Question: In a small scale market study investigating brand liking (Y) for product variations with differen...

In a small scale market study investigating brand liking (Y) for product variations with different moisture content (X₁) and sweetness (X₂), the following data were obtained.

Product Variation	Moisture Content	Sweetness	Liking
1	4	2	64
2	4	4	73
3	4	2	61
4	4	4	76
5	6	2	72
6	6	4	80
7	6	2	71
8	6	4	83
9	8	2	83
10	8	4	89
11	8	2	86
12	8	4	93
13	10	2	88
14	10	4	95
15	10	2	94
16	10	4	100

Problem: Regress Liking on each of the other two factors independently. Regress Liking on both of the two other factors simultaneously. Discuss results. Based on the multiple regression, what would the expected liking for a product variation that includes 7 moisture content and 5 sweetness? Is this a valid expectation? Why or why not?