TSU TSU Econometrics Option 8

Option 8.
Objective 1.
There is information on the 10 wholesale trade enterprises of the sales volume relative to the size of retail space:

1. Estimate the coefficients of linear regression by least squares method.
2. Check the statistical significance of the theoretical estimates of the coefficients of the level of significance.
3. Calculate the 95% confidence intervals for the theoretical regression coefficients.
4. Predict the volume of sales in the amount of retail space and calculate the 95% confidence interval for the conditional expectation.
5. Calculate the limit of the range, which will focus at least 95% of the possible sales volumes on revenues.
6. Estimate how many units will change the volume of sales, if the area will increase by 100.
7. Calculate the coefficient of determination.
8. Calculate - Statistics for the coefficient of determination and evaluate its statistical significance.
Objective 2.
There is evidence of the dynamics of the turnover of retail trade and consumer prices in the region for two years. Using the method Sh.Almon rate parameters of the model distributed lag. The length of the lag select no more than 4, the degree of approximating polynomial - no more than 3. Rate the quality of the constructed model.
Monthly retail trade turnover,
% To the previous month consumer price index,
% To the previous month
January 70.8 101.7
February 98.7 101.1
March 97.9 100.4
April 100.1 99.6
May 96.1 100.0
June 103.4 100.1
July 95.5 100.0
August 102.9 105.8
September 77.6 145.0
October 102.3 99.8
November 102.9 102.7
December 123.1 109.4
January 74.3 110.0
February 92.9 106.4
March 106.0 103.2
April 103.2 99.8
May 105.2 102.9
June 99.7 100.8
July 99.7 101.6
August 107.9 101.5
September 98.8 101.4
October 104.6 101.7
November 106.4 101.7
December 122.7 101.2

Objective 3
(1) - theoretical regression equation
(2) - an empirical regression equation.
Which of the equations, and why it's better describes the sample data?
Task 4
If you build a model where profit, revenue, costs, how will the coefficient of determination?