Basic Statistics

[Google - Medium] Confidence Interval of Coin Toss

[General - Easy] Mean, Median, Percentile

[General - Easy] Estimate Global Mean and Variance

[Google - Medium] Unbiased Estimation of Variance

[Google - Medium] Confidence Interval of Median

Statistical Bias

[General - Medium] Health Monitoring Device

[LinkedIn - Easy] Simpson's Paradox

[General - Medium] Customer Satisfaction Survey

Probability

[Meta - Easy] Probability of Biased Coin

[Meta - Medium] Average Waiting Days

[Google - Hard] Estimate d in Uniform(0, d)

[Goldman Sachs - Medium] Correlation of X+3 and Y

[Amazon - Easy] Detecting Disease

[Meta - Easy] Rains in Seattle

[Meta - Easy] Facebook Rater

[Meta - Easy] Two Kings

[Meta - Easy] Suits and Ranks

[General - Easy] Chance of Heads Flipping a Biased Coin

[General - Easy] Birthday Problem

[Google - Medium] Maximum Likelihood Estimation

[General - Hard] Number of Trials to Detect Biased Coin

[Google - Medium] Median of Uniform Distribution

[Meta - Medium] Maximum Payout in Die Roll

Hypothesis Testing

[Google - Easy] Pretest-Posttest

[Uncountable - Hard] Factorial Design

[Google - Medium] Biased Coin Hypothesis Testing

[Airbnb - Easy] CLT and Z-Test

[Pinterest - Easy] Multiple Testing

[Google - Easy] Difference between T-Test and Z-Test?

[Pinterest - Easy] Reduce Type 1 Error Rate

[Google - Easy] CI from One-Sided Test

[General - Easy] P-Value Meaning

[General - Easy] Central Limit Theorem

[General - Easy] Tests with Zero-Inflated, Skewed Distributions

[General - Easy] Central Limit Theorem on T-Test

[General - Easy] Explain the Confidence Interval

[Google - Medium] Testing Variances

[Capital One - Easy] Explain P-Value to a Non-Technical Stakeholder

Regression Analysis

[General - Easy] OLS Model Assumptions

[General - Easy] Inflated R-Squared

[Apple - Easy] Ad Campaign Conversion

[YouTube - Easy] YouTube Video Consumption - Part 1

[Apple - Medium] Call Center Analysis

[General - Easy] Collinearity in Regression Modeling

[YouTube - Easy] YouTube Video Consumption - Part 2

[General - Easy] Confidence Interval in Logistic Regression Model

[General - Easy] Outliers in Regression Modeling

[General - Easy] The Least Squares Method

Applied Statistics

<p><strong>Last Updated</strong><em><strong>:</strong>&nbsp;March 2024</em></p>

<h2 class="wp-block-heading"><strong>Problem</strong></h2>

<p>How do you estimate coefficients in a linear model using the Least Squares Method?</p>

<hr>

<h2 class="wp-block-heading"><strong>Solution</strong></h2>

<p>We want to find the Beta (B) that minimizes the error (e) in the linear model equation.</p>

<figure class="wp-block-image"><img decoding="async" src="https://files.cdn.thinkific.com/file_uploads/481328/images/8c6/022/d55/1_-_Linear_Equation.png" alt=""></figure>

<p>To do so, we use the following optimization that involves normal equations, where we multiply both sides of the model equation by X transpose.</p>

Last Updated : &nbsp;March 2024 Problem How do you estimate coefficients in a linear model using the Least Squares Method? Solution We want to find the…

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[General - Easy] The Least Squares Method

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