# TSU Econometrics Option 9 control

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TSU Econometrics Option 9 control

Objective 1.
There is information on the 10 wholesale trade enterprises of the sales volume relative to inventories:

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 commodity stocks and calculate the 95% confidence interval for the conditional expectation.
5. Calculate the boundary interval which will concentrate at least 95% of potential sales volumes in inventory levels.
6. Estimate how many units will change the volume of sales, if the inventory will increase by 1.
7. Calculate the coefficient of determination.
8. Calculate - Statistics for the coefficient of determination and evaluate its statistical significance.
Objective 2.
The company uses two machines companies (A, B). We study the reliability of these machines. Taken into account the age of the machine (in months) and time (in hours) of trouble-free operation until the last failure. A sample of 36 machines gave the following results.
Firm

Firm

A 23,280 A 52,200
A 69,176 A 66,123
A 63,176 A 20,245
A 52,200 A 48,236
A 66,123 30,230 In
On 20 245 25 216
A 48 236 75 B 45
And on 25 240 20 265
And 71 115 40 176
While 40 225 25 260
And on 30 260 69 65
A 75 100 B 45 126
And 56 170 69 45
While 37 240 22 220
A 67 120 B 33 194
On 23 280 21 240
While 69 176 50 120
A 63 176 56 88

Rate the regression equation, which takes into account the difference of quality machines of different firms.
Objective 3
Output directly to the method of least squares formula to estimate the slope coefficient in the regression without intercept, ie An estimate of the regression parameter in minimizing the sum of squared deviations.