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Regression Analysis: Growth versus Water, Fertilizer The regression equation is Growth = B + 0 Water + aFertilizer Predictor Сoef 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 * 6.159 R-Sq 77.1%% R-Sq (adj) = 73.3% S = Analysis of Variance Source DF SS MS F Regression 1532.603 766.301 *** **** Residual Error 12 455.130 37.928 Total 14 1987.733

Regression Analysis: Growth versus Water, Fertilizer The regression equation is Growth = B + 0 Water + aFertilizer Predictor Сoef 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 * 6.159 R-Sq 77.1%% R-Sq (adj) = 73.3% S = Analysis of Variance Source DF SS MS F Regression 1532.603 766.301 *** **** Residual Error 12 455.130 37.928 Total 14 1987.733

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The Mayor of texas whom is partners with a local agriculturalist 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

a) Write out the regression equation 

b) What is the sample size used in this investigation? 

c) Determine the values of *, ** and ***, **** 

d) Conduct a hypothesis test, at the 5% level of significance, to determine whether ? is significant.

e) What would be the growth of the plant if 4g of fertilizer and 7g of ater was given to it daily? 

f)  Carry out an F -test at the 1% significance level to determine whether the model is significant

 

Regression Analysis: Growth versus Water, Fertilizer The regression equation is Growth B + Ø Water + aFertilizer Predictor Соef 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%% R-Sq (adj) 73.3% Analysis of Variance Source DF SS MS F P Regression Residual Error 1532.603 766.301 *** **** 12 455.130 37.928 Total 14 1987.733
Transcribed Image Text:Regression Analysis: Growth versus Water, Fertilizer The regression equation is Growth B + Ø Water + aFertilizer Predictor Соef 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%% R-Sq (adj) 73.3% Analysis of Variance Source DF SS MS F P Regression Residual Error 1532.603 766.301 *** **** 12 455.130 37.928 Total 14 1987.733
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