(1) Write out the regression equation (2) What is the sample size used in this investigation? (3) Determine the values of *, ** and ***, **** 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 MINITABso as to fit the model.Regression Analysis: Growth versus Water, FertilizerThe regression equation isGrowth = ß + $ Water + aFertilizerPredictorСoefSE CoefTPConstant42.0853.1180.009**Water0.1780.3860.4600.654Fertilizer5.7900.9526.0836.159R-Sq77.1%%R-Sq (adj)= 73.3%Analysis of VarianceSourceDFMSFPRegressionResidual Error21532.603766.301*******12455.13037.928Total141987.733

1) From the output, the coefficient of constant is 42.085

(1) Write out the regression equation (2) What is the sample size used in this investigation? (3) Determine the values of *, ** and ***, ****

(1) Write out the regression equation (2) What is the sample size used in this investigation? (3) Determine the values of , and , ****

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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Question

(1) Write out the regression equation
(2) What is the sample size used in this investigation?
(3) Determine the values of *, ** and ***, ****

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
Сoef
SE Coef
T
P
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%
Analysis of Variance
Source
DF
MS
F
P
Regression
Residual Error
2
1532.603
766.301
***
****
12
455.130
37.928
Total
14
1987.733

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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