NMIMS ASSIGNMENT APRIL 2024
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Decision Science
Q1. Calculate the probability for the following statements. Draw the Probability tree diagram also.
In a medical college of Pune (a class of 100 people), 30 % people Like to have Misal-pav on the farewell party as per the google form survey. Remaining people have chosen vadapav. Out of those who have chosen Misal-pav 50 % said that they would eat only Jain Misal pav. Well, 30 % of those 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.
Note: Handmade drawing of Diagram is prohibited; prepare it with the help of software like MS-Word.
Q2. Write the interpretation for the following regression model. You are advised to run the analysis using MS EXCEL.
Here 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 had 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 product and its sales (in number of units).
Reel Number | Number of units sold | Number of likes |
Reel 1 | 24 | 1503 |
Reel 2 | 24 | 1564 |
Reel 3 | 24 | 1649 |
Reel 4 | 24 | 1882 |
Reel 5 | 26 | 1924 |
Reel 6 | 28 | 1937 |
Reel 7 | 28 | 1944 |
Reel 8 | 29 | 2086 |
Reel 9 | 30 | 2150 |
Reel 10 | 31 | 2215 |
Reel 11 | 32 | 2366 |
Reel 12 | 32 | 2472 |
Reel 13 | 35 | 2622 |
Reel 14 | 35 | 2792 |
Reel 15 | 36 | 2871 |
Reel 16 | 36 | 2973 |
Reel 17 | 38 | 3000 |
Reel 18 | 38 | 3024 |
Reel 19 | 39 | 3319 |
Reel 20 | 40 | 3336 |
Reel 21 | 41 | 3337 |
Reel 22 | 41 | 3413 |
Reel 23 | 41 | 3479 |
Reel 24 | 42 | 3577 |
Reel 25 | 46 | 3617 |
Reel 26 | 46 | 3922 |
Reel 27 | 46 | 4332 |
Reel 28 | 48 | 4562 |
Reel 29 | 48 | 4577 |
Reel 30 | 48 | 4763 |
Reel 31 | 49 | 4964 |
- Write the regression model.
- Discuss the R-square, Multiple R
- Discuss the ANOVA
- Discuss the Significance of Independent variable and B1 value.
Q3.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.
Table: Production of Commercial crops. (Source: RBI)
Year | Groundnut (Lakh Tonnes) | Rapeseed & Mustard (Lakh Tonnes) | Soyabean (Lakh Tonnes) |
2000-01 | 64 | 42 | 53 |
2001-02 | 70 | 51 | 60 |
2002-03 | 41 | 39 | 47 |
2003-04 | 81 | 63 | 78 |
2004-05 | 68 | 76 | 69 |
2005-06 | 80 | 81 | 83 |
2006-07 | 49 | 74 | 89 |
2007-08 | 92 | 58 | 110 |
2008-09 | 72 | 72 | 99 |
2009-10 | 54 | 66 | 100 |
2010-11 | 83 | 82 | 127 |
2011-12 | 70 | 66 | 122 |
2012-13 | 47 | 80 | 147 |
2013-14 | 97 | 79 | 119 |
2014-15 | 74 | 63 | 104 |
2015-16 | 67 | 68 | 86 |
2016-17 | 75 | 79 | 132 |
2017-18 | 93 | 84 | 109 |
2018-19 | 67 | 93 | 133 |
2019-20 | 100 | 91 | 112 |
2020-21 | 102 | 102 | 126 |
2021-22 | 101 | 118 | 130 |
Note: Here you are advised to use Software like EXCEL for making Graphs, copy them and paste in your assignment file. Snapshots are not allowed.
Q3.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 do require a primary survey to understand the social media consumption of LinkedIn users. Your goal is to understand why they are using LinkedIn, for how many hours a day, and their activities they do on the same platform. You do have research questionnaire in your hand as per your proper literature study. Now, the question is about survey and data collection.
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