TSU Theory Statistics Option 5 TSU control

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Theory of Statistics TSU Option 5
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Theory of Statistics TSU Option 5
As a result, 1% of the survey sample (random, repetition-free selection) companies producing produk¬tsiyu the same name, the following information:

In fact, the plant number produced goods,
thous. rub. The total cost of production,
thous. rub.
1 72 42
2 75 46
3 64 36
4138 66
22 May 30
6 103 59
7 50 33
8 87 47
9136 66
10 53 32
11 51 35
12 58 30
13 62 32
14 30 18
15 100 57
16 114 59
17 50 33
18, November 20
19 90 54
20 142 70
21 77 44
22 63 40
23 86 49
24 106 57
25 98 52

A statistical analysis of the data. For this purpose:

I.
1. Build a statistical distribution series of plants by the sum of production costs, creating four groups with equal intervals. Plot number distribution.

2. Calculate the number of distribution characteristics of plants on the sum of production costs: the arithmetic mean, the average linear deviation, mean square otklo¬nenie, variance, coefficient of variation. In calculating the arithmetic mean and standard deviation primeni¬te method of moments.
Draw conclusions.

II.
I. With a probability of 0.997, determine the amount of sampling error of average production costs and the border, which will be the sum of production costs in gene¬ralnoy together.
2. With a probability of 0.954, determine the proportion of error plants for which the sum of production costs exceed 60 thousand., Rbl., And the border, which will be the proportion in the general sovo¬kupnosti.
Draw conclusions.

III.
1. The method of analysis groups set the nature of the relationship between the volume of output and the amount of the cost of its production. The results are formalized in the table. Draw conclusions.
2. Measure the closeness of correlation between the volume of production and the amount pro¬izvedennoy costs of its production em¬piricheskim correlations. Explain its meaning.
3. Calculate the parameters of a linear equation of the relationship between the volume of production and the amount of the cost of its proiz¬vodstvo. Explain the meaning of the regression coefficient.
4. Calculate the theoretical correlation ratio, poyas¬nite its meaning.
5. Compare the results of the analysis due by analytical grup¬pirovki and regression-correlation method.
Draw conclusions.