Distribusi prediktif

Bagus, Anda sudah menganalisis hasil pengambilan parameter! Sekarang mari gunakan model regresi linear untuk membuat prediksi. Berapa banyak klik yang dapat kita perkirakan jika kita menayangkan 10 iklan pakaian dan 10 iklan sepatu? Untuk mengetahuinya, Anda perlu melakukan pengambilan dari distribusi prediktif: distribusi normal dengan mean yang ditentukan oleh rumus regresi linear dan simpangan baku yang diestimasi oleh model.

Pertama, Anda akan merangkum posterior setiap parameter dengan nilai rataratanya. Lalu, Anda akan menghitung mean distribusi prediktif sesuai dengan persamaan regresi. Berikutnya, Anda akan mengambil sampel dari distribusi prediktif dan akhirnya, Anda akan memplot kerapatannya. Berikut adalah rumus regresinya untuk memudahkan Anda:

The number of clicks has a normal distribution with the mean β0 + β1 * clothes-ads-shown + β2 * sneakers-ads-shown, and some standard deviation sigma.

pymc3, numpy, dan seaborn telah diimpor dengan alias biasanya.

Latihan ini adalah bagian dari kursus

Analisis Data Bayesian dengan Python

Latihan interaktif praktis

Cobalah latihan ini dengan menyelesaikan kode contoh berikut.

# Aggregate posteriors of the parameters to point estimates
intercept_coef = ____
sneakers_coef = ____
clothes_coef = ____
sd_coef = ____

Edit dan Jalankan Kode

Latihan ini adalah bagian dari kursus

Analisis Data Bayesian dengan Python

SkillTag.level.intermediateSkillTag.label

4.8+

Mulai Kursus Gratis

Take your first steps in the Bayesian world. In this chapter, you’ll be introduced to the basic concepts of probability and statistical distributions, as well as to the famous Bayes' Theorem, the cornerstone of Bayesian methods. Finally, you’ll build your first Bayesian model to draw conclusions from randomized coin tosses.

Exercise 1: Who is Bayes? What is Bayes?Exercise 2: Bayesians vs. Frequentists Exercise 3: Probability distributions Exercise 4: Probability and Bayes' Theorem Exercise 5: Let's play cards Exercise 6: Bayesian spam filter Exercise 7: What does the test say?Exercise 8: Tasting the Bayes Exercise 9: Tossing a coin Exercise 10: The more you toss, the more you learn Exercise 11: Hey, is this coin fair?

It’s time to look under the Bayesian hood. You’ll learn how to apply Bayes' Theorem to drug-effectiveness data to estimate the parameters of probability distributions using the grid approximation technique, and update these estimates as new data become available. Next, you’ll learn how to incorporate prior knowledge into the model before finally practicing the important skill of reporting results to a non-technical audience.

Exercise 1: Under the Bayesian hood Exercise 2: Towards grid approximation Exercise 3: Grid approximation without prior knowledge Exercise 4: Updating posterior belief Exercise 5: Prior belief Exercise 6: The truth of the prior Exercise 7: Picking the right prior Exercise 8: Simulating posterior draws Exercise 9: Reporting Bayesian results Exercise 10: Point estimates Exercise 11: Highest Posterior Density credible intervals Exercise 12: The meaning of credibility

Apply your newly acquired Bayesian data analysis skills to solve real-world business challenges. You’ll work with online sales marketing data to conduct A/B tests, decision analysis, and forecasting with linear regression models.

Exercise 1: Pengujian A/B Exercise 2: Simulasikan posterior beta Exercise 3: Laju klik posterior Exercise 4: A atau B, dan seberapa yakinkah kita?Exercise 5: Seberapa buruk kemungkinan terburuknya?Exercise 6: Analisis keputusan Exercise 7: Analisis keputusan: biaya Exercise 8: Analisis keputusan: laba Exercise 9: Regresi dan peramalan Exercise 10: Mendefinisikan model regresi Bayesian Exercise 11: Menganalisis parameter regresi Exercise 12: Distribusi prediktif

Latihan Saat Ini

In this final chapter, you’ll take advantage of the powerful PyMC3 package to easily fit Bayesian regression models, conduct sanity checks on a model's convergence, select between competing models, and generate predictions for new data. To wrap up, you’ll apply what you’ve learned to find the optimal price for avocados in a Bayesian data analysis case study. Good luck!

Exercise 1: Markov Chain Monte Carlo and model fitting Exercise 2: Markov Chain Monte Carlo Exercise 3: Sampling posterior draws Exercise 4: Interpreting results and comparing models Exercise 5: Inspecting posterior draws Exercise 6: Comparing models with WAIC Exercise 7: Making predictions Exercise 8: Sample from predictive density Exercise 9: Estimating test error Exercise 10: How much is an avocado?Exercise 11: Fitting the model Exercise 12: Inspecting the model Exercise 13: Optimizing the price Exercise 14: Final remarks