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explain whether the final model has a significant linear relationship

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(3) A manual for preparing and submitting the exercise/assignment via Microsoft Teams has been uploaded as "Submission Manual. pdf" both in Learn@PolyU and Microsoft Teams of this subject. Please take a look of the file before doing and turning in your exercise/assignment.

 

Q1. A worsted yarn manufacturer wants to determine a price of new yarn according to the prevailing prices of congeneric products in the market.  Table 1 shows the prices of eight worsted yarns in the market, together with three parameters of yarn count (Nm), wool portion (%) and color. As a marketing analyst, you are required to establish the relationship between yarn price and these parameters.

Table 1. Yarn count, wool portion, color and worsted yarn price.

Yarn count

(Nm)

Wool portion (%)

Color

Yarn price (HK$)

32

30

2

50

48

30

2

51

28

50

1

60

32

50

3

62

48

50

2

64

56

50

1

70

32

70

3

73

48

70

3

76

 

Use Stepwise to implement linear regression for the above data and answer the following questions (Note: Appropriate supporting outputs of SPSS should be included in your answers):

(a)    Which variables are included in the final model?

(b)   Establish a multiple regression equation for the final model.

(c)    Explain whether the final model has a significant linear relationship.

(d)   Explain how well of the final regression model.

(e)    Explain which variable does not have a significant linear relationship with yarn price.

 

(f)    If the manufacturer wants to determine a price for his new yarn of 40 Nm, 60% wool and dyed in color 2, what reference price would you like to suggest according to the price of congeneric products in the market?

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