#Prerequisites
library(tidymodels) # for modeling activities
## ── Attaching packages ────────────────────────────────────── tidymodels 1.2.0 ──
## ✔ broom        1.0.6     ✔ recipes      1.1.0
## ✔ dials        1.3.0     ✔ rsample      1.2.1
## ✔ dplyr        1.1.4     ✔ tibble       3.2.1
## ✔ ggplot2      3.5.1     ✔ tidyr        1.3.1
## ✔ infer        1.0.7     ✔ tune         1.2.1
## ✔ modeldata    1.4.0     ✔ workflows    1.1.4
## ✔ parsnip      1.2.1     ✔ workflowsets 1.1.0
## ✔ purrr        1.0.2     ✔ yardstick    1.3.1
## ── Conflicts ───────────────────────────────────────── tidymodels_conflicts() ──
## ✖ purrr::discard() masks scales::discard()
## ✖ dplyr::filter()  masks stats::filter()
## ✖ dplyr::lag()     masks stats::lag()
## ✖ recipes::step()  masks stats::step()
## • Search for functions across packages at https://www.tidymodels.org/find/
library(tidyverse) # for data wrangling activities
## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ forcats   1.0.0     ✔ readr     2.1.5
## ✔ lubridate 1.9.3     ✔ stringr   1.5.1
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ readr::col_factor() masks scales::col_factor()
## ✖ purrr::discard()    masks scales::discard()
## ✖ dplyr::filter()     masks stats::filter()
## ✖ stringr::fixed()    masks recipes::fixed()
## ✖ dplyr::lag()        masks stats::lag()
## ✖ readr::spec()       masks yardstick::spec()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
library(here)
## here() starts at C:/Users/Kirby/OneDrive/Data Mining 2
library(vip)
## 
## Attaching package: 'vip'
## 
## The following object is masked from 'package:utils':
## 
##     vi
boston <- readr::read_csv("boston.csv")
## Rows: 506 Columns: 16
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## dbl (16): lon, lat, cmedv, crim, zn, indus, chas, nox, rm, age, dis, rad, ta...
## 
## 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.
set.seed(123)
split <- initial_split(data = boston, prop = 0.7, strata = cmedv)
train <- training(split)
test <- testing(split)

correlation <- cor(
  train$cmedv, select(train, -cmedv)
  )  
correlation[,order(correlation, decreasing = TRUE)]
##           rm            b           zn          dis         chas          lat 
##  0.708152619  0.358302318  0.344272023  0.271455846  0.164575979 -0.002024587 
##          lon         crim          rad          age          nox          tax 
## -0.315456520 -0.384298342 -0.396999035 -0.398915864 -0.439021014 -0.479383777 
##        indus      ptratio        lstat 
## -0.489537963 -0.500927283 -0.742823016
train %>%
  ggplot(aes(rm, cmedv)) +
    geom_point() +
    geom_smooth(method = 'lm', se = FALSE)
## `geom_smooth()` using formula = 'y ~ x'

firstmodel<- linear_reg() %>%
  fit(cmedv ~ rm, data = train)
tidy(firstmodel)
## # A tibble: 2 × 5
##   term        estimate std.error statistic  p.value
##   <chr>          <dbl>     <dbl>     <dbl>    <dbl>
## 1 (Intercept)   -35.4      3.11      -11.4 8.70e-26
## 2 rm              9.22     0.491      18.8 7.46e-55
firstmodel %>%
  predict(test) %>%
  bind_cols(test) %>%
  rmse(truth = cmedv, estimate = .pred)
## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 rmse    standard        6.83
secondmodel <- linear_reg() %>%
  fit(cmedv ~ ., data = train)

tidy(secondmodel) %>%
  arrange(desc(p.value))
## # A tibble: 16 × 5
##    term          estimate std.error statistic  p.value
##    <chr>            <dbl>     <dbl>     <dbl>    <dbl>
##  1 indus         -0.0143    0.0738     -0.193 8.47e- 1
##  2 age           -0.00921   0.0156     -0.591 5.55e- 1
##  3 lat            5.54      4.24        1.31  1.93e- 1
##  4 lon           -5.65      3.86       -1.46  1.45e- 1
##  5 (Intercept) -608.      342.         -1.78  7.64e- 2
##  6 zn             0.0332    0.0165      2.01  4.56e- 2
##  7 crim          -0.0830    0.0396     -2.10  3.65e- 2
##  8 chas           2.28      1.05        2.17  3.06e- 2
##  9 nox          -11.7       4.74       -2.46  1.44e- 2
## 10 tax           -0.0121    0.00436    -2.78  5.78e- 3
## 11 rad            0.272     0.0790      3.44  6.47e- 4
## 12 b              0.0123    0.00310     3.97  8.72e- 5
## 13 dis           -1.26      0.244      -5.17  4.06e- 7
## 14 ptratio       -0.874     0.163      -5.37  1.48e- 7
## 15 lstat         -0.479     0.0637     -7.51  5.24e-13
## 16 rm             4.37      0.516       8.46  8.13e-16
secondmodel %>%
  predict(test) %>%
  bind_cols(test) %>%
  rmse(truth = cmedv, estimate = .pred)
## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 rmse    standard        4.83
secondmodel %>%
   vip::vip(num_features = 16)