1. Regression and Correlation Analysis
Practice-8
Additional chapters of mathematics
Dmitriy Sergeevich Nikitin
Assistant
Tomsk Polytechnic University

2. Task 2
Find the 95% confidence interval for the regression coefficient in the linear model xi yi 2

3. Task 3
Find the 95% confidence interval for the mean of y for x = 4 in the linear model xi yi 3

4. Task 4
Electrical energy consumption varies considerably across the provinces of Russia. There are many variables that might affect energy consumption. One of the main factors that is likely to affect energy consumption is the population size. Use the data in Table to obtain the correlation coefficient and regression line relating population size and electrical energy consumption. 4

5. Task 4 Provinces Population, mln Consumption, bln kWt.h
Central Federal District
39,21
225,09
Northwestern Federal District
13,90
113,89
Southern Federal District
16,43
68,74
North Caucasus Federal District
9,78
24,67
Volga Federal District
29,64
201,02
Ural Federal district
12,35
185,45
Siberian Federal District
19,33
221,55
Far Eastern Federal District
6,18
48,69
146,80
1089,10 5