Question

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Problema 2 The modelYl=0+1Xli + 2 X2ì + 3X3i +ei was adjustedusing the minimum square method where Y- pound of tomatocs producod by. one plant xi -gunccs ok nitrogen used in the fertilizer X2 = ounces of phosphorusused in the trtiliz x3- ounces of calcium used in the fertilizct G.L F-cal Error 10 320 Total wbers0-15,1-5,2-2,3-1 a) Complete the ANOVA table (b) ls this model significant? (Explain the hypothesss to be tested) Reduced analysis with the same data for the reduced modcl with the result: ourceG G.L SSMSF-cal Error Total 20 c) Complete the ANOVA tabls (d) Proxc the hypothesis that phosphorus and calcium do not sontributs to tomato productio3

Answer 1

In part d, we can prove the hypothesis that phosphorus and calcium do not contribute tomato production by comparing the two model (full and reduced model) by using F-test, We conclude that phosphorus and calcium do not contribute in tomato production because there is not a significant difference between two models.