Завдання №4
Знайти вибіркові рівняння прямих ліній регресії Y на Х і Х на Y за даними кореляційної таблиці, побудувати їх графічно. Обчислити вибірковий коефіцієнт кореляції і перевірити його значущість при α=0,05.
1. |
X\Y |
15 |
25 |
35 |
45 |
55 |
|
2. |
X\Y |
20 |
30 |
40 |
50 |
60 |
|
|
5 |
2 |
|
|
|
|
|
|
10 |
1 |
|
|
|
|
|
|
10 |
4 |
6 |
|
|
|
|
|
15 |
5 |
6 |
|
|
|
|
|
15 |
|
2 |
3 |
1 |
|
|
|
20 |
|
4 |
7 |
2 |
|
|
|
20 |
|
|
50 |
10 |
4 |
|
|
25 |
|
|
40 |
10 |
5 |
|
|
25 |
|
|
2 |
6 |
7 |
|
|
30 |
|
|
3 |
8 |
6 |
|
|
30 |
|
|
|
|
3 |
|
|
35 |
|
|
|
|
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3. |
X\Y |
25 |
35 |
45 |
55 |
65 |
|
4. |
X\Y |
30 |
40 |
50 |
60 |
70 |
|
|
20 |
2 |
|
|
|
|
|
|
15 |
3 |
|
|
|
|
|
|
25 |
4 |
6 |
|
|
|
|
|
20 |
3 |
5 |
|
|
|
|
|
30 |
|
3 |
6 |
2 |
|
|
|
25 |
|
4 |
8 |
5 |
|
|
|
35 |
|
|
45 |
8 |
4 |
|
|
30 |
|
|
40 |
10 |
4 |
|
|
40 |
|
|
4 |
6 |
7 |
|
|
35 |
|
|
2 |
6 |
7 |
|
|
45 |
|
|
|
|
3 |
|
|
40 |
|
|
|
|
3 |
|
5. |
X\Y |
35 |
45 |
55 |
65 |
75 |
|
6. |
X\Y |
15 |
25 |
35 |
45 |
55 |
|
|
25 |
4 |
|
|
|
|
|
|
5 |
3 |
|
|
|
|
|
|
30 |
2 |
5 |
|
|
|
|
|
10 |
3 |
5 |
|
|
|
|
|
35 |
|
3 |
5 |
2 |
|
|
|
15 |
|
3 |
3 |
1 |
|
|
|
40 |
|
|
45 |
8 |
4 |
|
|
20 |
|
|
50 |
10 |
4 |
|
|
45 |
|
|
5 |
7 |
7 |
|
|
25 |
|
|
2 |
6 |
7 |
|
|
50 |
|
|
|
|
3 |
|
|
30 |
|
|
|
|
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7. |
X\Y |
20 |
30 |
40 |
50 |
60 |
|
8. |
X\Y |
25 |
35 |
45 |
55 |
65 |
|
|
10 |
2 |
|
|
|
|
|
|
20 |
5 |
|
|
|
|
|
|
15 |
4 |
5 |
|
|
|
|
|
25 |
1 |
4 |
|
|
|
|
|
20 |
|
5 |
7 |
2 |
|
|
|
30 |
|
5 |
6 |
2 |
|
|
|
25 |
|
|
41 |
10 |
5 |
|
|
35 |
|
|
45 |
8 |
4 |
|
|
30 |
|
|
2 |
8 |
6 |
|
|
40 |
|
|
4 |
6 |
7 |
|
|
35 |
|
|
|
|
3 |
|
|
45 |
|
|
|
|
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9. |
X\Y |
30 |
40 |
50 |
60 |
70 |
|
10. |
X\Y |
35 |
45 |
55 |
65 |
75 |
|
|
15 |
2 |
|
|
|
|
|
|
25 |
4 |
|
|
|
|
|
|
20 |
4 |
5 |
|
|
|
|
|
30 |
2 |
4 |
|
|
|
|
|
25 |
|
4 |
8 |
6 |
|
|
|
35 |
|
4 |
6 |
3 |
|
|
|
30 |
|
|
43 |
9 |
4 |
|
|
40 |
|
|
44 |
7 |
4 |
|
|
35 |
|
|
1 |
6 |
7 |
|
|
45 |
|
|
5 |
7 |
7 |
|
|
40 |
|
|
|
|
3 |
|
|
50 |
|
|
|
|
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11. |
X\Y |
15 |
25 |
35 |
45 |
55 |
|
12. |
X\Y |
20 |
30 |
40 |
50 |
60 |
|
|
5 |
2 |
|
|
|
|
|
|
10 |
2 |
|
|
|
|
|
|
10 |
4 |
6 |
|
|
|
|
|
15 |
4 |
5 |
|
|
|
|
|
15 |
|
2 |
2 |
3 |
|
|
|
20 |
|
5 |
5 |
1 |
|
|
|
20 |
|
|
51 |
8 |
5 |
|
|
25 |
|
|
42 |
11 |
4 |
|
|
25 |
|
|
2 |
6 |
6 |
|
|
30 |
|
|
3 |
8 |
7 |
|
|
30 |
|
|
|
|
3 |
|
|
35 |
|
|
|
|
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
13. |
X\Y |
4 |
9 |
14 |
19 |
24 |
29 |
14. |
X\Y |
10 |
15 |
20 |
25 |
30 |
35 |
|
10 |
2 |
3 |
|
|
|
|
|
30 |
2 |
6 |
|
|
|
|
|
20 |
|
7 |
3 |
|
|
|
|
40 |
|
4 |
4 |
|
|
|
|
30 |
|
|
2 |
50 |
2 |
|
|
50 |
|
|
7 |
35 |
8 |
|
|
40 |
|
|
1 |
10 |
6 |
|
|
60 |
|
|
2 |
10 |
8 |
|
|
50 |
|
|
|
4 |
7 |
3 |
|
70 |
|
|
|
5 |
6 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
15. |
X\Y |
15 |
20 |
25 |
30 |
35 |
40 |
16. |
X\Y |
5 |
10 |
15 |
20 |
25 |
30 |
|
5 |
4 |
2 |
|
|
|
|
|
20 |
1 |
5 |
|
|
|
|
|
10 |
|
6 |
4 |
|
|
|
|
30 |
|
5 |
3 |
|
|
|
|
15 |
|
|
6 |
45 |
2 |
|
|
40 |
|
|
9 |
40 |
2 |
|
|
20 |
|
|
2 |
8 |
6 |
|
|
50 |
|
|
4 |
11 |
6 |
|
|
25 |
|
|
|
4 |
7 |
4 |
|
60 |
|
|
|
4 |
7 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
17. |
X\Y |
10 |
15 |
20 |
25 |
30 |
35 |
18. |
X\Y |
5 |
10 |
15 |
20 |
25 |
30 |
|
6 |
4 |
2 |
|
|
|
|
|
8 |
2 |
4 |
|
|
|
|
|
12 |
|
6 |
2 |
|
|
|
|
12 |
|
3 |
7 |
|
|
|
|
18 |
|
|
5 |
40 |
5 |
|
|
16 |
|
|
5 |
30 |
10 |
|
|
24 |
|
|
2 |
8 |
7 |
|
|
20 |
|
|
7 |
10 |
8 |
|
|
30 |
|
|
|
4 |
7 |
8 |
|
24 |
|
|
|
5 |
6 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
19. |
X\Y |
2 |
7 |
12 |
17 |
22 |
27 |
20. |
X\Y |
11 |
16 |
21 |
26 |
31 |
36 |
|
10 |
2 |
4 |
|
|
|
|
|
25 |
2 |
4 |
|
|
|
|
|
20 |
|
6 |
2 |
|
|
|
|
35 |
|
6 |
3 |
|
|
|
|
30 |
|
|
3 |
50 |
2 |
|
|
45 |
|
|
6 |
45 |
4 |
|
|
40 |
|
|
1 |
10 |
6 |
|
|
55 |
|
|
2 |
8 |
6 |
|
|
50 |
|
|
|
4 |
7 |
3 |
|
65 |
|
|
|
4 |
7 |
3 |
|
|||||||||||||||
21. |
X\Y |
4 |
9 |
14 |
19 |
24 |
29 |
22. |
X\Y |
5 |
10 |
15 |
20 |
25 |
30 |
|
8 |
3 |
3 |
|
|
|
|
|
11 |
4 |
2 |
|
|
|
|
|
18 |
|
5 |
4 |
|
|
|
|
21 |
|
5 |
3 |
|
|
|
|
28 |
|
|
40 |
2 |
8 |
|
|
31 |
|
|
5 |
45 |
5 |
|
|
38 |
|
|
5 |
10 |
6 |
|
|
41 |
|
|
2 |
8 |
7 |
|
|
48 |
|
|
|
4 |
7 |
3 |
|
51 |
|
|
|
4 |
7 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
23. |
X\Y |
25 |
35 |
45 |
55 |
65 |
|
24. |
X\Y |
30 |
40 |
50 |
60 |
70 |
|
|
20 |
2 |
|
|
|
|
|
|
15 |
3 |
|
|
|
|
|
|
25 |
4 |
6 |
|
|
|
|
|
20 |
3 |
5 |
|
|
|
|
|
30 |
|
3 |
8 |
1 |
|
|
|
25 |
|
4 |
7 |
3 |
|
|
|
35 |
|
|
43 |
5 |
3 |
|
|
30 |
|
|
41 |
12 |
2 |
|
|
40 |
|
|
4 |
10 |
8 |
|
|
35 |
|
|
2 |
6 |
9 |
|
|
45 |
|
|
|
|
3 |
|
|
40 |
|
|
|
|
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25. |
X\Y |
35 |
45 |
55 |
65 |
75 |
|
|
|
|
|
|
|
|
|
|
25 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30 |
2 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
35 |
|
4 |
6 |
1 |
|
|
|
|
|
|
|
|
|
|
|
40 |
|
|
44 |
9 |
5 |
|
|
|
|
|
|
|
|
|
|
45 |
|
|
5 |
7 |
6 |
|
|
|
|
|
|
|
|
|
|
50 |
|
|
|
|
3 |
|
|
|
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