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 = B + Water + aFertilizer Predictor Coef SE Coef 42.085 0.178 3.118 0.460 0.009 0.654 Constant ** Water 0.386 Fertilizer 5.790 0.952 6.083 S - 6.159 R-Sq - 77.18% R-Sq (adj) = 73.3% Analysis of Variance Source DF MS F Regression Residual Error 12 455.130 2 1532.603 766.301 37.928 *** **** Total 14 1987.733 i. Write out the regression equation ii. What is the sample size used in this investigation? Determine the values of ", ** and ***, **** Conduct a hypothesis test, at the 5% level of significance, to determine whether o significant. iii. iv.

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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 = B + $ Water + aFertilizer
Predictor
Coef
SE Coef
T
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%8
R-Sq (adj) = 73.38
Analysis of Variance
Source
DF
SS
MS
F
P
766.301
Regression
Residual Error 12 455.130
2
1532.603
***
****
37.928
Total
14 1987.733
Write out the regression equation
ii.
i.
What is the sample size used in this investigation?
Determine the values of *, ** and ***, ****
Conduct a hypothesis test, at the 5% level of significance, to determine whether o is
significant.
iii.
iv.
Transcribed Image Text: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 = B + $ Water + aFertilizer Predictor Coef SE Coef T 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%8 R-Sq (adj) = 73.38 Analysis of Variance Source DF SS MS F P 766.301 Regression Residual Error 12 455.130 2 1532.603 *** **** 37.928 Total 14 1987.733 Write out the regression equation ii. i. What is the sample size used in this investigation? Determine the values of *, ** and ***, **** Conduct a hypothesis test, at the 5% level of significance, to determine whether o is significant. iii. iv.
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