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Homework Unit 3: KNN

February 8, 2024

Introduction

This file serves as the answer key for the KNN portion of the Unit_03 homework. Unit 3 Exploratory Introduction to Regression Models in the course web book contains all materials required for this assignment.

In this assignment, we demonstrate how to fit multiple configurations of LM and KNN regression models using data from the ames housing data set. By evaluating these various configurations in our validation set, we select the top performing model in our validation set out of all LM and KNN models we fit. We use this best model to generate predictions for our held out test set, which we only use ONCE for evaluation of our final best model.

Handle conflicts

Load required packages, source function scripts (john’s or your own), specify other global settings.

Load the cleaned training, validation, and test data files

Use here::here() and relative path for your data. Make sure your iaml project is open

Set appropriate variable classes:

• Nominal and ordinal variables are set to factors
• interval and ration variables are set to numeric

Remember ordinal variables should have the factor levels explicitly stated to retain the order (you will see why when we get to recipe 3!)

Also note you will get a warning stating there is an unknown level in the factor - this is because there are no basement rated as having “po” quality in data_trn or data_val and there is no garage rated as “po” in data_val. Since we investigated this warning we are suppressing warning messages using suppressWarnings() to prevent the warning from coming up again.

Additionally, from EDA we know two variables have a lot of factor levels and some with very few observations.

Even though these are not ordinal variables we are still going to set these levels explicitly (based on data dictionary) so we don’t need to use step_novel() later when new factor levels show up in validation or test sets.

Create tracking tibble

Create a tibble to track the validation errors across various model configurations.

First we will try a fully numeric model, selecting down to just the top correlated predictors we found in modeling EDA. Remember you always need to range correct numeric predictors when you have more than one numeric predictor in a KNN model. This model includes the following homework requirements:

• 2+ numeric predictors

Set up recipe

Training feature matrix.

prep recipe

bake recipe to get feature set

Validation feature matrix

Use the bake() to generate the feature matrix of the validation data that we will use to assess your model.

Assess model

Use rmse_vec() to calculate the validation error (RMSE) of the model.

Lets also try with k = 10:

Assess validation error

Visualize performance

Visualize the relationship between raw and predicted sale price in your validation set using the plot_truth() function.

Next, we build on this model by adding in categorical variables that looked like they may have promising relationships with sale_price during modeling EDA. We collapse the neighborhood variable down to categories based on the relationship with sale_price to reduce the number of levels in a way that is unifying. Note that we only have 27/28 neighborhoods in our training data so we will have to impute this new variable in case a new level shows up! We use step_impute_mode() . We do not need to range correct the dummy coded variables, but we do need to range correct the quality factors that we converted to numeric variables with step_mutate_at() . This model includes the following homework requirements:

• Categorical > 2 levels

2.1 Set up recipe

Fit your models, assess your models.

In this KNN, we will add in more numeric and categorical variables to see what an increase in predictors does. Some categorical variables, like neighborhood and ms_sub_class , we manually collapse based on frequencies observed during EDA. Others are handled more simply by using step_other() to automatically bin low frequency categories into their own other label. This model includes the following homework requirements:

• Categorical > 2 levels ’
• Modified categorical

bake recipe

Additional configurations

In this next configuration, we add more complexity to the model. We manually created a few variables by combining other related variables (e.g. combining all variables that measure the size of different parts of the house into one size variable, resulting in a predictor that is highly correlated with sale_price ). We also allow knn to consider all possible interactions of numeric variables (since it can handle high complexity). Because we add many terms, we also add step_nzv() to the end of the recipe here to remove any variables that are highly sparse/ unbalanced (i.e., that will not be that useful for prediction). This ended up improving things quite a bit!

This model includes the following homework requirements:

Create recipe

Assess models.

Lets now check what our best configuration for knn

Predictions

Since the knn is the best model configuration that we’ve fit, we will use this model to generate predictions for the held out test set. Remember, we only make predictions in the test set once (important!).

One new step: when you are preparing to make predictions in your held out test set, your recipe should be prepped using the combination of your training and validation data in order to get the best estimates possible for the held out data. For the competition, we didn’t ask you to do this but we will show you what it looks like here.

Our best model is a KNN (i.e., from this/ the KNN script) so we worked out this process of re-fitting with train and validation below . If your best model is a GLM this would be applicable to that script in the assignment, and you could skip to Save & Knit at the end of this document.

Assign best model

Since our best model was a KNN model we change NA to our best KNN model ( fit_knn_4_5nn ). We also put one our names between the quotation marks.

Generate test predictions

Save out the best model’s predictions of raw sale_price in the held-out test set.

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Gina Wilson Unit 3 Home Work Answer Keys

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