NMIMS Global Access School for Continuing Education (NGA-SCE) Course: Business Statistics Internal Assignment Applicable for December 2020 Examination Assignment Marks: 30 Instructions: All Questions carry equal marks. All Questions are compulsory All answers to be explained in not more than 1000 words for question 1 and 2 and for question 3 in not more than 500 words for each subsection. Use relevant examples, illustrations as far as possible. All answers to be written individually. Discussion and group work is not advisable. Students are free to refer to any books/reference material/website/internet for attempting their assignments, but are not allowed to copy the matter as it is from the source of reference. Students should write the assignment in their own words. Copying of assignments from other students is not allowed Students should follow the following parameter for answering the assignment questions For Theoretical Answer Assessment Parameter Weightage Introduction 20% Concepts and Application 60% related to the question Conclusion 20% For Numerical Answer Assessment Parameter Weightage Understanding and usage 20% of the formula Procedure / Steps 50% Correct Answer & 30% Interpretation Data Set: Sample of 7 different species of fish has been taken and their weight in grams, lengths (vertical, diagonal, cross given as length 1, length 2 and length 3 respectively), height and width in cm is given below: Species Bream Bream Bream Weight Length1 Length2 Length3 Height Width 725 31.8 35 40.9 16.36 6.0532 720 32 35 40.6 16.3618 6.09 714 32.7 36 41.5 16.517 5.8515 NMIMS Global Access School for Continuing Education (NGA-SCE) Course: Business Statistics Internal Assignment Applicable for December 2020 Examination Bream Bream Bream Bream Bream Bream Bream Roach Roach Roach Roach Roach Roach Roach Roach Roach Roach Roach Roach Roach Roach Roach Whitefish Whitefish Whitefish Whitefish Whitefish Whitefish Parkki Parkki Parkki Parkki Parkki Parkki Parkki Parkki Parkki Parkki Parkki 850 1000 920 955 925 975 950 0 110 120 150 145 160 140 160 169 161 200 180 290 272 390 270 270 306 540 800 1000 55 60 90 120 150 140 170 145 200 273 300 32.8 33.5 35 35 36.2 37.4 38 19 19.1 19.4 20.4 20.5 20.5 21 21.1 22 22 22.1 23.6 24 25 29.5 23.6 24.1 25.6 28.5 33.7 37.3 13.5 14.3 16.3 17.5 18.4 19 19 19.8 21.2 23 24 36 37 38.5 38.5 39.5 41 41 20.5 20.8 21 22 22 22.5 22.5 22.5 24 23.4 23.5 25.2 26 27 31.7 26 26.5 28 31 36.4 40 14.7 15.5 17.7 19 20 20.7 20.7 21.5 23 25 26 41.6 42.6 44.1 44 45.3 45.9 46.5 22.8 23.1 23.7 24.7 24.3 25.3 25 25 27.2 26.7 26.8 27.9 29.2 30.6 35 28.7 29.3 30.8 34 39.6 43.5 16.5 17.4 19.8 21.3 22.4 23.2 23.2 24.1 25.8 28 29 16.8896 18.957 18.0369 18.084 18.7542 18.6354 17.6235 6.4752 6.1677 6.1146 5.8045 6.6339 7.0334 6.55 6.4 7.5344 6.9153 7.3968 7.0866 8.8768 8.568 9.485 8.3804 8.1454 8.778 10.744 11.7612 12.354 6.8475 6.5772 7.4052 8.3922 8.8928 8.5376 9.396 9.7364 10.3458 11.088 11.368 6.1984 6.603 6.3063 6.292 6.7497 6.7473 6.3705 3.3516 3.3957 3.2943 3.7544 3.5478 3.8203 3.325 3.8 3.8352 3.6312 4.1272 3.906 4.4968 4.7736 5.355 4.2476 4.2485 4.6816 6.562 6.5736 6.525 2.3265 2.3142 2.673 2.9181 3.2928 3.2944 3.4104 3.1571 3.6636 4.144 4.234 NMIMS Global Access School for Continuing Education (NGA-SCE) Course: Business Statistics Internal Assignment Applicable for December 2020 Examination Perch Perch Perch Perch Perch Perch Perch Perch Perch Perch Perch Pike Pike Pike Pike Pike Pike Pike Pike Pike Pike Smelt Smelt Smelt Smelt Smelt Smelt Smelt Smelt Smelt Smelt 5.9 32 40 51.5 70 100 78 80 85 85 110 430 345 456 510 540 500 567 770 950 1250 6.7 7.5 7 9.7 9.8 8.7 10 9.9 9.8 12.2 7.5 12.5 13.8 15 15.7 16.2 16.8 17.2 17.8 18.2 19 35.5 36 40 40 40.1 42 43.2 44.8 48.3 52 9.3 10 10.1 10.4 10.7 10.8 11.3 11.3 11.4 11.5 8.4 13.7 15 16.2 17.4 18 18.7 19 19.6 20 21 38 38.5 42.5 42.5 43 45 46 48 51.7 56 9.8 10.5 10.6 11 11.2 11.3 11.8 11.8 12 12.2 8.8 2.112 14.7 3.528 16 3.824 17.2 4.5924 18.5 4.588 19.2 5.2224 19.4 5.1992 20.2 5.6358 20.8 5.1376 21 5.082 22.5 5.6925 40.5 7.29 41 6.396 45.5 7.28 45.5 6.825 45.8 7.786 48 6.96 48.7 7.792 51.2 7.68 55.1 8.9262 59.7 10.6863 10.8 1.7388 11.6 1.972 11.6 1.7284 12 2.196 12.4 2.0832 12.6 1.9782 13.1 2.2139 13.1 2.2139 13.2 2.2044 13.4 2.0904 1.408 1.9992 2.432 2.6316 2.9415 3.3216 3.1234 3.0502 3.0368 2.772 3.555 4.5765 3.977 4.3225 4.459 5.1296 4.896 4.87 5.376 6.1712 6.9849 1.0476 1.16 1.1484 1.38 1.2772 1.2852 1.2838 1.1659 1.1484 1.3936 Q-1: a. Find the mean and standard deviation for each type of fish for every variable. b. If you need to choose a fish on the basis of weight, which fish you choose? c. Find mean, median, quartiles for the entire data set for each variable. (10 Marks) NMIMS Global Access School for Continuing Education (NGA-SCE) Course: Business Statistics Internal Assignment Applicable for December 2020 Examination Q-2: Regress the following: a. Taking weight as dependent variable and height as independent variable. Is variable is found to be significant? b. Taking weight as dependent variable and width as independent variable. Is variable is found to be significant? c. Taking weight as dependent variable and length1, length 2 and length 3 as independent variable. Are variables is found to be significant? Which variable is not significant? d. Taking weight as dependent variable and height, width, length 1, length 2 and length 3 as independent variable. e. On basis of adjusted R square compare the model of part a, b, c and d. which model is best to predict weight? (10 Marks) Q-3 The daily COVID 19 cases (in hundred) for Delhi for past 2 week is summarize in the following table: Day 1 Cases 28 2 3 4 5 6 7 8 9 10 11 12 13 14 29 33 31 37 34 36 43 41 32 34 37 39 32 a. Using exponential smoothing method forecast the cases for 15 days, taking alpha as 0.3 and Initial forecast is the average of all data. (5 Marks) b. Using linear trend analysis, find the trend line for number of COVID 19 cases in Delhi and forecast for next 3 days. Also compute the Mean Square Error. (5 Marks) **********