Claire Gute  Consumer United States       Henderson   Kentucky
## 3 Darrin Van Huff Corporate United States     Los Angeles California
## 4  Sean O'Donnell  Consumer United States Fort Lauderdale    Florida
## 5  Sean O'Donnell  Consumer United States Fort Lauderdale    Florida
## 6 Brosina Hoffman  Consumer United States     Los Angeles California
##   Postal.Code Region      Product.ID        Category Sub.Category
## 1       42420  South FUR-BO-10001798       Furniture    Bookcases
## 2       42420  South FUR-CH-10000454       Furniture       Chairs
## 3       90036   West OFF-LA-10000240 Office Supplies       Labels
## 4       33311  South FUR-TA-10000577       Furniture       Tables
## 5       33311  South OFF-ST-10000760 Office Supplies      Storage
## 6       90032   West FUR-FU-10001487       Furniture  Furnishings
##                                                       Product.Name    Sales
## 1                                Bush Somerset Collection Bookcase 261.9600
## 2      Hon Deluxe Fabric Upholstered Stacking Chairs, Rounded Back 731.9400
## 3        Self-Adhesive Address Labels for Typewriters by Universal  14.6200
## 4                    Bretford CR4500 Series Slim Rectangular Table 957.5775
## 5                                   Eldon Fold 'N Roll Cart System  22.3680
## 6 Eldon Expressions Wood and Plastic Desk Accessories, Cherry Wood  48.8600
##   Quantity Discount    Profit
## 1        2     0.00   41.9136
## 2        3     0.00  219.5820
## 3        2     0.00    6.8714
## 4        5     0.45 -383.0310
## 5        2     0.20    2.5164
## 6        7     0.00   14.1694
# Nota: la prediccion que vamos a hacer considera valores corrientes
df_mod <- df %>% # Llama la base de datos
  filter(State == "Kentucky") %>% #Este el es paso nuevo
  select(Order.Date, Sales) %>% # Cambia formato a fecha
  mutate(Order.Date = mdy(Order.Date)) %>%
  mutate(Fecha = floor_date(Order.Date, unit = "month")) %>% # Asigna las fechas a primero de mes
  group_by(Fecha) %>%
  summarise(Ventas = sum(Sales)) %>%
  mutate(Mes = seq_along(Fecha)) # Crear variable x para facilitar la regresion
head(df_mod)
## # A tibble: 6 × 3
##   Fecha      Ventas   Mes
##   <date>      <dbl> <int>
## 1 2014-01-01 4375.      1
## 2 2014-03-01  783.      2
## 3 2014-04-01 1945.      3
## 4 2014-05-01  199.      4
## 5 2014-08-01   25.5     5
## 6 2014-11-01  941.      6

4 Visualizacion del objetivo

df_mod %>%
  ggplot(., aes(x=Mes, y=Ventas)) +
  geom_point() +
  geom_line() +
  geom_smooth(method = "lm", formula = "y ~ x")

5 graficas de caja y bigotes

# Esta grafica me sirve para detectar valores atipicos 
df_mod %>%
  ggplot(., aes(x=Ventas)) +
  geom_boxplot()

# 6 Analisis de normalidad

# Revisar que la variable y tenga una distribucion mas o menos normal
df_mod %>%
  ggplot(., aes(x = Ventas)) +
  geom_histogram(bins = 30, aes(y=..density..)) +
  geom_density()
## Warning: The dot-dot notation (`..density..`) was deprecated in ggplot2 3.4.0.
## ℹ Please use `after_stat(density)` instead.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.

7 Analisis de correlacion

# Calculamos el coeficiente de correlacion de Pearson
with(df_mod, cor.test(Mes, Ventas))
## 
##  Pearson's product-moment correlation
## 
## data:  Mes and Ventas
## t = 1.1681, df = 27, p-value = 0.253
## alternative hypothesis: true correlation is not equal to 0
## 95 percent confidence interval:
##  -0.1600369  0.5422495
## sample estimates:
##       cor 
## 0.2193337
# La correlacion va de -1 a 1
# Valores extremos indican correlacion mas fuerte
# Puede ser positiva (Suben o bajan juantas) o
#negativa (si una suba la otra baja y viceversa)

8 Modelo de regresion

modelo_lineal <- lm(Ventas ~ Mes, data = df_mod)
stargazer(modelo_lineal, type= "text")
## 
## ===============================================
##                         Dependent variable:    
##                     ---------------------------
##                               Ventas           
## -----------------------------------------------
## Mes                           39.553           
##                              (33.860)          
##                                                
## Constant                      668.487          
##                              (581.566)         
##                                                
## -----------------------------------------------
## Observations                    29             
## R2                             0.048           
## Adjusted R2                    0.013           
## Residual Std. Error     1,525.585 (df = 27)    
## F Statistic             1.365 (df = 1; 27)     
## ===============================================
## Note:               *p<0.1; **p<0.05; ***p<0.01
# El modelo que buscamos estimar es: y = a + bx
# En este caso
# Constante
# Obtener los coeficientes del modelo, es decir a y b
coeficientes <- coef(modelo_lineal)
intercepto <- coeficientes ["(Intercept)"]
pendiente <- coeficientes["Mes"]

# Crear el texto de la ecuacion
ecuacion <- paste("y = ",
                  round(intercepto, 2),
                  " + ",
                  round(pendiente, 2),
                  "x")
ecuacion
## [1] "y =  668.49  +  39.55 x"

10 Generacion de predicciones

# Vamos extender la serie temporal 6 meses
data.frame(Fecha = seq.Date(from = max(df_mod$Fecha) + months(1),
                            by = "month",
                            length.out = 6))
##        Fecha
## 1 2018-01-01
## 2 2018-02-01
## 3 2018-03-01
## 4 2018-04-01
## 5 2018-05-01
## 6 2018-06-01