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 = ß + $ Water + aFertilizer Predictor Coef SE Coef T 42.085 3.118 0.009 ** Constant Water 0.178 0.386 0.460 0.654 Fertilizer 5.790 0.952 6.083 S = 6.159 R-Są 77.1%% R-Sq (adj) = 73.3% %3D %3D Analysis of Variance Source DF MS F P Regression Residual Error 12 2 1532.603 766.301 *** **** 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.
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 = ß + $ Water + aFertilizer Predictor Coef SE Coef T 42.085 3.118 0.009 ** Constant Water 0.178 0.386 0.460 0.654 Fertilizer 5.790 0.952 6.083 S = 6.159 R-Są 77.1%% R-Sq (adj) = 73.3% %3D %3D Analysis of Variance Source DF MS F P Regression Residual Error 12 2 1532.603 766.301 *** **** 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 4SGR
Related questions
Question
Answer sections i, ii and iii
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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