
- •Міністерство освіти і науки, молоді та спорту України
- •Донецький державний університет управління
- •Кафедра вищої математики
- •Контрольна робота
- •Донецьк – 2011 завдання контрольної роботи (1-7)
- •Завдання контрольної роботи (8-10) Завдання 8
- •Завдання 9
- •Завдання 10
- •Правила виконання та оформлення контрольної роботи
Завдання 10
Наведено дані, що характеризують залежність ознаки Y від ознаки X. На підставі цих даних: а) обчислити вибірковий коефіцієнт кореляції; б) знайти вибіркове рівняння лінійної регресії, що описує кореляційну залежність Y від X.
1.
Y |
X |
|||||
4 |
9 |
14 |
19 |
24 |
29 |
|
20 |
1 |
8 |
– |
– |
– |
– |
30 |
– |
9 |
3 |
– |
– |
– |
40 |
– |
4 |
5 |
46 |
– |
– |
50 |
– |
– |
– |
6 |
8 |
– |
60 |
– |
– |
– |
– |
4 |
6 |
2.
Y |
X |
|||||
10 |
15 |
20 |
25 |
30 |
35 |
|
4 |
3 |
5 |
4 |
– |
– |
– |
8 |
– |
2 |
1 |
3 |
– |
– |
12 |
– |
4 |
40 |
8 |
– |
– |
16 |
– |
– |
– |
5 |
7 |
5 |
20 |
– |
– |
– |
– |
7 |
10 |
3.
Y |
X |
|||||
6 |
12 |
18 |
24 |
30 |
36 |
|
4 |
4 |
1 |
3 |
– |
– |
– |
9 |
– |
6 |
11 |
– |
– |
– |
14 |
– |
2 |
1 |
52 |
– |
– |
19 |
– |
– |
– |
5 |
6 |
– |
24 |
– |
– |
– |
– |
3 |
6 |
4.
Y |
X |
|||||
5 |
10 |
15 |
20 |
25 |
30 |
|
6 |
1 |
4 |
– |
– |
– |
– |
10 |
– |
5 |
9 |
– |
– |
– |
14 |
– |
– |
38 |
6 |
9 |
– |
18 |
– |
– |
4 |
3 |
10 |
– |
22 |
– |
– |
– |
– |
1 |
10 |
5.
Y |
X |
|||||
8 |
14 |
20 |
26 |
32 |
38 |
|
5 |
8 |
3 |
4 |
– |
– |
– |
10 |
– |
– |
11 |
38 |
– |
– |
15 |
– |
– |
6 |
1 |
4 |
– |
20 |
– |
– |
– |
7 |
1 |
– |
25 |
– |
– |
– |
– |
9 |
8 |
6.
Y |
X |
|||||
3 |
8 |
13 |
18 |
23 |
28 |
|
1 |
1 |
3 |
6 |
– |
– |
– |
6 |
– |
4 |
7 |
– |
– |
– |
11 |
– |
– |
50 |
9 |
1 |
– |
16 |
– |
– |
2 |
8 |
2 |
– |
21 |
– |
– |
– |
1 |
3 |
3 |
7.
Y |
X |
|||||
7 |
10 |
13 |
16 |
19 |
22 |
|
2 |
3 |
5 |
– |
– |
– |
– |
4 |
– |
15 |
9 |
– |
– |
– |
6 |
– |
– |
23 |
6 |
1 |
– |
8 |
– |
– |
– |
12 |
7 |
– |
10 |
– |
– |
– |
– |
14 |
5 |
8.
Y |
X |
|||||
2 |
7 |
12 |
17 |
22 |
27 |
|
20 |
4 |
1 |
3 |
– |
– |
– |
30 |
– |
5 |
6 |
– |
– |
– |
40 |
– |
– |
7 |
40 |
8 |
– |
50 |
– |
– |
– |
9 |
1 |
3 |
60 |
– |
– |
– |
– |
9 |
4 |
9.
Y |
X |
|||||
10 |
20 |
30 |
40 |
50 |
60 |
|
1 |
2 |
2 |
3 |
– |
– |
– |
6 |
– |
4 |
4 |
5 |
– |
– |
11 |
– |
– |
40 |
11 |
21 |
– |
16 |
– |
– |
– |
1 |
2 |
1 |
21 |
– |
– |
– |
– |
– |
4 |
10.
Y |
X |
|||||
1 |
4 |
7 |
10 |
13 |
16 |
|
9 |
7 |
3 |
– |
– |
– |
– |
13 |
– |
10 |
23 |
5 |
– |
– |
17 |
– |
– |
10 |
13 |
8 |
– |
21 |
– |
– |
– |
– |
9 |
6 |
25 |
– |
– |
– |
– |
– |
6 |
11.
Y |
X |
|||||
9 |
12 |
15 |
18 |
21 |
24 |
|
4 |
5 |
2 |
– |
– |
– |
– |
10 |
– |
4 |
3 |
5 |
– |
– |
16 |
– |
– |
5 |
43 |
8 |
– |
32 |
– |
– |
2 |
7 |
6 |
– |
38 |
– |
– |
– |
– |
4 |
6 |
12.
Y |
X |
|||||
4 |
8 |
12 |
16 |
20 |
24 |
|
30 |
1 |
7 |
– |
– |
– |
– |
40 |
– |
5 |
1 |
– |
– |
– |
50 |
– |
– |
50 |
10 |
8 |
– |
60 |
– |
– |
– |
4 |
– |
– |
70 |
– |
– |
– |
10 |
3 |
1 |
13.
Y |
X |
|||||
5 |
9 |
13 |
17 |
21 |
25 |
|
10 |
8 |
4 |
– |
– |
– |
– |
15 |
– |
13 |
5 |
– |
– |
– |
20 |
– |
2 |
8 |
– |
– |
– |
25 |
– |
– |
30 |
10 |
10 |
– |
30 |
– |
– |
– |
– |
4 |
6 |
14.
Y |
X |
|||||
8 |
10 |
12 |
14 |
16 |
18 |
|
6 |
7 |
33 |
– |
– |
– |
– |
9 |
– |
– |
12 |
5 |
– |
– |
12 |
– |
– |
– |
7 |
8 |
– |
15 |
– |
– |
– |
9 |
11 |
1 |
18 |
– |
– |
– |
– |
2 |
5 |
15.
Y |
X |
|||||
2 |
6 |
10 |
14 |
18 |
22 |
|
11 |
1 |
7 |
– |
– |
– |
– |
16 |
– |
3 |
22 |
– |
– |
– |
21 |
– |
– |
15 |
17 |
8 |
– |
26 |
– |
– |
– |
9 |
11 |
– |
31 |
– |
– |
– |
– |
2 |
5 |
16.
Y |
X |
|||||
3 |
7 |
11 |
15 |
19 |
23 |
|
5 |
8 |
4 |
– |
– |
– |
– |
11 |
– |
23 |
6 |
– |
– |
– |
17 |
– |
– |
13 |
8 |
– |
– |
23 |
– |
– |
– |
17 |
12 |
– |
29 |
– |
– |
– |
– |
4 |
5 |
17.
Y |
X |
|||||
7 |
10 |
13 |
16 |
19 |
22 |
|
2 |
5 |
1 |
– |
– |
– |
– |
12 |
– |
3 |
17 |
23 |
– |
– |
22 |
– |
– |
10 |
6 |
– |
– |
32 |
– |
– |
– |
15 |
7 |
– |
42 |
– |
– |
– |
– |
6 |
7 |
18.
Y |
X |
|||||
1 |
5 |
9 |
13 |
17 |
21 |
|
9 |
7 |
12 |
– |
– |
– |
– |
10 |
– |
5 |
5 |
22 |
– |
– |
11 |
– |
– |
– |
15 |
7 |
– |
12 |
– |
– |
– |
– |
16 |
– |
13 |
– |
– |
– |
– |
8 |
3 |
19.
Y |
X |
|||||
10 |
12 |
14 |
16 |
18 |
20 |
|
3 |
1 |
2 |
3 |
– |
– |
– |
5 |
– |
4 |
3 |
9 |
– |
– |
7 |
– |
– |
5 |
40 |
7 |
– |
9 |
– |
– |
– |
2 |
16 |
1 |
11 |
– |
– |
– |
– |
1 |
6 |
20.
Y |
X |
|||||
6 |
8 |
10 |
12 |
14 |
16 |
|
2 |
5 |
3 |
– |
– |
– |
– |
6 |
– |
4 |
42 |
6 |
– |
– |
10 |
– |
– |
7 |
9 |
10 |
– |
14 |
– |
– |
– |
– |
3 |
4 |
18 |
– |
– |
– |
– |
– |
7 |
21.
Y |
X |
|||||
9 |
12 |
15 |
18 |
21 |
24 |
|
1 |
3 |
2 |
1 |
– |
– |
– |
4 |
– |
4 |
3 |
1 |
– |
– |
7 |
– |
– |
50 |
8 |
6 |
– |
10 |
– |
– |
– |
7 |
5 |
1 |
13 |
– |
– |
– |
– |
3 |
6 |
22.
Y |
X |
|||||
3 |
6 |
9 |
12 |
15 |
18 |
|
10 |
8 |
9 |
– |
– |
– |
– |
13 |
– |
22 |
7 |
3 |
– |
– |
16 |
– |
– |
23 |
6 |
9 |
– |
19 |
– |
– |
– |
3 |
4 |
– |
21 |
– |
– |
– |
– |
1 |
5 |
23.
Y |
X |
|||||
7 |
9 |
11 |
13 |
15 |
17 |
|
4 |
3 |
5 |
– |
– |
– |
– |
10 |
– |
10 |
1 |
6 |
– |
– |
16 |
– |
– |
32 |
15 |
1 |
– |
22 |
– |
– |
3 |
4 |
4 |
– |
28 |
– |
– |
– |
– |
5 |
11 |
24.
Y |
X |
|||||
13 |
18 |
23 |
28 |
33 |
38 |
|
2 |
5 |
3 |
– |
– |
– |
– |
5 |
– |
7 |
4 |
– |
– |
– |
8 |
– |
– |
5 |
30 |
7 |
– |
11 |
– |
– |
7 |
10 |
8 |
– |
14 |
– |
– |
– |
5 |
6 |
3 |
25.
Y |
X |
|||||
1 |
6 |
11 |
16 |
21 |
26 |
|
10 |
5 |
2 |
– |
– |
– |
– |
15 |
– |
3 |
32 |
– |
– |
– |
20 |
– |
6 |
23 |
3 |
– |
– |
25 |
– |
– |
– |
8 |
15 |
– |
30 |
– |
– |
– |
– |
1 |
2 |
26.
Y |
X |
|||||
5 |
9 |
13 |
17 |
21 |
25 |
|
8 |
1 |
2 |
– |
– |
– |
– |
10 |
– |
3 |
38 |
4 |
– |
– |
12 |
– |
– |
5 |
17 |
2 |
– |
14 |
– |
– |
– |
9 |
3 |
7 |
16 |
– |
– |
– |
– |
8 |
1 |
27.
Y |
X |
|||||
4 |
8 |
12 |
16 |
20 |
24 |
|
3 |
3 |
4 |
1 |
– |
– |
– |
5 |
– |
5 |
6 |
– |
– |
– |
7 |
– |
– |
40 |
7 |
8 |
– |
9 |
– |
– |
– |
9 |
1 |
3 |
11 |
– |
– |
– |
– |
10 |
3 |
28.
Y |
X |
|||||
8 |
10 |
12 |
14 |
16 |
18 |
|
5 |
2 |
2 |
3 |
– |
– |
– |
9 |
– |
4 |
4 |
5 |
– |
– |
13 |
– |
– |
40 |
11 |
21 |
– |
17 |
– |
– |
– |
1 |
3 |
1 |
21 |
– |
– |
– |
– |
– |
3 |
29.
Y |
X |
|||||
2 |
6 |
10 |
14 |
18 |
22 |
|
7 |
7 |
– |
– |
– |
– |
– |
10 |
3 |
5 |
1 |
– |
– |
– |
13 |
– |
– |
3 |
54 |
– |
– |
16 |
– |
– |
– |
7 |
8 |
– |
19 |
– |
– |
– |
– |
7 |
5 |
30.
Y |
X |
|||||
15 |
25 |
35 |
45 |
55 |
65 |
|
6 |
1 |
8 |
– |
– |
– |
– |
11 |
– |
1 |
3 |
11 |
– |
– |
16 |
– |
– |
40 |
9 |
– |
– |
21 |
– |
– |
5 |
6 |
6 |
– |
26 |
– |
– |
– |
– |
6 |
4 |