The President of the Farmers Association wants to know how the amount of fertilizer and theamount of water given to plants affect their growth. The results were inputted into MINITABS0 as to fit the model. Regression Analysis: Growth versus Water, Fertilizer The regression equation is Growth B + ¢ Water + aFertilizer Predictor Coef SE Coef T 3.11 8. 0.46 42.085 0.00 9. ).65 4 Constant ** Water 0.178 0.386 Fertilizer 5.790 0.952 6.08 S 6.159 R-Sq = 77.1%% R-Sq(adj) 73.3% Analysis of Variance Source DF SS MS 766.30 F P Regression 1532.60 3 12 455.130 ** *** Residual Error Total 37.928 14 1987.73 3 Conduct a hypothesis test, at the 5% level of significance, to determine whether o is significant. i. What would be the growth of the plant if 4g of fertilizer and 7g of water was given to itdaily? Carry out an F -test at the 1% significance level to determine whether the model is significant ii. iii.

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Author:Amos Gilat
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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 MINITABSO as to fit the model.
Regression Analysis: Growth versus Water, Fertilizer
The regression equation is
Growth
B + Ø Water + æFertilizer
Predictor
Соef
SE Coef
T
42.085
3.11
0.00
Constant
**
0.178
0.386
0.46
0.65
4
Water
6.08
3
Fertilizer
5.790
0.952
S = 6.159 R-Sq
77.1%% R-Sq(adj)
73.3%
Analysis of Variance
Source
MS
DF
2
SS
F
Regression
1532.60 766.30
**
***
3
12 455.130
1
37.928
Residual
Error
Total
14 1987.73
3
Conduct a hypothesis test, at the 5% level of significance, to determine
whether o is significant.
i.
What would be the growth of the plant if 4g of fertilizer and 7g of water
was given to itdaily?
Carry out an F -test at the 1% significance level to determine whether the
model is significant
ii.
iii.
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 MINITABSO as to fit the model. Regression Analysis: Growth versus Water, Fertilizer The regression equation is Growth B + Ø Water + æFertilizer Predictor Соef SE Coef T 42.085 3.11 0.00 Constant ** 0.178 0.386 0.46 0.65 4 Water 6.08 3 Fertilizer 5.790 0.952 S = 6.159 R-Sq 77.1%% R-Sq(adj) 73.3% Analysis of Variance Source MS DF 2 SS F Regression 1532.60 766.30 ** *** 3 12 455.130 1 37.928 Residual Error Total 14 1987.73 3 Conduct a hypothesis test, at the 5% level of significance, to determine whether o is significant. i. What would be the growth of the plant if 4g of fertilizer and 7g of water was given to itdaily? Carry out an F -test at the 1% significance level to determine whether the model is significant ii. iii.
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