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NMIMS – Write the sampling plan for the following study. Also write, what is recommended according to you, census survey or sample Survey

Decision Science

1. Calculate the probability for the following statements. Draw the Probability tree diagram also.
In a medical college in Pune (a class of 100 people), 30 % of people Like to have Misal-pav at the farewell party as per the Google form survey. The remaining people have chosen Vada Pav. Out of those who have chosen Misal-pav 50 % said that they would eat only Jain Misal pav. Well, 30 % of those who have chosen Vadapav, also said they would have Jain Vadapav only.
What is the stack (percent & number) of people who will have Jain Food (including MISal pav and Vadapav)
What is the probability of selecting a person who would eat Misal pav given that person’s diet type is Jain? (10 Marks)
Note: Handmade drawing of Diagrams is prohibited; prepare it with the help of software like MS Word.

2. Write the interpretation for the following regression model. You are advised to run the analysis using MS EXCEL.
Here is Hiranmayee Dhar, an entrepreneur who is running “Pashminaa” a store of Pashmina shawls. She is targeting customers via social media applications; she has chosen Instagram as a platform and has also chosen REELs to advertise her products. She is looking for a forecasting model to understand the impact of no of likes of the REELs demonstrating the product and its sales (in number of units). (10 Marks)

Real Number

Reel 1

Reel 2

Reel 3

Reel 4

Reel 5

Reel 6

Reel 7

Reel 8

Reel 9

Reel 10

Reel 11

Reel 12

Reel 13

Reel 14

Reel 15

Reel 16

Reel 17

Reel 18

Reel 19

Reel 20

Reel 21

Reel 22

Reel 23

Reel 24

Reel 25

Reel 26

Reel 27

Reel 28

Reel 29

Reel 30

Reel 31

Number of units sold

24

24

24

24

26

28

28

29

30

31

32

32

35

35

36

36

38

38

39

40

41

41

41

42

46

46

46

48

48

48

49

Number of likes

1503

1564

1649

1882

1924

1937

1944

2086

2150

2215

2366

2472

2622

2792

2871

2973

3000

3024

3319

3336

3337

3413

3479

3577

3617

3922

4332

4562

4577

4763

4964

Write the regression model.

Discuss the R-square, Multiple R

Discuss the ANOVA

Discuss the Significance of the Independent variable and B1 value.

3.a) Draw an appropriate chart for the following. Also, write your clarification for choosing that graph. For each variable identify a time-series component present if you consider the long-term pattern. (5 Marks)

Year

2000-01

2001-02

2002-03

2003-04

2004-05

2005-06

2006-07

2007-08

2008-09

2009-10

2010-11

2011-12

2012-13

2013-14

2014-15

2015-16

2016-17

2017-18

2018-19

2019-20

2020-21

2021-22

Groundnut (Lakh Tonnes)

64

70

41

81

68

80

49

92

72

54

83

70

47

97

74

67

75

93

67

100

102

101

Rapeseed & Mustard (Lakh Tonnes)

42

51

39

63

76

81

74

58

72

66

82

66

80

79

63

68

79

84

93

91

102

118

Soybean (Lakh Tonnes)

53

60

47

78

69

83

89

110

99

100

127

122

147

119

104

86

132

109

133

112

126

130

Note: Here you are advised to use Software like EXCEL for making Graphs, copy them, and paste into your assignment file. Snapshots are not allowed.

3.b) Write the sampling plan for the following study. Also write, what is recommended according to you, census survey or sample Survey?
Imagine yourself doing PhD in NMIMS, for one of your research papers you require a primary survey to understand the social media consumption of LinkedIn users. Your goal is to understand why they are using LinkedIn, how many hours a day, and the activities they do on the same platform. You do have a research questionnaire in your hand as per your proper literature study. Now, the question is about survey and data collection. (5 Marks)

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