Econometrics: Problem 0001
Replenishment date: 02.09.2014
Content: econometrika_zadacha1.doc (250.5 KB)
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Description
Plotting Paired Linear Regression
Initial data requires:
1. Construct a correlation field and formulate a hypothesis about the form of communication.
2. Calculate the parameters of the linear regression equations.
3. Assess the tightness of communication using the indicators of correlation and determination.
4. Using the average (general) coefficient of elasticity, give a comparative assessment of the strength of the relationship between the factor and the result.
5. Estimate the quality of the equations using the average approximation error.
6. Evaluate the statistical reliability of the results of regression modeling using F - Fisher's test and t - Student's test.
7. Calculate the predicted value of the result if the predicted value of the factor increases by 7% from its average level. Determine the forecast confidence interval for the significance level = 0,05.
8. Evaluate the results obtained, draw up conclusions in an analytical note.
Initial data for task 1:
Description 1 2 3 4 5 6 7 8 9 10
Food consumption, 5422 6487 6822 4022 4982 5647 5548 5247 5311 5189
rubles, (y)
Per capita income, 18775 22989 25645 12850 15800 20354 19887 17565 18201 16545
rubles, (x)
Note to the task:
In the solution, all intermediate calculations in Table 2 are performed automatically. You just need to double-click the left mouse button to activate this table and enter your initial data in the cells of the Y and X columns. All other indicators in this table will be recalculated automatically. Use the data obtained in this table in all formulas of the problem. Thus, this task can be recalculated for any option!
Initial data requires:
1. Construct a correlation field and formulate a hypothesis about the form of communication.
2. Calculate the parameters of the linear regression equations.
3. Assess the tightness of communication using the indicators of correlation and determination.
4. Using the average (general) coefficient of elasticity, give a comparative assessment of the strength of the relationship between the factor and the result.
5. Estimate the quality of the equations using the average approximation error.
6. Evaluate the statistical reliability of the results of regression modeling using F - Fisher's test and t - Student's test.
7. Calculate the predicted value of the result if the predicted value of the factor increases by 7% from its average level. Determine the forecast confidence interval for the significance level = 0,05.
8. Evaluate the results obtained, draw up conclusions in an analytical note.
Initial data for task 1:
Description 1 2 3 4 5 6 7 8 9 10
Food consumption, 5422 6487 6822 4022 4982 5647 5548 5247 5311 5189
rubles, (y)
Per capita income, 18775 22989 25645 12850 15800 20354 19887 17565 18201 16545
rubles, (x)
Note to the task:
In the solution, all intermediate calculations in Table 2 are performed automatically. You just need to double-click the left mouse button to activate this table and enter your initial data in the cells of the Y and X columns. All other indicators in this table will be recalculated automatically. Use the data obtained in this table in all formulas of the problem. Thus, this task can be recalculated for any option!
Additional Information
The problem was handed over for "Excellent"!