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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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