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In a dairy company they have had problems with the viscosity of a certain chocolate drink. It is believed that with three ingredients added in

In a dairy company they have had problems with the viscosity of a certain chocolate drink. It is believed that with three ingredients added in small amounts, this problem can be solved, so it is necessary to explore the situation; To do this, a 2 ^ k fractioned experiment with two replicates is run. The following results obtained from this analysis are shown below.

SourceSSdfMSF value
A1.6211.6236
B2.4212.4253.77778
C23.12123.12513.7778
Error0.1840.045
Total27.347

Upon seeing this information, the engineer is not very convinced and decides to make a complete 2k design to compare the results obtained in the fractional design, obtaining the following results:

Ingredient AIngredient BIngredient CViscosity
-113.113.9
114.714.4
-114.614.9
114.314.1
-116.917.2
115.515.1
-117.418.9
118.919.2

1.Perform a variance analysis of this data and draw general conclusions
2.Computes residuals, normality, constant variance, and independence
3.Define the model
4.Are the results obtained in the fractional design and in the complete one the same? If so, why?

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