. Creative Confectioners is planning to introduce a new brownie. A small-scale "taste test" was conducted to assess consumers' preferences (Y) with regard to moisture content 1X1 2 and sweetness 1X2 2. Data from the taste test may be found in the file Confectioners.xlsx.

c. Estimate the parameters for the following regression function: Y^ i 5 b0 1 b1X1i 1 b2X2 1i 1 b3X2i 1 b4X2 2i What is the estimated regression function?

d. Using the estimated regression function in part c, what is the expected preference rating of a brownie recipe with a moisture content of 7 and a sweetness rating of 9.5?

Data:

Moisture Sweetness Preference

2.9 4.4 69

3.2 4.2 73

4.0 5.1 72

4.5 5.3 75

4.5 6.0 74

5.1 6.3 78

4.9 7.7 80

5.7 8.1 81

6.4 7.8 82

7.1 8.2 85

7.8 8.8 88

7.8 9.9 85

8.6 10.0 84

8.9 10.6 81

9.5 10.9 76

9.7 12.0 74