B.TechSemester 52020-21Statistical ComputingKIT051
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Statistical Computing (KIT051) - AKTU Question Paper 2020-21

B.Tech · Semester 5 · Free PDF Download

This is the official AKTU Statistical Computing Previous Year Question Paper for B.Tech Semester 5, academic session 2020-21. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.

Course:B.Tech
Semester:Semester 5
Session:2020-21
University:AKTU / UPTU

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Questions Asked in 2020-21

Statistical Computing (KIT051) — complete question paper

Section AAttempt all questions in brief. 2 x 10 = 20
  • a
    What are the measures of central tendency? 2 1
  • b
    Differentiate between linear regression and multiple regression. 2 1
  • c
    Discuss the 'Goodness of Fit' test. 2 2
  • d
    Explain bootstrapping. 2 4
  • e
    Explain stratified sampling. 2 3
  • f
    What is workspace in R language? 2 5
  • g
    Explain lists and data frames in R with proper example 2 5
  • h
    What is ANOVA? 2 2 i. Explain antithetic variables. 2 3 j. Explain central limit theorem. 2 1
Section BAttempt any three of the following:
  • a
    What are the ways to represent data diagrammatically? explain with diagrams. Explain measures of skewness and kurtosis
  • b
    Explain basic concepts of estimation with example. 10 2
  • c
    State and proof weak law of large numbers. 10 3
  • d
    Explain PCA algorithm for dimensionality reduction step by step. 10 4
  • e
    Explain different statistical libraries in R. 10 5
Section CAttempt any one part of the following:
  • a
    Write an algorithm to compute the QR decomposition. 10 3
  • b
    In a volunteer group, adults 21 and older volunteer from one to nine hours each week to spend time with a disabled senior citizen. The program recruits among community college students, four-year college students, and nonstudents. The table below is a sample of the adult volunteers and the number of hours they volunteer per week. Number of Hours Worked Per Week by Volunteer Type (Observed)The table contains observed (O) values (data). Type of Volunteer 1–3 Hrs 4–6 Hrs 7–9 Hrs Row Total Community College Students Four-Year College Students Nonstudents 91 150 53 294 Column Total 298 379 162 839 Is the number of hours4 volunteered independent of the type of volunteer?
  • a
    Explain different data structures in R language with suitable example 10 5
  • b
    (i) What attributes does a data frame possess? (ii) What does as.matrix() do when applied to a data frame with columns of different types?
  • a
    Explain EM algorithm step by step with proper example. 10 4
  • b
    What is kernel smoothing? Explain different smoother in detail 10 4
  • a
    Explain the properties of Monte Carlo integration in detail. What are the Advantages of Monte Carlo Integration over Deterministic Methods?
  • b
    Explain the different method of random number generation. 10 3
  • a
    Write short notes on the following: (i) Chebyshev’s inequality (ii) Bayes’ theorem
  • b
    Explain inference procedure for correlation coefficient. 10 1

Question text is extracted from the official AKTU question paper PDF above. Hindi translations are omitted — every question is printed in English in the original paper. Last verified: 2026-08-23.

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