An article in Bioresource Technology [Quantitative Response of Cell Growth and Tuber Polysaccharides Biosynthesis by Medicinal Mushroom

An article in Bioresource Technology [€œQuantitative Response of Cell Growth and Tuber Polysaccharides Biosynthesis by Medicinal Mushroom Chinese Truffle Tuber Sinense to Metal Ion in Culture Medium€ (2008, Vol. 99(16), pp. 7606€“7615)] described an experiment to investigate the effect of metal ion concentration to the production of extracellular polysaccharides (EPS). It is suspected that Mg2+ and K⁺(in millimolars) are related to EPS. The data from a full factorial design follow.

(a) State the hypotheses of interest.

(b) Test the hypotheses with α = 0.5.

(c) Analyze the residuals and plot residuals versus the predicted production.

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Mg* (mM) K* (mM) EPS (g/L) Run 1 40 3.88 50 15 4.23 3 40 10 4.67 4. 30 5 5.86 10 4.50 50 5 3.62 3.84 15 8 40 15 3.25 30 10 4.18 2.