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Creative Confectioners is planning to introduce a new brownie. A small-scale taste test was conducted to assess consumers' preferences ( Y ) with regard to

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

(X1)

and sweetness

(X2).

Data from the taste test may be found in the table below.

Moisture Sweetness Preference
2.8 4.5 70
3.1 4.3 74
3.9 5.2 73
4.4 5.4 76
4.4 6.1 75
5.0 6.4 79
4.8 7.8 81
5.6 8.2 82
6.3 7.9 83
7.0 8.3 86
7.7 8.9 89
7.7 10.0 86
8.5 10.1 85
8.8 10.7 82
9.4 11.0 77
9.6 12.1 75

(A) Estimate the parameters for the following regression function:

i = b0 + b1X1i + b2X1i2 + b3X2i + b4X2i2

What is the estimated regression function? (Enter your answer using X1 For X1i and X2 for X2i. (Round your numerical values to four decimal places.)

i =(???)

(B) 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? (Round your answer to the nearest integer.)

(???)

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