Engineering B.E. (Computer Engineering) Sem 6 Quantitative Analysis May 2023 Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Question number 1 is compulsory
2. Q2 Attempt any three out of the remaining five questions
3. Q3 Assume suitable data if necessary and justify the assumptions
4. Q4 Figures to the right indicate full marks
5. Q1 Answer the following 20 marks
   • a) Define Statistics and list the limitations of statistics
   • b) Explain sampling and purpose of sampling
   • c) What is regression analysis? How does it differ from correlation
   • d) Show that sample variance is an unbiased estimator of population variance ( Also illustrate with an example
6. Q2 a) experiment on correlation research study, the equations to the two regression lines were found to be 2x-y + 1 = 0 and 3x-2y+7 =0 Find the mean of x and y. Also work out the values of regression coefficients and correlation coefficient between the two variables x and y 10 marks
   • b) The frequency distribution of scores obtained by 250 candidates in an 10 entrance tests is as follows. Draw a less than and more than frequency curve (ogive) to represent the given data. Also what is the significance of the point of intersection of the two ogive curves?
7. Q3 The following table gives the age of cars of a certain make and annual maintenance costs. Obtain the regression equation for Maintenance costs, taking age of the car as the independent variable. Also find the maintenance cost for Age of the car = 5 years (in Years) (In thousands of rupees) 10 marks
   • b) Explain with illustration the concept of Point estimation 10
8. Q4 a) Following is the data about the weights in Kgs of 10 Shipments (X1), the distances they were moved and the damage that was incurred (Y) 10 marks
   • i) Fit Y =a + + b2X2
   • ii) Find the coefficient of multiple determination (R? )
   • iii) Also test the significance of regression (Given the appropriate Table value, F = 9.55, for a significance level of a = 0.01) (thousands of Rs) weights in Kgs in Km
   • b) Explain primary data and secondary data in detail 10
9. Q5 a) = 0.61 and r23 = 0.4. Compute i) ii) 113.2, iii) 10 marks
   • b) Differentiate between the following pair of concepts: 10
   • i) Critical Region and Region of acceptance
   • ii) Null Hypothesis and Alternative Hypothesis
10. Q6 Write short note on 20 marks
    • a) and its advantages and disadvantages
    • b) Method of moments
    • c) Multiple Regression
    • d) Pearson Lemma

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