Three types of fertilizer are to be tested to see which one yields more corn crop. Forty similar plots of land were available for testing purposes. The 40 plots are divided at random into four groups, 10 plots in each group. Fertilizer 1 was applied to each of the 10 corm plots in Group 1. Similarly. Fortilizers 2 and 3 were applied to the plots in Groups 2 and 3, respectively. The corn plants in Group 4 were not given any fertizer; it will serve as the control group. The data is given below. Yield Fertilizer 34 34 34 F1 Control Control Control Control Control Control Control 29 20 25 35 29 Control Control Suppose we created three dummy variables FertilizerF1, FertilizerF2, FertilizerF3, one for each of the fertilizer groups and we fit the model Yield - beta0 + betal FertilizerF1 + beta2 FertilizerF2 + beta3 FertilizerF3+ epsilon
Three types of fertilizer are to be tested to see which one yields more corn crop. Forty similar plots of land were available for testing purposes. The 40 plots are divided at random into four groups, 10 plots in each group. Fertilizer 1 was applied to each of the 10 corm plots in Group 1. Similarly. Fortilizers 2 and 3 were applied to the plots in Groups 2 and 3, respectively. The corn plants in Group 4 were not given any fertizer; it will serve as the control group. The data is given below. Yield Fertilizer 34 34 34 F1 Control Control Control Control Control Control Control 29 20 25 35 29 Control Control Suppose we created three dummy variables FertilizerF1, FertilizerF2, FertilizerF3, one for each of the fertilizer groups and we fit the model Yield - beta0 + betal FertilizerF1 + beta2 FertilizerF2 + beta3 FertilizerF3+ epsilon
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Three types of fertilizer are to be tested to see which one yields more corn crop. Forty similar plots of land were available for testing purposes. The 40
plots are divided at random into four groups, 10 plots in each group. Fertilizer 1 was applied to each of the 10 com plots in Group 1. Similarly,
Fertilizers 2 and 3 were applied to the plots in Groups 2 and 3, respectively. The corn plants in Group 4 were not given any fertilizer; it will serve as
the control group. The data is given below.
Yield Fertilizer
F1
F1
F1
31
34
34
34
F3
F3
Control
Control
Control
Control
Control
Contral
Control
Control
Control
Control
33
27
35
25
29
28
25
48
35
29
Suppose we created three dummy variables FertilizerF1, FertilizerF2, FertilizerF3, one for each of the fertilizer groups and we fit the model
Yield - betao + betal " FertilizerF1 + beta2"FertilizerF2 + beta3"FertilizerF3 + epsilon
** Call:
ve Im(farnula - Yield - Fertilizer, data - corn)
* Residuals:
Nin
w -9.888 -2.825 -0.600 3.125 10.200
10 Nedion
30
Мах
e Coefficients:
** (Intercept)
** Fertilizerfi
** FertilizerF2
** FertilizerF3
Estinote Std. Error t value Pr(>It1)
29.800
6.80e
8.100
5.100
1.533 19.442 <2e-16
2.168 3.137
2.168
2.168 2.353
台.0054
0.046
0.9635
e.0242
* Residual standard error: 4.847 on 36 degrees of freedom
** Multiple R-squared: 0.3001, Adjusted R-squored: 8.2417
** F-statistic: s.144 on 3 and 36 DF, p-volue: 0.004685
We want to test whether any of the three types of fertilizer has an effect on corn crops compared to the control. Specify
(a) the null and alternative hypotheses to be tested in terms of the MLR regression coefficients printed above,
15) the test statistic used, and
(c) your conclusion at the 5% significance level.
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