# 2 task of econometrics, option 6

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# Description

Objective 1
The table presents data showing the volume of output in th. Rub. (Y) and the average cost of production assets in thousand. Rub.
Company number x Y
1 6.6 7.0
2 2.0 4.5
3 4.7 4.9
4 2.7 2.8
5 3.0 5.5
6 6.1 11.9
7 3.5 2.5
8 4.0 3.5
9 7.0 4.7
10 4.9 1.5
Required
1. Construct a field correlation and formulate a hypothesis about the form of communication.
2. Calculate the parameters of the linear regression of steam
3. Calculate the linear correlation coefficient and the coefficient of elasticity.
4. Assess the quality of the models at the average approximation error and the coefficient of determination.
5. Assess the statistical significance of the regression parameters, and simple correlation coefficient.
6. Calculate the predicted value of the result, if the predictive value of the factor is increased by 100% from its average level.
7. Determine the confidence interval of the forecast for the significance level of 0.05.

Using the values \u200b\u200bof the volume of output (Y) of the table is required
1. Calculate the autocorrelation coefficient of order 1. Infer the presence or absence of autocorrelation.
2. Construct a linear trend equation and give an interpretation of its parameters.
3. Plot the dynamics and the linear trend
4. Calculate the predicted value of the result in the future period of 3
5. Assess the forecast error and build confidence interval for the significance level of 0.05.