# Essentials of Data Science With R Software-2: Sampling Theory and Linear Regression Analysis

- Institution: IIT Kanpur
- Department: Mathematics
- Teacher: Prof. Shalabh
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111104147)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111104147)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Lecture 01: What is Data Science?](https://invisiblenetwork.ai/learn/nptel/111104147/f5e9e56c5848) (Video)
2. [Lecture 02: Installation and Working with R](https://invisiblenetwork.ai/learn/nptel/111104147/f3ee9ad3bb6d) (Video)
3. [Lecture 03: Calculations with R as a Calculator](https://invisiblenetwork.ai/learn/nptel/111104147/adcdd7132921) (Video)
4. [Lecture 04: Calculations with Data Vectors](https://invisiblenetwork.ai/learn/nptel/111104147/a61abd17bcd1) (Video)
5. [Lecture 05: Built-in Commands and Missing Data Handling](https://invisiblenetwork.ai/learn/nptel/111104147/ae16554f9f42) (Video)
6. [Lecture 06: Operations with Matrices](https://invisiblenetwork.ai/learn/nptel/111104147/84864cb7837b) (Video)
7. [Lecture 07: Data Handling](https://invisiblenetwork.ai/learn/nptel/111104147/7c2043878a85) (Video)
8. [Lecture 08: Graphics and Plots](https://invisiblenetwork.ai/learn/nptel/111104147/132357a3db51) (Video)
9. [Lecture 09: Sampling, Sampling Unit, Population and Sample](https://invisiblenetwork.ai/learn/nptel/111104147/f7f3c6c8c461) (Video)
10. [Lecture 10: Terminologies and Concepts](https://invisiblenetwork.ai/learn/nptel/111104147/1e1c2adebc97) (Video)
11. [Lecture 11: Ensuring Representativeness and Type of Surveys](https://invisiblenetwork.ai/learn/nptel/111104147/04575b2f6680) (Video)
12. [Lecture 12: Conducting Surveys and Ensuring Representativeness](https://invisiblenetwork.ai/learn/nptel/111104147/66a8745290ec) (Video)
13. [Lecture 13: SRSWOR, SRSWR, and Selection of Unit- 1](https://invisiblenetwork.ai/learn/nptel/111104147/cfdd8ede71b7) (Video)
14. [Lecture 14: SRSWOR, SRSWR, and Selection of Unit- 2](https://invisiblenetwork.ai/learn/nptel/111104147/686d26de63db) (Video)
15. [Lecture 15: Probabilities of Selection of Samples](https://invisiblenetwork.ai/learn/nptel/111104147/801c4f4b4dab) (Video)
16. [Lecture 16: SRSWOR and SRSWR with R with "sample" Package](https://invisiblenetwork.ai/learn/nptel/111104147/5f917b9a950a) (Video)
17. [Lecture 17: Examples of SRS with R using "sample" Package](https://invisiblenetwork.ai/learn/nptel/111104147/c169b3e43f66) (Video)
18. [Lecture 18: Simple Random Sampling :: SRS with R using sampling- and sample- Packages](https://invisiblenetwork.ai/learn/nptel/111104147/fd8fbb891bac) (Video)
19. [Lecture 19: Simple Random Sampling :: Estimation of Population Mean](https://invisiblenetwork.ai/learn/nptel/111104147/c3d7920044e0) (Video)
20. [Lecture 20: Simple Random Sampling :: Estimation of Population Variance](https://invisiblenetwork.ai/learn/nptel/111104147/afb9a372474a) (Video)
21. [Lecture 21: Simple Random Sampling :: Estimation of Population Variance](https://invisiblenetwork.ai/learn/nptel/111104147/7d223f47d62d) (Video)
22. [Lecture 22: SRS :: Confidence Interval Estimation of Population Mean](https://invisiblenetwork.ai/learn/nptel/111104147/572aa5170f2e) (Video)
23. [Lecture 23: SRS :: Estimation of Mean, Variance and Confidence Interval in SRSWOR using R](https://invisiblenetwork.ai/learn/nptel/111104147/796de5df9052) (Video)
24. [Lecture 24: SRS :: Estimation of Mean, Variance and Confidence Interval in SRSWR using R](https://invisiblenetwork.ai/learn/nptel/111104147/11734768b7d1) (Video)
25. [Lecture 25: Sampling for Proportions and Percentages :: Basic Concepts](https://invisiblenetwork.ai/learn/nptel/111104147/195f17ccbef2) (Video)
26. [Lecture 26: Sampling for Proportions and Percentages :: Mean and Variance of Sample Proportion](https://invisiblenetwork.ai/learn/nptel/111104147/0b10db0b0264) (Video)
27. [Lecture 27: Sampling for Proportions and Percentages :: Sampling for Proportions with R](https://invisiblenetwork.ai/learn/nptel/111104147/e6fce2bb0cd4) (Video)
28. [Lecture 28: Stratified Random Sampling :: Drawing the Sample and Sampling Procedure](https://invisiblenetwork.ai/learn/nptel/111104147/c33a15882a79) (Video)
29. [Lecture 29: Stratified Random Sampling :: Estimation of Population Mean, Population Variance and Confidence Interval](https://invisiblenetwork.ai/learn/nptel/111104147/190423631968) (Video)
30. [Lecture 30: Stratified Random Sampling :: Sample Allocation and Variances Under Allocation](https://invisiblenetwork.ai/learn/nptel/111104147/32c414809e43) (Video)
31. [Lecture 31: Stratified Random Sampling :: Drawing of Sample Using sampling and strata Packages in R](https://invisiblenetwork.ai/learn/nptel/111104147/90da1ff32080) (Video)
32. [Lecture 32: Stratified Random Sampling :: Drawing of Sample Using survey Package in R](https://invisiblenetwork.ai/learn/nptel/111104147/de9059453cbd) (Video)
33. [Lecture 33: Bootstrap Methodology :: What is Bootstrap and Methodology](https://invisiblenetwork.ai/learn/nptel/111104147/84d465475bc1) (Video)
34. [Lecture 34: Bootstrap Methodology :: EDF, Bootstrap Bias and Bootstrap Standard Errors](https://invisiblenetwork.ai/learn/nptel/111104147/bf5a3c234c87) (Video)
35. [Lecture 35: Bootstrap Methodology :: Bootstrap Analysis Using boot Package in R](https://invisiblenetwork.ai/learn/nptel/111104147/450009de07bf) (Video)
36. [Lecture 36: Bootstrap Methodology :: Bootstrap Confidence Interval](https://invisiblenetwork.ai/learn/nptel/111104147/abc30f9047cb) (Video)
37. [Lecture 37: Bootstrap Methodology :: Bootstrap Confidence Interval Using boot and bootstrap Packages in R](https://invisiblenetwork.ai/learn/nptel/111104147/6a84492f561d) (Video)
38. [Lecture 38: Bootstrap Methodology :: Example of Bootstrap Analysis Using boot Package](https://invisiblenetwork.ai/learn/nptel/111104147/cd7ab6de970e) (Video)
39. [Lecture 39: Introduction to Linear Models and Regression :: Introduction and Basic Concepts](https://invisiblenetwork.ai/learn/nptel/111104147/ec032abae17c) (Video)
40. [Lecture 40: Simple Linear Regression Analysis :: Basic Concepts and Least Squares Estimation](https://invisiblenetwork.ai/learn/nptel/111104147/e33cfe6fa632) (Video)
41. [Lecture 41: Simple Linear Regression Analysis :: Fitting Linear Model With R Software](https://invisiblenetwork.ai/learn/nptel/111104147/0c04e925a658) (Video)
42. [Lecture 42: Simple Linear Regression Analysis :: Properties of Least Squares Estimators](https://invisiblenetwork.ai/learn/nptel/111104147/bb15de232938) (Video)
43. [Lecture 43: Simple Linear Regression Analysis :: Maximum Likelihood and Confidence Interval Estimation](https://invisiblenetwork.ai/learn/nptel/111104147/8b601c60016a) (Video)
44. [Lecture 44: Simple Linear Regression Analysis :: Test of Hypothesis and Confidence Interval Estimation With R](https://invisiblenetwork.ai/learn/nptel/111104147/a3a4c943630f) (Video)
45. [Lecture 45: Multiple Linear Regression Analysis :: Basic Concepts](https://invisiblenetwork.ai/learn/nptel/111104147/095a18c0c553) (Video)
46. [Lecture 46: Multiple Linear Regression Analysis :: OLSE, Fitted Model and Residuals](https://invisiblenetwork.ai/learn/nptel/111104147/4def8c002249) (Video)
47. [Lecture 47: Multiple Linear Regression Analysis :: Model Fitting With R Software](https://invisiblenetwork.ai/learn/nptel/111104147/04c83a57e4ed) (Video)
48. [Lecture 48: Multiple Linear Regression Analysis :: Properties of OLSE and Maximum Likelihood Estimation](https://invisiblenetwork.ai/learn/nptel/111104147/2f7fdc1d24cd) (Video)
49. [Lecture 49: Multiple Linear Regression Analysis :: Test of Hypothesis and Confidence Interval Estimation on Individual Regression Coefficients](https://invisiblenetwork.ai/learn/nptel/111104147/0596343401ed) (Video)
50. [Lecture 50: Analysis of Variance and Implementation in R Software](https://invisiblenetwork.ai/learn/nptel/111104147/da5b76784268) (Video)
51. [Lecture 51: Goodness of Fit and Implementation in R Software](https://invisiblenetwork.ai/learn/nptel/111104147/a8610e03874f) (Video)
52. [Lecture 52: Variable Selection using LASSO Regression :: Introduction and Basic Concepts](https://invisiblenetwork.ai/learn/nptel/111104147/7d8c6f6d43de) (Video)
53. [Lecture 53: Variable Selection using LASSO Regression :: LASSO with R](https://invisiblenetwork.ai/learn/nptel/111104147/42e890e4d30b) (Video)
54. [Live Session 01-04-2021](https://invisiblenetwork.ai/learn/nptel/111104147/f5e9e56c5848-2) (Video)
55. [Live Session 03-12-2022](https://invisiblenetwork.ai/learn/nptel/111104147/f3ee9ad3bb6d-2) (Video)
56. [Live Session 08-03-2024](https://invisiblenetwork.ai/learn/nptel/111104147/adcdd7132921-2) (Video)