Question One 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 = ? + ? Water + ?Fertilizer 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 ii. What is the sample size used in this investigation? iii. Determine the values of *, ** and ***, **** iv. Conduct a hypothesis test, at the 5% level of significance, to determine whether ? is significant. v. What would be the growth of the plant if 4g of fertilizer and 7g of ater was given to it daily? vi. Carry out an F -test at the 1% significance level to determine whether the model is significant
Question One
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.
The regression equation is
Growth = ? + ? Water + ?Fertilizer
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
ii. What is the
iii. Determine the values of *, ** and ***, ****
iv. Conduct a hypothesis test, at the 5% level of significance, to determine whether ? is significant.
v. What would be the growth of the plant if 4g of fertilizer and 7g of ater was given to it
daily?
vi. Carry out an F -test at the 1% significance level to determine whether the model is
significant
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