Econometrics EN-93 Tantalum RIU Option 1

INITIAL DATA

Economist, studying the dependence of the level of distribution costs at the (thous. Rub.) Of the volume of trade x (thous. Rub.), Examined 10 shops selling the same range of products in different regions.
The data obtained are shown in Table 1:
Table 1
Option 1
x y
80 4.2
60 4.9
100 7.2
130 9.1
120 6.4
50 3.9
90 5.1
150 8.4
70 3.5
125 8.7

According to the table, perform the following tasks:
Task 1. Draw a point scatterplot and specify the hypothesis of a link.
Task 2. Determine the parameters of the linear regression function and record a linear relationship.
Task 3. Plot the regression on the scatterplot and draw a conclusion about the adequacy of the constructed model.
Task 4. Find the correlation coefficient and the coefficient of determination of this dependence. Confirm whether the conclusions about the form of communication and the adequacy of the model.
Task 5. Determine the reliability of the regression coefficients by Student's test.
Task 6. Explore the regression on the reliability of the Fisher test at a significance level of 0.05.
Task 7. Find the elasticity of y with respect to x, with an average value of x.
Task 8. Calculate the average value of the expected costs of turnover of 115 thousand. Rub.
Task 9. Rate forecast error at a significance level of 0.05.
Task 10. Construct confidence intervals for the forecast of the significance level of 0.05.
Econometrics EN-93 Tantalum RIU Option 1
Econometrics EN-93 Tantalum RIU Option 1
Econometrics EN-93 Tantalum RIU Option 1