Best Gemini prompts for Statisticians

Given a dataset of customer purchase history, with features including age, income, and location, and a target variable of purchase amount, develop a step-by-step approach to evaluate the performance of a linear regression model, including calculation of mean squared error, R-squared, and coefficient interpretation, using Python and scikit-learn, and provide a detailed report on the model's strengths and weaknesses, including visualizations of the residuals and predicted values.

Write a SQL query to identify and quantify missing values, outliers, and data inconsistencies in a large dataset stored in Snowflake, including calculation of summary statistics such as mean, median, and standard deviation, and provide a recommendations report on data cleaning and preprocessing steps to ensure data accuracy and reliability, including suggestions for handling missing values and outliers.

Using a dataset of historical sales data, with features including date, region, and product category, develop a step-by-step approach to build and evaluate a time series forecasting model, including data preprocessing, feature engineering, and model selection, using Python and the Prophet library, and provide a detailed report on the model's performance, including visualizations of the forecasted values and confidence intervals, and suggestions for hyperparameter tuning and model improvement.

Given a dataset of experimental results, with features including treatment group, outcome variable, and covariates, develop a step-by-step approach to generate a statistical summary report, including calculation of descriptive statistics, inferential statistics, and data visualizations, using R and the ggplot2 library, and provide a detailed interpretation of the results, including discussion of the implications and limitations of the study, and suggestions for future research directions.