Statistics & Mathematics for Data Science & Data Analytics
Welcome
What will you learn in this course
Formula cheat sheet
Descriptive Statistics intro
Mean
Quiz:Mean
Median
Quiz: Median
Mode
Quiz: Mode
Mean vs Median
Skeweness
Skewness Practise
skewness solution
Range and IQR
Sample vs. population
Variance _ Standard Deviation
Quiz: Variance
Impact pf scaling _ shifting
Statistical Moments (+Screenshot attached)
What is a distribution
Normal distribution
Z-Scores
Solution - normal distribution
Exercise - Normal distribution
Quiz:Normal distribution
Probability theory Intro
Probability - Basics
Calculating probability
Simple Probability - Exercise 1
Simple Probability - Quick solution
The addition rule
Detailed solution - simple probability
Exercise - Addition rule
Quick solution - Addition rule
Addition rule - Solution
Multiplication rule
Rule of multiplication - exercise
Rule of multiplication - solution
Bayes Theorem
Bayes Example
Expected value
Exercise - expected value
Expected value - solution
Law of large numbers
Central Limit Theorem - Theory
Central Limit Theorem - Intuition
Central Limit Theorem Challenge
Practise Exercise - CLT
CLT Exercise 2 - Solution Update
Quiz: Bayes Theorem
Binomial distribution
Poisson distribution
Real life problems
Hypothesis intro
What is an hypothesis
Significance level and p-value
Type I and type II error
Confidence interval and margin of error
Excursion Calculating the sample size _ power
Performing the hypothesis test
Hypothesis test - exercise
Hypothesis test - solution
test and t-distribution
Hypothesis proportion testing_new
Important p-z pairs
Quiz 7:Hypothesis Testing
Regression intro
Linear Regression
Correlation coefficient
Correlation - exercise
Solution - Correlation
Exercise - Regression
Solution - Regression
Residual, MSE _ MAE
Exercise MSE _ MAE
Solution - MSE _ MAE
Coefficient of determination
Root mean square error_update3
RMSE - exercise
RMSE - Solution
Quiz 8: Regression
Multiple Linear Regression
overfitting
Polynomial regression
Logistic regression
Decision Trees
Regression Trees
Random Forests
Strategies to deal with missing data
ANOVA Basics
One way Anova
F-Distribution (attach F table pdf)
Two way - Sum of squares
Two way - Calculating the f-ratio _ conclusions
Quiz 9: ANOVA
Wrap up