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The first three columns in the file $ wa\_wheat $ contain observations on wheat yield in the Western Australian shires Northampton, Chapman Valley, and Mullewa, respectively. There are 48 annual observations for the years 1950 - 1997. The name of the varibale that contains data on the crop yields of the Chapman Valley Shire is called chapman . For the Chapman Valley Shire, consider the four itens below: The tasks performed in this exercise requires the commands discussed in the Notebook Week_5_Econ_103_Lab_Class 2021.ipynb Please study the Notebook before attempting the question. (a) This item consistis of three tasks where Y syands for crop yield of the Chapman Valley Shire: (a.1) Estimate the Linear model Y = ẞ₁ + B₂time + € (a.2) Plot the residuals of the regression (for commands, you can check Section 1 of Week_5_Econ_103_Lab_Class_Part_II.ipynb) (a.3) Test the normality of the residuals using the Jarque-Bera test (for Jarque-Bera test commands, see Section 3 of Week_5_Econ_103_Lab_Class_Part_II.ipynb) (b) This item consistis of three tasks in the same fashion as in the item (a): (b.1) Estimate the Linear-log model Y = = a1a2 log(time) + € (b.2) Plot the residuals of the regression (b.3) Test the normality of the residuals using the Jarque-Bera test (For commands related to the estimation of the Linear-log model, see Section 3 of Week_5_Econ_103_Lab_Class_Part_I. ipynb) (for Jarque-Bera test commands, see Section 3 of Week_5_Econ_103_Lab_Class_Part_II. ipynb) (c) Taking into consideration (i) plots of the fitted equations, (ii) plots of the residuals, (iii) error normality tests, and (iv) values for R², which equation do you think is preferable? (This is a theoretical question, no code needed)

The first three columns in the file $ wa\_wheat $ contain observations on wheat yield in the Western Australian shires Northampton, Chapman Valley, and Mullewa, respectively. There are 48 annual observations for the years 1950 - 1997. The name of the varibale that contains data on the crop yields of the Chapman Valley Shire is called chapman . For the Chapman Valley Shire, consider the four itens below: The tasks performed in this exercise requires the commands discussed in the Notebook Week_5_Econ_103_Lab_Class 2021.ipynb Please study the Notebook before attempting the question. (a) This item consistis of three tasks where Y syands for crop yield of the Chapman Valley Shire: (a.1) Estimate the Linear model Y = ẞ₁ + B₂time + € (a.2) Plot the residuals of the regression (for commands, you can check Section 1 of Week_5_Econ_103_Lab_Class_Part_II.ipynb) (a.3) Test the normality of the residuals using the Jarque-Bera test (for Jarque-Bera test commands, see Section 3 of Week_5_Econ_103_Lab_Class_Part_II.ipynb) (b) This item consistis of three tasks in the same fashion as in the item (a): (b.1) Estimate the Linear-log model Y = = a1a2 log(time) + € (b.2) Plot the residuals of the regression (b.3) Test the normality of the residuals using the Jarque-Bera test (For commands related to the estimation of the Linear-log model, see Section 3 of Week_5_Econ_103_Lab_Class_Part_I. ipynb) (for Jarque-Bera test commands, see Section 3 of Week_5_Econ_103_Lab_Class_Part_II. ipynb) (c) Taking into consideration (i) plots of the fitted equations, (ii) plots of the residuals, (iii) error normality tests, and (iv) values for R², which equation do you think is preferable? (This is a theoretical question, no code needed)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The first three columns in the file $ wa\_wheat $ contain observations on wheat yield in the Western Australian shires Northampton, Chapman Valley, and Mullewa, respectively. There are 48 annual observations for the years 1950 - 1997. The name of the varibale that contains data on the crop yields of the Chapman Valley Shire is called chapman . For the Chapman Valley Shire, consider the four itens below: The tasks performed in this exercise requires the commands discussed in the Notebook Week_5_Econ_103_Lab_Class 2021.ipynb Please study the Notebook before attempting the question. (a) This item consistis of three tasks where Y syands for crop yield of the Chapman Valley Shire: (a.1) Estimate the Linear model Y = ẞ₁ + B₂time + € (a.2) Plot the residuals of the regression (for commands, you can check Section 1 of Week_5_Econ_103_Lab_Class_Part_II.ipynb) (a.3) Test the normality of the residuals using the Jarque-Bera test (for Jarque-Bera test commands, see Section 3 of Week_5_Econ_103_Lab_Class_Part_II.ipynb) (b) This item consistis of three tasks in the same fashion as in the item (a): (b.1) Estimate the Linear-log model Y = = a1a2 log(time) + € (b.2) Plot the residuals of the regression (b.3) Test the normality of the residuals using the Jarque-Bera test (For commands related to the estimation of the Linear-log model, see Section 3 of Week_5_Econ_103_Lab_Class_Part_I. ipynb) (for Jarque-Bera test commands, see Section 3 of Week_5_Econ_103_Lab_Class_Part_II. ipynb) (c) Taking into consideration (i) plots of the fitted equations, (ii) plots of the residuals, (iii) error normality tests, and (iv) values for R², which equation do you think is preferable? (This is a theoretical question, no code needed)
Transcribed Image Text:The first three columns in the file $ wa\_wheat $ contain observations on wheat yield in the Western Australian shires Northampton, Chapman Valley, and Mullewa, respectively. There are 48 annual observations for the years 1950 - 1997. The name of the varibale that contains data on the crop yields of the Chapman Valley Shire is called chapman . For the Chapman Valley Shire, consider the four itens below: The tasks performed in this exercise requires the commands discussed in the Notebook Week_5_Econ_103_Lab_Class 2021.ipynb Please study the Notebook before attempting the question. (a) This item consistis of three tasks where Y syands for crop yield of the Chapman Valley Shire: (a.1) Estimate the Linear model Y = ẞ₁ + B₂time + € (a.2) Plot the residuals of the regression (for commands, you can check Section 1 of Week_5_Econ_103_Lab_Class_Part_II.ipynb) (a.3) Test the normality of the residuals using the Jarque-Bera test (for Jarque-Bera test commands, see Section 3 of Week_5_Econ_103_Lab_Class_Part_II.ipynb) (b) This item consistis of three tasks in the same fashion as in the item (a): (b.1) Estimate the Linear-log model Y = = a1a2 log(time) + € (b.2) Plot the residuals of the regression (b.3) Test the normality of the residuals using the Jarque-Bera test (For commands related to the estimation of the Linear-log model, see Section 3 of Week_5_Econ_103_Lab_Class_Part_I. ipynb) (for Jarque-Bera test commands, see Section 3 of Week_5_Econ_103_Lab_Class_Part_II. ipynb) (c) Taking into consideration (i) plots of the fitted equations, (ii) plots of the residuals, (iii) error normality tests, and (iv) values for R², which equation do you think is preferable? (This is a theoretical question, no code needed)
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