TTK Prestige Private Limited specializes in manufacturing and kitchen related products. One of the products it sells is a cooker marketed under the name Svacch Nakshatra. Although the product has generated substantial net revenues for TTK Prestige Private Limited, the management is unsure of its pricing and advertising strategies, and has undertaken, with the cooperation of some retail stores, to conduct a statistical analysis of demand for the product in India.

TTK Prestige Private Limited’s analysts believe that the principal determinants of consumer purchases of Svachh Nakshatra are: (1) the price charged for Svachh Nakshatra, (2) the price of Contura Black (a competing brand cooker sold by rival (“Hawkins”), and (3) advertising expenditure on Svachh Nakshatra. The following data were collected from a group of representative stores.

Q

qsold

PSN

PCB

A

1

1027

1450

1420

3.97

2

1024

1290

1450

4.54

3

974

1470

1390

3.77

4

1111

1330

1430

3.29

5

1042

1440

1400

3.49

6

1304

1320

1470

4.27

7

1054

1330

1380

4.11

8

997

1350

1370

3.5

9

1223

1310

1430

3.97

10

1247

1300

1440

3.88

11

1049

1460

1430

3.99

12

1250

1270

1470

4.54

13

972

1470

1380

3.75

14

1184

1320

1460

3.31

15

1054

1430

1410

3.49

Where Q = Store Number

qsold = weekly quantity of Svachh Nakshatra sold (hundreds)

PSN = Price of Svachh Nakshatra (INR)

PCB = Price of Contura Black (INR)

adv = TTK’s Advertising (INR Lakhs)

In the table, the price of Contura Black is the retail price charged consumers, while the price of Svachh Nakshatra is the price TTK Prestige Private Limited charges its customers. However, since the retailers use markup pricing, the price charged by TTK Prestige Private Limited does determine what consumers pay for Svachh Nakshatra.

Questions:

  • How do you suggest to explore the relationship between Q, PSN, PCB, and A? What are the assumptions and hypotheses in developing this study?
  • Your team as analysts right in hypothesizing linear relationship between dependent and independent variables? Provide sound reasoning. (Hint: visualize the data to understand linearity or non-linearity)
  • What do results convey? What is the significance of intercept (if any) and PSN, PCB, and A in evaluating quantity of Svachh Nakshatra sold? Using the data obtained by TTK Prestige Private Limited’s, and the statistical model, provide the estimate a linear regression equation for TTK Prestige Private Limited’s sales volume of Svachh Nakshatra. Interpret the results of the equation with regard to
  • Overall goodness of fit, and
  • Significance of the estimated coefficients of the independent variables
  • What do the results convey? In simple terms, explain the results.
  • For price of Svachh Nakshatra varying between Rs.1200 to Rs.1500, the advertising costs varying between Rs. 2 lakhs to Rs. 5 lakhs, and Contura Black’s price between Rs. 1350 to 1550, what is the quantity of sales demand for Svachh Nakshatra?
  • Management contemplates what the demand function indicates the sales volume of the Svachh Nakshatra is related to its price, the price of Contura Black, and advertising expenditures on Svachh Nakshatra. Mrs. Hema, a member of analysts team that carried out the study states that a number of important conclusions can be drawn by setting each of the variables in the table equal to its mean value and determining the quantity sold that the demand model estimates. She says that the signs of the estimated coefficients and the elasticity of the quantity with respect to each of the independent variables will indicate that TTK Prestige Private Limited should consider some alterations in its current pricing and advertising strategies. Using the mean values of the independent variables in the table with estimated regression, determine what strategy changes Mrs. Hema would be likely to suggest.
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