Завдання №5
Маємо дві вибірки. Треба:
Розрахувати вибірковий коефіцієнт кореляції між параметрами x та y для І і ІІ вибірок. Оцінити значущість коефіцієнтів кореляції.
Побудувати кореляційні поля для І і ІІ вибірок. Знайти лінії регресії Y на X і X на Y і побудувати графіки цих ліній на кореляційних полях двох вибірок відповідно.
Перевірити гіпотезу про рівність вибіркових середніх значень обох незв’язаних вибірок
;
з використанням критерію Стьюдента.
Порівняти виправлені дисперсії обох
вибірок
і
;
і
,
перевіривши гіпотези про рівність
генеральних дисперсій сукупностей за
допомогою критерію Фішера при α=0,01.
1. |
I |
X |
200 |
170 |
190 |
160 |
180 |
170 |
135 |
190 |
105 |
200 |
|
|
|
|
|
Y |
92 |
87 |
91 |
83 |
89 |
85 |
71 |
86 |
65 |
91 |
|
|
|
|
II |
X |
120 |
135 |
150 |
105 |
110 |
180 |
120 |
210 |
120 |
130 |
|
|
|
|
|
Y |
71 |
74 |
82 |
63 |
67 |
86 |
83 |
90 |
70 |
80 |
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2. |
I |
X |
135 |
200 |
150 |
160 |
110 |
170 |
200 |
180 |
135 |
190 |
105 |
|
|
|
|
Y |
74 |
92 |
82 |
83 |
67 |
85 |
90 |
86 |
71 |
86 |
65 |
|
|
|
II |
X |
110 |
170 |
190 |
180 |
105 |
200 |
210 |
120 |
|
|
|
|
|
|
|
Y |
71 |
87 |
91 |
89 |
63 |
91 |
90 |
70 |
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3. |
I |
X |
120 |
150 |
180 |
110 |
170 |
200 |
135 |
120 |
|
|
|
|
|
|
|
Y |
71 |
82 |
89 |
67 |
85 |
90 |
71 |
83 |
|
|
|
|
|
|
II |
X |
200 |
170 |
190 |
160 |
105 |
190 |
105 |
200 |
210 |
120 |
|
|
|
|
|
Y |
92 |
87 |
91 |
83 |
63 |
86 |
65 |
91 |
90 |
70 |
|
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4. |
I |
X |
190 |
150 |
160 |
105 |
200 |
105 |
200 |
210 |
120 |
|
|
|
|
|
|
Y |
91 |
82 |
83 |
63 |
90 |
65 |
91 |
90 |
70 |
|
|
|
|
|
II |
X |
120 |
135 |
200 |
170 |
180 |
110 |
170 |
120 |
|
|
|
|
|
|
|
Y |
71 |
74 |
92 |
87 |
89 |
67 |
85 |
83 |
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5. |
I |
X |
200 |
170 |
190 |
160 |
180 |
170 |
135 |
190 |
105 |
200 |
210 |
120 |
|
|
|
Y |
92 |
87 |
91 |
83 |
89 |
85 |
71 |
86 |
65 |
91 |
90 |
70 |
|
|
II |
X |
120 |
135 |
150 |
105 |
110 |
180 |
120 |
|
|
|
|
|
|
|
|
Y |
71 |
74 |
82 |
63 |
67 |
86 |
83 |
|
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6. |
I |
X |
120 |
190 |
200 |
105 |
120 |
210 |
170 |
180 |
|
|
|
|
|
|
|
Y |
71 |
91 |
90 |
63 |
70 |
90 |
87 |
89 |
|
|
|
|
|
|
II |
X |
110 |
190 |
135 |
170 |
110 |
170 |
120 |
210 |
120 |
|
|
|
|
|
|
Y |
71 |
91 |
74 |
87 |
67 |
85 |
83 |
90 |
70 |
|
|
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7. |
I |
X |
135 |
170 |
135 |
105 |
150 |
110 |
135 |
120 |
120 |
|
|
|
|
|
|
Y |
74 |
85 |
71 |
65 |
82 |
67 |
71 |
83 |
70 |
|
|
|
|
|
II |
X |
200 |
135 |
110 |
180 |
120 |
170 |
120 |
170 |
210 |
135 |
|
|
|
|
|
Y |
92 |
74 |
67 |
86 |
83 |
85 |
70 |
87 |
90 |
74 |
|
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8. |
I |
X |
200 |
150 |
180 |
200 |
135 |
200 |
120 |
105 |
180 |
210 |
|
|
|
|
|
Y |
92 |
82 |
89 |
90 |
71 |
91 |
70 |
65 |
86 |
90 |
|
|
|
|
II |
X |
110 |
135 |
110 |
120 |
180 |
120 |
170 |
200 |
120 |
|
|
|
|
|
|
Y |
71 |
74 |
67 |
83 |
86 |
71 |
85 |
92 |
70 |
|
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9. |
I |
X |
135 |
150 |
110 |
200 |
135 |
105 |
120 |
170 |
135 |
|
|
|
|
|
|
Y |
74 |
82 |
67 |
90 |
71 |
65 |
71 |
85 |
71 |
|
|
|
|
|
II |
X |
120 |
150 |
110 |
120 |
120 |
170 |
190 |
105 |
200 |
|
|
|
|
|
|
Y |
71 |
82 |
67 |
83 |
70 |
87 |
91 |
63 |
91 |
|
|
|
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|
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|
|
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10. |
I |
X |
170 |
160 |
170 |
190 |
200 |
200 |
150 |
110 |
200 |
135 |
|
|
|
|
|
Y |
87 |
83 |
85 |
86 |
91 |
92 |
82 |
67 |
90 |
71 |
|
|
|
|
II |
X |
135 |
105 |
180 |
210 |
130 |
110 |
190 |
105 |
120 |
|
|
|
|
|
|
Y |
74 |
63 |
86 |
90 |
80 |
71 |
91 |
63 |
70 |
|
|
|
|
|
|
|
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|
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11. |
I |
X |
200 |
190 |
180 |
135 |
190 |
200 |
120 |
210 |
120 |
|
|
|
|
|
|
Y |
92 |
91 |
89 |
71 |
86 |
91 |
70 |
90 |
71 |
|
|
|
|
|
II |
X |
200 |
190 |
105 |
105 |
200 |
120 |
170 |
180 |
150 |
|
|
|
|
|
|
Y |
92 |
91 |
63 |
65 |
91 |
70 |
85 |
86 |
82 |
|
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12. |
I |
X |
150 |
160 |
170 |
200 |
180 |
135 |
190 |
105 |
120 |
200 |
|
|
|
|
|
Y |
82 |
83 |
85 |
90 |
86 |
71 |
86 |
65 |
70 |
92 |
|
|
|
|
II |
X |
120 |
135 |
105 |
180 |
210 |
120 |
130 |
105 |
200 |
135 |
|
|
|
|
|
Y |
71 |
74 |
63 |
86 |
90 |
70 |
80 |
63 |
90 |
71 |
|
|
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|
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13. |
I |
X |
135 |
200 |
160 |
170 |
200 |
135 |
190 |
105 |
200 |
150 |
180 |
|
|
|
|
Y |
74 |
92 |
83 |
85 |
90 |
71 |
86 |
65 |
91 |
82 |
89 |
|
|
|
II |
X |
135 |
170 |
180 |
105 |
200 |
170 |
170 |
180 |
110 |
|
|
|
|
|
|
Y |
74 |
87 |
89 |
63 |
91 |
85 |
87 |
89 |
67 |
|
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14. |
I |
X |
190 |
150 |
105 |
105 |
210 |
200 |
160 |
170 |
110 |
180 |
|
|
|
|
|
Y |
91 |
82 |
63 |
65 |
90 |
91 |
83 |
87 |
67 |
89 |
|
|
|
|
II |
X |
170 |
190 |
105 |
200 |
120 |
200 |
135 |
120 |
|
|
|
|
|
|
|
Y |
87 |
91 |
63 |
91 |
70 |
90 |
71 |
83 |
|
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15. |
I |
X |
200 |
160 |
150 |
200 |
200 |
135 |
190 |
105 |
190 |
120 |
|
|
|
|
|
Y |
92 |
83 |
82 |
91 |
90 |
71 |
86 |
65 |
91 |
70 |
|
|
|
|
II |
X |
190 |
160 |
105 |
200 |
210 |
120 |
105 |
200 |
170 |
|
|
|
|
|
|
Y |
91 |
83 |
63 |
90 |
90 |
70 |
65 |
91 |
87 |
|
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|
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|
|
|
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|
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16. |
I |
X |
190 |
160 |
180 |
135 |
190 |
105 |
180 |
105 |
170 |
150 |
|
|
|
|
|
Y |
91 |
83 |
89 |
71 |
86 |
65 |
86 |
65 |
85 |
82 |
|
|
|
|
II |
X |
120 |
150 |
105 |
180 |
210 |
200 |
135 |
110 |
120 |
|
|
|
|
|
|
Y |
71 |
82 |
63 |
86 |
90 |
91 |
74 |
67 |
70 |
|
|
|
|
|
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17. |
I |
X |
150 |
180 |
170 |
200 |
135 |
150 |
160 |
105 |
105 |
200 |
|
|
|
|
|
Y |
82 |
89 |
85 |
90 |
71 |
82 |
83 |
63 |
65 |
91 |
|
|
|
|
II |
X |
120 |
135 |
150 |
110 |
180 |
120 |
210 |
120 |
130 |
|
|
|
|
|
|
Y |
71 |
74 |
82 |
67 |
86 |
83 |
90 |
70 |
80 |
|
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18. |
I |
X |
200 |
190 |
160 |
170 |
135 |
105 |
200 |
210 |
120 |
150 |
|
|
|
|
|
Y |
92 |
91 |
83 |
85 |
71 |
65 |
91 |
90 |
70 |
82 |
|
|
|
|
II |
X |
170 |
190 |
160 |
105 |
105 |
200 |
210 |
135 |
180 |
|
|
|
|
|
|
Y |
87 |
91 |
83 |
63 |
65 |
91 |
90 |
74 |
89 |
|
|
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|
|
|
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19. |
I |
X |
190 |
160 |
105 |
200 |
200 |
120 |
135 |
170 |
180 |
150 |
|
|
|
|
|
Y |
91 |
83 |
63 |
90 |
91 |
70 |
71 |
85 |
89 |
82 |
|
|
|
|
II |
X |
120 |
135 |
105 |
180 |
210 |
120 |
200 |
200 |
110 |
|
|
|
|
|
|
Y |
71 |
74 |
63 |
86 |
90 |
70 |
91 |
92 |
67 |
|
|
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|
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20. |
I |
X |
150 |
160 |
200 |
105 |
200 |
210 |
135 |
120 |
180 |
110 |
|
|
|
|
|
Y |
82 |
83 |
90 |
65 |
91 |
90 |
71 |
70 |
89 |
67 |
|
|
|
|
II |
X |
190 |
105 |
105 |
200 |
210 |
110 |
170 |
135 |
120 |
|
|
|
|
|
|
Y |
91 |
63 |
65 |
91 |
90 |
67 |
85 |
74 |
71 |
|
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21. |
I |
X |
135 |
200 |
150 |
110 |
170 |
200 |
180 |
135 |
190 |
105 |
|
|
|
|
|
Y |
74 |
92 |
82 |
67 |
85 |
91 |
86 |
71 |
86 |
65 |
|
|
|
|
II |
X |
120 |
150 |
110 |
180 |
120 |
210 |
120 |
130 |
190 |
|
|
|
|
|
|
Y |
71 |
82 |
67 |
86 |
83 |
90 |
70 |
80 |
91 |
|
|
|
|
|
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|
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22. |
I |
X |
200 |
170 |
160 |
170 |
190 |
105 |
200 |
120 |
150 |
110 |
|
|
|
|
|
Y |
92 |
87 |
83 |
85 |
86 |
65 |
91 |
70 |
82 |
67 |
|
|
|
|
II |
X |
110 |
190 |
105 |
120 |
190 |
105 |
200 |
210 |
170 |
|
|
|
|
|
|
Y |
71 |
91 |
63 |
70 |
86 |
65 |
91 |
90 |
85 |
|
|
|
|
|
|
|
|
|
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23. |
I |
X |
170 |
150 |
160 |
170 |
200 |
180 |
135 |
190 |
105 |
120 |
|
|
|
|
|
Y |
87 |
82 |
83 |
85 |
90 |
86 |
71 |
86 |
65 |
83 |
|
|
|
|
II |
X |
135 |
150 |
110 |
180 |
210 |
120 |
130 |
170 |
180 |
|
|
|
|
|
|
Y |
74 |
82 |
67 |
86 |
90 |
70 |
80 |
87 |
89 |
|
|
|
|
|
|
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24. |
I |
X |
190 |
160 |
105 |
200 |
200 |
210 |
135 |
120 |
180 |
170 |
|
|
|
|
|
Y |
91 |
83 |
63 |
90 |
91 |
90 |
71 |
70 |
89 |
85 |
|
|
|
|
II |
X |
200 |
190 |
160 |
105 |
190 |
200 |
210 |
120 |
170 |
|
|
|
|
|
|
Y |
92 |
91 |
83 |
63 |
86 |
91 |
90 |
70 |
85 |
|
|
|
|
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|
25. |
I |
X |
170 |
190 |
105 |
200 |
105 |
210 |
120 |
170 |
135 |
150 |
|
|
|
|
|
Y |
87 |
91 |
63 |
90 |
65 |
90 |
70 |
85 |
71 |
82 |
|
|
|
|
II |
X |
150 |
170 |
160 |
105 |
190 |
105 |
200 |
210 |
120 |
|
|
|
|
|
|
Y |
82 |
87 |
83 |
63 |
86 |
65 |
91 |
90 |
70 |
|
|
|
|
