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Decision science June 2024

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Assignment Solution : Decision science June 2024

NMIM$ Global Access

School for Continuing Education (NGA-SCE)

Course: Business Law June 2024

Internal Assignment Applicable for June 2024 Examination

  1. In the world of social media, understanding the factors that contribute to the number of likes on a post is crucial for content creators. Let’s consider a scenario where you want to predict the number of likes on Instagram posts based on two variables: the number of followers and the length of the caption.
Post Likes Followers Caption

Length

1 120 5000 150
2 85 5500 180
3 100 6000 200
4 110 4500 160
5 95 7000 140
6 130 5200 170
7 75 5800 190
8 115 6300 150
9 80 4800 180
10 150 7500 160
11 105 5100 130
12 90 6700 170
13 125 5900 200
14 70 6800 150
15 140 5400 180
16 95 7200 160
17 120 4600 140

18 110 7100 170
19 100 5600 180
20 145 8000 120

 

Note: Well, you must do these calculations using EXCEL and write the interpretation of the following.

  • Hypothesized regression model
  • R-square adjusted
  • Multiple R
  • ANOVA Table
  • Significance of Regression coefficients.  (10 Marks)

 

  1. Samantha Patel, employed as an analyst in a renowned technology firm, is contemplating investing her savings in the stock market. Recommendations from her friends, who possess expertise in stock market investments, led her to consider investing in ‘TechGen’ and ‘InnovateCorp’ shares. An economist friend, Rahul Kapoor, has outlined four different scenarios regarding potential returns on Samantha’s investments. The payoff figures for one unit of share in INR for each scenario are as follows:
Payoff (Profit within one month on one unit of share in INR) Scenario 1

(s1)

Scenario 2

(s2)

Scenario 3

(s3)

Scenario 4

(s4)

TechGen 48 35 22 15
InnovateCorp 32 40 45 53

 

  1. Set up the opportunity loss table based on the provided payoff figures.
  2. Create a decision tree illustrating the decision-making process for Samantha’s investment. You may use any software for making the tree diagram, but a handwritten snapshot will be unacceptable.

In making of this tree show the payoff values given above only.

  • According to Rahul Kapoor’s latest research, he has assigned the following probabilities to the four scenarios (states of nature):

P(S1) = 0.3

P(S2) = 0.4

P(S3) = 0.2

P(S4) = 0.1

Determine the Expected Monetary Value (EMV) decision based on the

probabilities assigned by Rahul.                                                               (10 Marks)

 

  1. Using the following data and analyze in EXCEL.
Year Rice (Lakh hectares) Wheat

(Lakh hectares)

Coarse

Cereals

(Lakh hectares)

Pulses

(Lakh hectares)

1966-67 353 128 451 221
1967-68 364 150 473 227
1968-69 370 160 462 213
1969-70 377 166 472 220

Year Rice (Lakh hectares) Wheat

(Lakh hectares)

Coarse

Cereals

(Lakh hectares)

Pulses

(Lakh hectares)

1970-71 376 182 460 225
1971-72 378 191 436 222
1972-73 367 195 422 209
1973-74 383 186 462 234
1974-75 379 180 432 220
1975-76 395 205 438 245
1976-77 385 209 419 230
1977-78 403 215 423 235
1978-79 405 226 422 237
1979-80 394 222 414 223
1980-81 402 223 418 225
1981-82 407 221 425 238
1982-83 383 236 404 228
1983-84 412 247 417 235
1984-85 412 236 392 227

Year Rice (Lakh hectares) Wheat

(Lakh hectares)

Coarse

Cereals

(Lakh hectares)

Pulses

(Lakh hectares)

1985-86 411 230 395 244
1986-87 412 231 397 232
1987-88 388 231 366 213
1988-89 417 241 387 232
1989-90 422 235 377 234
1990-91 427 242 363 247
1991-92 427 233 334 225
1992-93 418 246 344 224
1993-94 425 252 328 223
1994-95 428 257 322 230
1995-96 428 250 309 223
1996-97 434 259 318 225
1997-98 435 267 308 229
1998-99 448 275 293 235
1999-00 452 275 293 211

Year Rice (Lakh hectares) Wheat

(Lakh hectares)

Coarse

Cereals

(Lakh hectares)

Pulses

(Lakh hectares)

2000-01 447 257 303 204
2001-02 449 263 295 220
2002-03 412 252 270 205
2003-04 426 266 308 235
2004-05 419 264 290 228
2005-06 437 265 291 224
2006-07 438 280 287 232
2007-08 439 280 285 236
2008-09 455 278 275 221
2009-10 419 285 277 233
2010-11 429 291 283 264
2011-12 440 299 264 245
2012-13 428 300 248 233
2013-14 440 312 257 252
2014-15 439 310 242 231

Year Rice (Lakh hectares) Wheat

(Lakh hectares)

Coarse

Cereals

(Lakh hectares)

Pulses

(Lakh hectares)

2015-16 435 304 244 249
2016-17 440 308 250 294
2017-18 438 297 243 298
2018-19 442 293 221 292
2019-20 437 314 240 280
2020-21 458 311 241 288
2021-22 463 305 227 307
2022-23 477 318 236 291

Data source: RBI

  1. Which pattern is visible in all the crops across these many years? Suggest

appropriate chart for this pattern detection task.                                         (5 Marks)

 

  1. Identify two pairs of combination of the crops having negative correlations? Which graph will help you to detect that? provide that graph also. (5 Marks)

 

 

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