Regression Analysis: Growth versus Water, Fertilizer The regression equation is Growth = B + ¢ Water + aFertilizer Predictor Coef SE Coef T 42.085 0.009 Constant ** 3.118 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 Residual Error 1532.603 766.301 大★★ **** 12 455.130 37.928 Total 14 1987.733 Write out the regression equation What is the sample size used in this investigation? Determine the values of * ** and *** **** i. ii. iii. Conduct a hypothesis test, at the 5% level of significance, to determine whether o is significant. iv. What would be the growth of the plant if 4g of fertilizer and 7g of ater was given to it daily? Carry out an F -test at the 1% significance level to determine whether the model is significant V. vi.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4: Estimating Demand
Section: Chapter Questions
Problem 8E
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Answer part sections iv, v and vi

Question Four
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
0.009
**
3.118
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
1532.603
766.301
オ★★
****
Residual Error
12
455.130
37.928
Total
14
1987.733
Write out the regression equation
What is the sample size used in this investigation?
Determine the values of *, ** and *** ****
i.
ii.
iii.
Conduct a hypothesis test, at the 5% level of significance, to determine whether o is
significant.
iv.
What would be the growth of the plant if 4g of fertilizer and 7g of ater was given to it
daily?
Carry out an F -test at the 1% significance level to determine whether the model is
significant
V.
vi.
Transcribed Image Text:Question Four 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 0.009 ** 3.118 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 1532.603 766.301 オ★★ **** Residual Error 12 455.130 37.928 Total 14 1987.733 Write out the regression equation What is the sample size used in this investigation? Determine the values of *, ** and *** **** i. ii. iii. Conduct a hypothesis test, at the 5% level of significance, to determine whether o is significant. iv. What would be the growth of the plant if 4g of fertilizer and 7g of ater was given to it daily? Carry out an F -test at the 1% significance level to determine whether the model is significant V. vi.
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