Linearizzare funzioni non lineari

Il microbirrificio ha in programma di espandere il business e offrire Hoppiness a livello nazionale. Di conseguenza, il responsabile dovrà prendere decisioni di prezzo per più di un negozio.

I negozi possono differire non solo per posizione, ma anche per attività e per volume di vendite. Una soluzione è spiegare l’effetto delle variazioni di PRICE rispetto alle variazioni di SALES. Questo si ottiene applicando il log() a SALES. La relazione corrispondente log(SALES) ~ PRICE viene stimata nuovamente con la funzione lm() e il risultante modello di risposta delle vendite non lineare viene analizzato attraverso i suoi coefficienti.

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Creare modelli di risposta in R

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Istruzioni dell'esercizio

Spiega log(SALES) con PRICE. Usa la funzione lm() e assegna il risultato a un oggetto chiamato log.model.
Ottieni i coefficienti del modello dall’oggetto log.model usando la funzione coef().

Esercizio pratico interattivo

Prova a risolvere questo esercizio completando il codice di esempio.

# Explain log(SALES) by PRICE
log.model <- ___(___, data = sales.data)

# Obtain the model coefficients

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Questo esercizio fa parte del corso

Creare modelli di risposta in R

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The first chapter introduces you to the basic principles and concepts of market response models. Here, you will learn how to build simple response models for product sales. In addition, you will learn about the theoretical and practical differences between linear and non-linear models for sales responses.

Exercise 1: Fondamenti dei modelli di risposta del mercato Exercise 2: Vendite retail Exercise 3: Capire le vendite Exercise 4: Modelli di risposta lineari Exercise 5: Un modello di risposta lineare per le vendite Exercise 6: Fare previsioni Exercise 7: Prestazioni predittive Exercise 8: Modelli di risposta non lineari Exercise 9: Linearizzare funzioni non lineari

Esercizio in corso

Exercise 10: Qual è il valore aggiunto?

An effective marketing strategy combines all the tools available to communicate the benefits of a product. The key is crafting the right mix of these tools to achieve sales increases and market share goals. In the second chapter, you will learn how to incorporate the effects of advertising and promotion in your sales-response model and how to identify the marketing strategy that is most likely to succeed.

Exercise 1: Model extension part 1: Dummy variables Exercise 2: Understanding dummy variables Exercise 3: The effect of display on sales Exercise 4: The effect of multiple dummies on sales Exercise 5: What about price?Exercise 6: Model extensions part 2: Dynamic variables Exercise 7: How to lag?Exercise 8: Adding lagged price effects Exercise 9: More lags Exercise 10: What's the value added?Exercise 11: How many extensions are needed?Exercise 12: Summarizing the model Exercise 13: Unnecessary predictors Exercise 14: Dropping predictors Exercise 15: Eliminating predictors

A company can only be successful in the market if its products have a competitive advantage over those of its rivals. To develop an effective marketing strategy in a competitive environment, it is essential to understand the interrelationship between marketing activity and customer behavior. In this chapter, you will learn how to explain the effects of temporary price changes on customer brand choice by employing logistic and probit response models.

Exercise 1: Models for individual demand Exercise 2: Customer purchases Exercise 3: Summarizing the data Exercise 4: Competition Exercise 5: A linear probability model for beer demand Exercise 6: Logistic response models Exercise 7: A logistic model for beer demand Exercise 8: Bounded predictions Exercise 9: Average marginal effects Exercise 10: Effect plots Exercise 11: Probit response models Exercise 12: A probit model for beer demand Exercise 13: Logistic vs. probit Exercise 14: Model comparison

The main goal of response modeling is to enable marketers to not only see a payoff for their actions today, but also tomorrow. In order to view this future payoff, a simple but reliable statistical model is required. In this last chapter, you will learn how to evaluate the predictive performance of logistic response models.

Exercise 1: Model selection Exercise 2: Extending the logistic response model Exercise 3: Summarizing the model Exercise 4: The deviance principle Exercise 5: Eliminating predictors Exercise 6: Predictive performance Exercise 7: Classifications Exercise 8: Model confusion Exercise 9: ROC curves Exercise 10: Model validation Exercise 11: Subsetting Exercise 12: Model training Exercise 13: Out-of-sample testing Exercise 14: Wrapping it up