Econometrics 10 version TSU

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Econometrics 10 version TSU

Problem 1. Information is available for 10 years, relative to the average income of the average consumption of X and Y (bln. Rub.):
years 90 91 92 93 94 95 96 97 98 99
X 10.5 11.6 12.3 13.7 14.5 16.1 17.3 18.7 20.1 21.8
At 8,115 8,409 10.03 12.07 12.44 11.35 12.76 13.92 17.28 17.49
1. Assess the linear regression coefficients = β0 + y + ε β1h least squares.
2. Check the statistical significance of the estimates of b0 and b1 theoretical coefficients β0 and β1 at a significance level α = 0,05.
3. Calculate the 95% confidence intervals for the theoretical regression coefficients.
4. Predict the consumption of an income x = 23 and calculate the 95% confidence interval for the conditional expectation M (y | x = 23).
5. Calculate the limit of the range, which will focus at least 95% of the possible consumption volumes on revenue x = 23.
6. Evaluate how consumption will change if the income will grow by 3 million.
7. Calculate the coefficient of determination R².
8. Calculate the F-statistics for the coefficient of determination and evaluate its statistical significance.

Additional information

Objective 2. There follows the Keynesian model such as:
The variables C, I, T, Y are endogenous. Determine whether each of the identified model equations. Write a reduced form model.

Objective 3. To assess the coefficients of the regression equation y = β0 + β1h1 β2h2 + + ε computation carried out in a matrix form.
Determine the empirical regression coefficients.

Objective 4. The coefficient of determination between the variables X and Y is equal to the correlation coefficient will 0,64.Kakim in a linear regression model?


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