Question
The following data (on the left) is a subset of data obtained in an experiment to study the relationship between x (soil pH) and y(A1
The following data (on the left) is a subset of data obtained in an experiment to study the relationship between x (soil pH) and y(A1 Concentration). Run an analysis to determine the best fit model that has the highest coefficient of determination between the following models (Exponential, Linear, Logarithmic, Polynomial 2, Polynomial 3 and Power). Use excel to conduct the analysis. Answer the following questions:
PLEASE, SHOW THE STEP BY STEP AND EXCELCOMMANDS,
THANKS
a. Which model provides the best fit?
b. What is the linear or nonlinear equation associated with this best fit model?
c. Using the best fit model equation, what is the predicted value of A1 Concentration for a pH value of 4.5 and the corresponding residual
d. Provide an ANOVA table for this best fit model.
e. From the ANOVA table, is there a relationship between the independent and dependent variable. Test at alpha equal to .05?
f. Conduct a utility test at the alpha equal .05 level to determine if the x variable contributes to model relationship. Does the x variable contribute to the relationship of x and y? Why or why not?
g. Conduct a utility test at the alpha equal .05 level to determine if the constant value contributes to model relationship. Does the constant value contribute of x and y? Why or why not?
x (Soil pH) | y (A1 conc) |
4.01 | 1.20 |
4.07 | 0.78 |
4.08 | 0.83 |
4.10 | 0.98 |
4.18 | 0.65 |
4.20 | 0.76 |
4.23 | 0.40 |
4.27 | 0.45 |
4.30 | 0.39 |
4.41 | 0.30 |
4.45 | 0.20 |
4.50 | 0.24 |
4.58 | 0.10 |
4.68 | 0.13 |
4.70 | 0.07 |
4.77 | 0.04 |
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