Adattare una regressione

house_prices, disponibile nel tuo ambiente, include le variabili trasformate in log base 10 e ha rimosso il valore anomalo della casa con 33 camere da letto. Adattiamo un modello di regressione multipla del prezzo in funzione della dimensione e del numero di camere da letto e generiamo la tabella di regressione. In questo esercizio, prima adatterai il modello e, in base alla tabella di regressione, nella seconda parte risponderai alla seguente domanda:

Quale di queste interpretazioni del coefficiente angolare per le camere da letto è corretta?

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# Fit model
model_price_2 <- lm(___, 
                    data = house_prices)

# Get regression table
___

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This chapter will introduce you to some background theory and terminology for modeling, in particular, the general modeling framework, the difference between modeling for explanation and modeling for prediction, and the modeling problem. Furthermore, you'll start performing your first exploratory data analysis, a crucial first step before any formal modeling.

Exercise 1: Background on modeling for explanation Exercise 2: Exploratory visualization of age Exercise 3: Numerical summaries of age Exercise 4: Background on modeling for prediction Exercise 5: Exploratory visualization of house size Exercise 6: Log10 transformation of house size Exercise 7: The modeling problem for explanation Exercise 8: EDA of relationship of teaching & "beauty" scores Exercise 9: Correlation between teaching and "beauty" scores Exercise 10: The modeling problem for prediction Exercise 11: EDA of relationship of house price and waterfront Exercise 12: Predicting house price with waterfront

Equipped with your understanding of the general modeling framework, in this chapter, we'll cover basic linear regression where you'll keep things simple and model the outcome variable y as a function of a single explanatory/ predictor variable x. We'll use both numerical and categorical x variables. The outcome variable of interest in this chapter will be teaching evaluation scores of instructors at the University of Texas, Austin.

Exercise 1: Explaining teaching score with age Exercise 2: Plotting a "best-fitting" regression line Exercise 3: Fitting a regression with a numerical x Exercise 4: Predicting teaching score using age Exercise 5: Making predictions using "beauty score"Exercise 6: Computing fitted/predicted values & residuals Exercise 7: Explaining teaching score with gender Exercise 8: EDA of relationship of score and rank Exercise 9: Fitting a regression with a categorical x Exercise 10: Predicting teaching score using gender Exercise 11: Making predictions using rank Exercise 12: Visualizing the distribution of residuals

In the previous chapter, you learned about basic regression using either a single numerical or a categorical predictor. But why limit ourselves to using only one variable to inform your explanations/predictions? You will now extend basic regression to multiple regression, which allows for incorporation of more than one explanatory or one predictor variable in your models. You'll be modeling house prices using a dataset of houses in the Seattle, WA metropolitan area.

Exercise 1: Spiegare il prezzo delle case con anno e dimensioni Exercise 2: EDA della relazione Exercise 3: Adattare una regressione

Esercizio in corso

Exercise 4: Prevedere il prezzo della casa usando anno e dimensione Exercise 5: Fare previsioni usando dimensione e camere da letto Exercise 6: Interpretare i residui Exercise 7: Spiegare il prezzo di una casa con dimensioni e stato Exercise 8: Modello a pendenze parallele Exercise 9: Interpretare il modello a pendenze parallele Exercise 10: Prevedere il prezzo di una casa usando dimensione e condizione Exercise 11: Fare previsioni usando dimensione e waterfront Exercise 12: Automatizzare le previsioni per case "nuove"

In the previous chapters, you fit various models to explain or predict an outcome variable of interest. However, how do we know which models to choose? Model assessment measures allow you to assess how well an explanatory model "fits" a set of data or how accurate a predictive model is. Based on these measures, you'll learn about criteria for determining which models are "best".

Exercise 1: Model selection and assessment Exercise 2: Refresher: sum of squared residuals Exercise 3: Which model to select?Exercise 4: Assessing model fit with R-squared Exercise 5: Computing the R-squared of a model Exercise 6: Comparing the R-squared of two models Exercise 7: Assessing predictions with RMSE Exercise 8: Computing the MSE & RMSE of a model Exercise 9: Comparing the RMSE of two models Exercise 10: Validation set prediction framework Exercise 11: Fitting model to training data Exercise 12: Predicting on test data Exercise 13: Conclusion - Where to go from here?