Statistics TSU (6 tasks, 2012,) - 10 option

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Problem 1. The following data on the activities of commercial banks in the reporting year (data conditional):
Number of the bank's own capital,
million. den. u
The balance sheet profit,
million. den. u
Number of the bank's own capital,
million. den. u
The balance sheet profit,
million. den. u

1 19.7 17.3 11 19.1 17.6
2 59.0 22.8 12 15.0 11.8
3 46.5 18.4 13 23.5 14.0
4 29.2 12.6 14 18.3 12.2
5 58.1 42.0 15 18.8 14.8
6 48.0 29.0 16 35.5 21.6
7 25.5 21.6 17 44.7 29.4
8 24.7 19.4 18 54.8 49.4
9 24.8 19.4 19 27.2 16.6
10 22.2 13.6 20 19.7 15.6

According to the table make a grouping of commercial banks in terms of equity, divided into four groups with equal intervals. Calculate for each group of retained earnings. The data obtained calculate the empirical correlation ratio, explain its meaning. Determine the closeness of the relationship between the grouping (quotient) and scoring features, then there is a connection between the amount of equity and the balance sheet profit.

Problem 2. Determine the structure, dynamics and the absolute increase in population of Tyumen region in 2006. and 2009. Draw conclusions.
2006 regions. 2009.
Tyumen region 3323303 3398921
KhMAO 1478178 1519962
YaNAO 530655 543651
Tyumen region
(Without autonomous districts) 1,314,470 1,335,308
Source. [Http: \\\\ www / gks.ru]

Problem 3. For the purpose of determining the actual working hours in a public institution with the number of employees 240 people was carried out 20% of the sample manual. As a result of monitoring it was found that in 5% of patients lost time reached more than half a day. With a probability of 0, 683, set limits, which is the general proportion of employees with loss of working time more than half a day.

Task 4. Using the data, calculate for each year:
-saldo migration and volume migration;
the coefficient of mechanical growth;
the coefficient of migration turnover;
coefficient of efficiency of migration.
-structure of arrivals and departures.
The decision to issue in the table. Draw conclusions.
2004. 2005. 2006. 2007. 2008.
Population - total, thousand pers. 144168 143474 142754 142221 142009
International migration (people)
2004. 2005. 2006. 2007. 2008.
Arrived in the Russian Federation - total (pers.) 119 157 177 230 186 380 286 956 281 614
including:
CIS 110374 168598 177657 273872 269976
from foreign countries 8783 8632 8723 13084 11638
Retired from the Russian Federation - total (pers.) 79795 69798 54061 47013 39508
including:
CIS countries 37017 36109 35262 31329 26114
to foreign countries 42778 33689 18799 15684 13394
Source. [Http: \\\\ www / gks.ru]

Problem 5. There contingent on the number of products and its cost on a group of companies:

number of enterprise products, thousand units the cost of 1 pcs., monetary units
the base period of the current period the reference period current period
January 23 18 40 43
2 45 51 67 63
3 37 48 140 125
4 39 36 106 99
Analyze the absolute and relative changes in the average cost due to two factors:
-changes cost;
• Changes in the structure of production.
The decision to issue in the table. Draw conclusions.

Problem 6. The gross regional product (GRP) in current prices and index-deflator GRP two years were as follows:
Indicator Reference period Reporting period
GRP at current prices, mln. Rub. 10400 13338
GRP deflator,% 111 115
Define:
-The percentage change GRP in constant prices in the reporting period compared with baseline;
-On what amount (mln. rubles.) GRP changed under the influence of price changes.

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