Answer to Question #325012 in Statistics and Probability for ladi

Question

The President of the Farmers Association wants to know how the amount of fertilizer and the amount of water given to plants affect their growth. The results were inputted into MINITAB so as to fit the model. Regression Analysis: Growth versus Water, Fertilizer The regression equation is Growth = 𝛽 + 𝜙 Water + 𝛼Fertilizer Predictor Coef SE Coef T P Constant 42.085 ** 3.118 0.009 Water 0.178 0.386 0.460 0.654 Fertilizer 5.790 0.952 6.083 * S = 6.159 R-Sq = 77.1%% R-Sq(adj) = 73.3% Analysis of Variance Source DF SS MS F P Regression 2 1532.603 766.301 *** **** Residual Error 12 455.130 37.928 Total 14 1987.733 i. Write out the regression equation [1] ii. What is the sample size used in this investigation? [1] iii. Determine the values of *, ** and ***, **** [3] iv. Conduct a hypothesis test, at the 5% level of significance, to determine whether 𝜙 is significant.