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Econometrics

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Uploaded: 15.10.2013
Content: 31015165248070.rar 124 kB

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Task №1

The analysis of the relationship of X number of population (million people.). And the number of practitioners Y (thou. Pers.) For the ten-year period:

Year 1 2 3 4 5 6 7 8 9 10

X 10.0 10.3 10.4 10.55 10.6 10.7 10.75 10.9 10.9 11.0

Y 12.1 12.6 13.0 13.8 14.9 16.0 18.0 20.0 21.0 22.0

According to the table:

a) to find a regression equation for X and Y to clarify the meaning of the regression coefficients b0 and b1;

b) to evaluate the tightness and direction of the relationship between variables X and Y using the coefficient of correlation;

c) assess the level of significance ? = 0.05 significance of the regression equation Y on X using the F test;

d) to assess the level of significance ? = 0.05 significance of the regression coefficients ?0 and ?1 (regression equation for Y X) using the t test;

d) Find the coefficient of determination and explain its meaning;

e) to evaluate the 95% confidence interval for the mean number of medical practitioners for the number of population 11.5 (million. pers.);

g) Find the 95% confidence interval for the number of individual values \u200b\u200bfor the number of practitioners of the population 11.5 (million. pers.);

h) reliability found 0.95 interval estimate for regression coefficients ?0 and ?1;

and) find a 0.95 reliability interval estimate of the residual variance.

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