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Business Statistics - Assignment Dec 2020

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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)
**********
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