CKT_l.r.05_Prognozirovanie / Приклад виконання л.р.05
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1 |
Завдання 5.1 |
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T= |
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V= |
Тенденция |
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Рост |
СРЗНАЧ |
Наклон- |
Линейн |
ДГРФПРИБЛ |
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Линейный тренд |
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2 |
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отрезок |
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3 |
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0 |
600 |
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614 |
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820 |
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614 |
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614 |
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820 |
700 |
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y = -56,909x + 670,55 |
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4 |
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5 |
600 |
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557 |
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653 |
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557 |
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557 |
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653 |
600 |
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5 |
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10 |
500 |
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500 |
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519 |
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567 |
500 |
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500 |
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519 |
500 |
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R2 = 0,9866 |
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6 |
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15 |
420 |
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443 |
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413 |
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443 |
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443 |
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413 |
400 |
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7 |
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20 |
380 |
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386 |
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329 |
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507 |
386 |
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386 |
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329 |
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300 |
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8 |
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25 |
300 |
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329 |
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262 |
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433 |
329 |
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329 |
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262 |
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200 |
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9 |
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30 |
300 |
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272 |
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208 |
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367 |
272 |
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272 |
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208 |
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10 |
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35 |
200 |
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215 |
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166 |
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327 |
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215 |
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166 |
100 |
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11 |
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40 |
160 |
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158 |
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132 |
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267 |
158 |
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158 |
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132 |
0 |
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12 |
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45 |
120 |
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101 |
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105 |
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220 |
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101 |
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105 |
-100 0 |
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13 |
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40 |
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45 |
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84 |
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160 |
45 |
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45 |
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84 |
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14 |
55 |
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? |
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-12 |
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67 |
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107 |
-12 |
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-12 |
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67 |
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15 |
Наклон-отрезок |
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Поліномінальний квадратичний тренд |
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16 |
y=mx+b |
m= |
b= |
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700 |
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17 |
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-11,3818 |
613,636364 |
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2 |
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18 |
ЛИНЕЙН |
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600 |
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y = 0,4895x - 62,783x + 683,27 |
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R2 = 0,9872 |
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19 |
y=mx+b |
m= |
b= |
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500 |
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20 |
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-11,3818 |
613,636364 |
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400 |
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21 |
ДГРФПРИБЛ |
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300 |
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22 |
y=bmx |
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m= |
b= |
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200 |
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23 |
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0,955361 |
820,168299 |
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100 |
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24 |
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0 |
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25 |
900 |
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0 |
5 |
10 |
15 |
20 |
25 |
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26 |
800 |
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Тенденция |
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27 |
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700 |
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28 |
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Поліномінальний кубічний тренд |
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600 |
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Рост |
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29 |
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700 |
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y = -0,0505x3 + 1,3986x2 - 67,339x + 688,79 |
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30 |
500 |
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СРЗНАЧ |
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600 |
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R2 = 0,9872 |
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31 |
400 |
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32 |
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Наклон- |
500 |
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300 |
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33 |
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отрезок |
400 |
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34 |
200 |
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Линейн |
300 |
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35 |
100 |
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ДГРФПРИБЛ |
200 |
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36 |
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100 |
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0 |
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37 |
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0 |
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0 |
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38 |
-100 |
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-100 0 |
5 |
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15 |
20 |
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39 |
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40 |
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A |
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B |
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C |
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D |
E |
F |
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G |
H |
I |
J |
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K |
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L |
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M |
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N |
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O |
P |
1 |
Завдання5.1 |
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T= |
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V= |
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Тенденция |
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Рост |
СРЗНАЧ |
Наклон- |
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Линейн |
ДГРФПРИБЛ |
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Линейный тренд |
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2 |
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отрезок |
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3 |
0 |
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600 |
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=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
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=$B$17*A3+$C$17 |
=$B$20*A3+$C$20 |
=$C$23*$B$23^A3 |
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700 |
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y = -56,909x + 670,55 |
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4 |
5 |
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600 |
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=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
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=$B$17*A4+$C$17 |
=$B$20*A4+$C$20 |
=$C$23*$B$23^A4 |
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600 |
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5 |
10 |
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500 |
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=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
=СРЗНАЧ(B3:B5) |
=$B$17*A5+$C$17 |
=$B$20*A5+$C$20 |
=$C$23*$B$23^A5 |
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500 |
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R2 = 0,9866 |
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6 |
15 |
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420 |
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=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
=$B$17*A6+$C$17 |
=$B$20*A6+$C$20 |
=$C$23*$B$23^A6 |
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400 |
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7 |
20 |
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380 |
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=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
=СРЗНАЧ(B4:B6) |
=$B$17*A7+$C$17 |
=$B$20*A7+$C$20 |
=$C$23*$B$23^A7 |
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300 |
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8 |
25 |
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300 |
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=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
=СРЗНАЧ(B5:B7) |
=$B$17*A8+$C$17 |
=$B$20*A8+$C$20 |
=$C$23*$B$23^A8 |
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200 |
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9 |
30 |
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300 |
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=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
=СРЗНАЧ(B6:B8) |
=$B$17*A9+$C$17 |
=$B$20*A9+$C$20 |
=$C$23*$B$23^A9 |
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10 |
35 |
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200 |
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=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
=СРЗНАЧ(B7:B9) |
=$B$17*A10+$C$17 |
=$B$20*A10+$C$20 |
=$C$23*$B$23^A10 |
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100 |
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11 |
40 |
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160 |
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=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
=СРЗНАЧ(B8:B10) |
=$B$17*A11+$C$17 |
=$B$20*A11+$C$20 |
=$C$23*$B$23^A11 |
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0 |
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12 |
45 |
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120 |
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=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
=СРЗНАЧ(B9:B11) |
=$B$17*A12+$C$17 |
=$B$20*A12+$C$20 =$C$23*$B$23^A12 |
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-100 0 |
5 |
10 |
15 |
20 |
25 |
30 |
35 |
40 |
45 |
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50 |
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13 |
50 |
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40 |
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=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
=СРЗНАЧ(B10:B12) =$B$17*A13+$C$17 |
=$B$20*A13+$C$20 =$C$23*$B$23^A13 |
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14 |
55 |
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? |
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=ТЕНДЕНЦИЯ(B3:B13;A3:A13;A14) |
=РОСТ(B3:B13;A3:A13;A14) |
=СРЗНАЧ(B11:B13) |
=$B$17*A14+$C$17 =$B$20*A14+$C$20 |
=$C$23*$B$23^A14 |
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15 |
Наклон-отрезок |
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Поліномінальний квадратичний тренд |
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16 |
y=mx+b |
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m= |
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b= |
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700 |
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17 |
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=НАКЛОН(B3:B13;A3:A13) |
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=ОТРЕЗОК(B3:B13;A3:A13) |
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y = 0,4895x2 - 62,783x + 683,27 |
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600 |
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18 |
ЛИНЕЙН |
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R |
2 |
= 0,9872 |
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19 |
y=mx+b |
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m= |
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b= |
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500 |
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20 |
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=ЛИНЕЙН(B3:B13;A3:A13) |
|
=ЛИНЕЙН(B3:B13;A3:A13) |
|
|
|
|
|
|
|
|
|
400 |
|
|
|
|
|
|
|
|
|
|
|
|
21 |
ДГРФПРИБЛ |
|
|
|
|
|
|
|
|
|
|
|
|
|
300 |
|
|
|
|
|
|
|
|
|
|
|
|
22 |
y=bmx |
|
m= |
|
b= |
|
|
|
|
|
|
|
|
|
200 |
|
|
|
|
|
|
|
|
|
|
|
|
23 |
|
|
=ЛГРФПРИБЛ(B3:B13;A3:A13) |
=ЛГРФПРИБЛ(B3:B13;A3:A13) |
|
|
|
|
|
|
|
|
100 |
|
|
|
|
|
|
|
|
|
|
|
|
||
24 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
25 |
900 |
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
5 |
10 |
15 |
20 |
25 |
30 |
35 |
40 |
45 |
|
50 |
|
26 |
800 |
|
|
|
|
|
|
|
|
|
|
|
|
Тенденция |
|
|
|
|
|
|
|
|
|
|
|
|
|
27 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
700 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
28 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Поліномінальний кубічний тренд |
|
|
|
|
|
|
||
|
|
|
|
|
|
|
|
|
|
|
|
|
Рост |
|
|
|
|
|
|
|
|
|
|
|
|||
29 |
600 |
|
|
|
|
|
|
|
|
|
|
|
|
|
700 |
|
|
|
|
|
|
y = -0,0505x3 + 1,3986x2 - 67,339x + 688,79 |
|
||||
30 |
500 |
|
|
|
|
|
|
|
|
|
|
|
|
СРЗНАЧ |
|
|
|
|
|
|
|
||||||
|
|
|
|
|
|
|
|
|
|
|
|
600 |
|
|
|
|
|
|
|
|
R2 = 0,9872 |
|
|||||
31 |
400 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||
32 |
|
|
|
|
|
|
|
|
|
|
|
|
Наклон- |
500 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||
33 |
300 |
|
|
|
|
|
|
|
|
|
|
|
|
отрезок |
400 |
|
|
|
|
|
|
|
|
|
|
|
|
34 |
200 |
|
|
|
|
|
|
|
|
|
|
|
|
Линейн |
300 |
|
|
|
|
|
|
|
|
|
|
|
|
35 |
100 |
|
|
|
|
|
|
|
|
|
|
|
|
ДГРФПРИБЛ |
200 |
|
|
|
|
|
|
|
|
|
|
|
|
36 |
|
|
|
|
|
|
|
|
|
|
|
|
|
100 |
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||
37 |
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
5 |
10 |
15 |
20 |
25 |
30 |
35 |
40 |
45 |
50 |
55 |
|
|
|
|
|
|
|
|
|
|
|
|
|
||
38 |
-100 |
|
-100 0 |
|
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|
||||||||||||
|
|
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|
|
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|
|
|
|
|
5 |
10 |
15 |
20 |
25 |
30 |
35 |
40 |
45 |
|
50 |
|
|||
39 |
|
|
|
|
|
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|
|
|
|
|
|
|||||||||||
40 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
41 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
A |
B |
|
C |
D |
E |
F |
G |
H |
I |
J |
K |
|
L |
|
|
M |
|
N |
|
O |
P |
1 |
Завдання 5.2 |
|
|
|
|
|
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|
|
|
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|
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|
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|
|
|
|
|
|
T= |
V= |
|
Тенденция |
Рост |
СРЗНАЧ |
Наклон- |
Линейн |
ДГРФПРИБЛ |
|
|
|
|
Линейный тренд |
|
|
|
|
|
|||
2 |
|
отрезок |
|
|
|
|
|
|
|
|
|
|||||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||
3 |
0 |
3760 |
2081 |
2537 |
|
2081 |
2081 |
|
2537 |
10000 |
|
|
|
|
|
|
|
|
|
|
|
|
4 |
8 |
2696 |
2561 |
2805 |
|
2561 |
2561 |
|
2805 |
8000 |
|
y = 480,18x + 1600,7 |
|
|
|
|
|
|||||
5 |
16 |
2664 |
3041 |
3101 |
|
3041 |
3041 |
|
3101 |
|
|
|
|
|
|
|||||||
|
|
|
|
|
R2 = 0,7694 |
|
|
|
|
|
|
|||||||||||
6 |
24 |
3204 |
3521 |
3429 |
3040 |
3521 |
3521 |
|
3429 |
6000 |
|
|
|
|
|
|
|
|
||||
|
|
|
|
|
|
|
|
|
|
|
|
|||||||||||
7 |
32 |
3476 |
4002 |
3791 |
2855 |
4002 |
4002 |
|
3791 |
4000 |
|
|
|
|
|
|
|
|
|
|
|
|
8 |
40 |
3640 |
4482 |
4192 |
3115 |
4482 |
4482 |
|
4192 |
|
|
|
|
|
|
|
|
|
|
|
||
9 |
48 |
3816 |
4962 |
4635 |
3440 |
4962 |
4962 |
|
4635 |
2000 |
|
|
|
|
|
|
|
|
|
|
|
|
10 |
56 |
4984 |
5442 |
5124 |
3644 |
5442 |
5442 |
|
5124 |
|
|
|
|
|
|
|
|
|
|
|
||
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||
11 |
64 |
5964 |
5922 |
5666 |
4147 |
5922 |
5922 |
|
5666 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
12 |
72 |
6876 |
6403 |
6265 |
4921 |
6403 |
6403 |
|
6265 |
0 |
8 |
16 |
24 |
32 |
40 |
48 |
56 |
64 |
72 |
80 |
|
|
13 |
80 |
8220 |
6883 |
6927 |
5941 |
6883 |
6883 |
|
6927 |
|
|
|
|
|
|
|
|
|
|
|
|
|
14 |
88 |
? |
|
7363 |
7659 |
7020 |
7363 |
7363 |
|
7659 |
|
|
|
|
|
|
|
|
|
|
|
|
15 |
Наклон-отрезок |
|
|
|
|
|
|
|
|
|
|
Поліномінальний квадратичний тренд |
|
|
|
|
||||||
16 |
y=mx+b |
m= |
|
b= |
|
|
|
|
|
|
12000 |
|
|
|
|
|
|
|
|
|
|
|
17 |
|
60,02273 |
2080,90909 |
|
|
|
|
|
|
y = 90,149x2 - 601,61x + 3944,6 |
|
|
|
|
||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|||||||||||
18 |
ЛИНЕЙН |
|
|
|
|
|
|
|
|
|
10000 |
|
|
|
|
|||||||
|
|
|
|
|
|
|
|
|
|
|
R2 = 0,9809 |
|
|
|
|
|
|
|||||
19 |
y=mx+b |
m= |
|
b= |
|
|
|
|
|
|
8000 |
|
|
|
|
|
|
|
|
|||
20 |
|
60,02273 |
2080,90909 |
|
|
|
|
|
|
6000 |
|
|
|
|
|
|
|
|
|
|
|
|
21 |
ДГРФПРИБЛ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||
|
|
|
|
|
|
|
|
4000 |
|
|
|
|
|
|
|
|
|
|
|
|||
22 |
y=bmx |
m= |
|
b= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
23 |
|
1,012637 |
2536,53555 |
|
|
|
|
|
|
2000 |
|
|
|
|
|
|
|
|
|
|
|
|
24 |
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
25 |
|
|
|
|
|
|
|
|
|
|
0 |
8 |
16 |
24 |
32 |
40 |
48 |
56 |
64 |
72 |
80 |
|
26 |
10000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
27 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||
|
|
|
|
|
|
|
|
V |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
28 |
8000 |
|
|
|
|
|
|
|
|
|
|
Поліномінальний кубічний тренд |
|
|
|
|
||||||
29 |
|
|
|
|
|
|
Тенденция |
10000y = -1,8609x3 + 123,65x2 - 769,46x + 4147,8 |
|
|
||||||||||||
|
|
|
|
|
|
|
|
|
|
|||||||||||||
30 |
6000 |
|
|
|
|
|
|
|
|
|
|
|
R2 = 0,9815 |
|
|
|
|
|
||||
31 |
|
|
|
|
|
|
Рост |
|
8000 |
|
|
|
|
|
|
|
||||||
32 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||
4000 |
|
|
|
|
|
|
СРЗНАЧ |
6000 |
|
|
|
|
|
|
|
|
|
|
|
|||
33 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||
34 |
2000 |
|
|
|
|
|
|
Наклон-отрезок |
4000 |
|
|
|
|
|
|
|
|
|
|
|
||
35 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||
|
|
|
|
|
|
Линейн |
2000 |
|
|
|
|
|
|
|
|
|
|
|
||||
36 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||
37 |
0 |
|
|
|
|
|
|
ДГРФПРИБЛ |
0 |
|
|
|
|
|
|
|
|
|
|
|
||
38 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||
|
0 |
8 |
16 24 32 40 48 56 64 72 80 88 |
0 |
8 |
16 |
24 |
32 |
40 |
48 |
56 |
64 |
72 |
80 |
|
|||||||
39 |
|
|
|
|
||||||||||||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||
40 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
41 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
A |
B |
C |
D |
E |
F |
G |
H |
|
1 |
Завдання 5 |
|
|
|
|
|
|
|
|
|
T= |
V= |
Тенденция |
Рост |
СРЗНАЧ |
Наклон- |
Линейн |
ДГРФПРИБЛ |
|
2 |
отрезок |
||||||||
|
|
|
|
|
|
|
|||
3 |
0 |
3760 |
=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
|
=$B$17*A3+$C$17 |
=$B$20*A3+$C$20 |
=$C$23*$B$23^A3 |
|
4 |
8 |
2696 |
=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
|
=$B$17*A4+$C$17 |
=$B$20*A4+$C$20 |
=$C$23*$B$23^A4 |
|
5 |
16 |
2664 |
=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
|
=$B$17*A5+$C$17 |
=$B$20*A5+$C$20 |
=$C$23*$B$23^A5 |
|
6 |
24 |
3204 |
=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
=СРЗНАЧ(B3:B5) |
=$B$17*A6+$C$17 |
=$B$20*A6+$C$20 |
=$C$23*$B$23^A6 |
|
7 |
32 |
3476 |
=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
=СРЗНАЧ(B4:B6) |
=$B$17*A7+$C$17 |
=$B$20*A7+$C$20 |
=$C$23*$B$23^A7 |
|
8 |
40 |
3640 |
=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
=СРЗНАЧ(B5:B7) |
=$B$17*A8+$C$17 |
=$B$20*A8+$C$20 |
=$C$23*$B$23^A8 |
|
9 |
48 |
3816 |
=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
=СРЗНАЧ(B6:B8) |
=$B$17*A9+$C$17 |
=$B$20*A9+$C$20 |
=$C$23*$B$23^A9 |
|
10 |
56 |
4984 |
=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
=СРЗНАЧ(B7:B9) |
=$B$17*A10+$C$17 |
=$B$20*A10+$C$20 |
=$C$23*$B$23^A10 |
|
11 |
64 |
5964 |
=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
=СРЗНАЧ(B8:B10) |
=$B$17*A11+$C$17 |
=$B$20*A11+$C$20 |
=$C$23*$B$23^A11 |
|
12 |
72 |
6876 |
=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
=СРЗНАЧ(B9:B11) |
=$B$17*A12+$C$17 |
=$B$20*A12+$C$20 |
=$C$23*$B$23^A12 |
|
13 |
80 |
8220 |
=ТЕНДЕНЦИЯ(B3:B13;A3:A13) |
=РОСТ(B3:B13;A3:A13) |
=СРЗНАЧ(B10:B12) |
=$B$17*A13+$C$17 |
=$B$20*A13+$C$20 |
=$C$23*$B$23^A13 |
|
14 |
88 |
? |
=ТЕНДЕНЦИЯ(B3:B13;A3:A13;A14) |
=РОСТ(B3:B13;A3:A13;A14) |
=СРЗНАЧ(B11:B13) |
=$B$17*A14+$C$17 |
=$B$20*A14+$C$20 |
=$C$23*$B$23^A14 |
|
15 |
Наклон-отрезок |
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|
16 |
y=mx+b |
m= |
b= |
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17 |
|
=НАКЛОН(B3:B13;A3:A13) |
=ОТРЕЗОК(B3:B13;A3:A13) |
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|
18 |
ЛИНЕЙН |
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|
19 |
y=mx+b |
m= |
b= |
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20 |
|
=ЛИНЕЙН(B3:B13;A3:A13) |
=ЛИНЕЙН(B3:B13;A3:A13) |
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|
21 |
ДГРФПРИБЛ |
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22 |
y=bmx |
m= |
b= |
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23 |
|
=ЛГРФПРИБЛ(B3:B13;A3:A13) |
=ЛГРФПРИБЛ(B3:B13;A3:A13) |
|
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|
|
Завдання 5.1
0 |
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600 |
|
t1 := 0 |
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5 |
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600 |
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:= 55 |
||
|
10 |
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500 |
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t |
2 |
||
|
15 |
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420 |
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||||||
|
20 |
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380 |
|
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t := 5 |
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||||
T := |
25 |
V := 300 |
t := t1, t1 + t .. t2 |
|||||
|
30 |
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300 |
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35 |
200 |
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|||
|
40 |
160 |
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|||
|
45 |
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|
120 |
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||
|
50 |
|
40 |
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||
z1(t) := interp(lspline(T, V) , T , V, t) |
|
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|
||
z2(t) := interp(pspline(T, V) , T, V, t) |
|
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|
||
z3(t) := interp(cspline(T , V) , T, V, t) |
|
|
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|
||
Прогнозні значення функції: |
|
|
|
|
||
|
z1(55) = −40 |
|
|
|
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|
|
z2(55) = −82.21 |
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|
|
z3(55) = −90.455 |
|
|
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|
|
600 |
|
|
|
|
|
|
400 |
|
|
|
|
|
|
z1(t) |
|
|
|
|
|
|
z2(t) |
|
|
|
|
|
|
200 |
|
|
|
|
|
|
z3(t) |
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|
V |
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|
|
0 |
|
|
|
|
|
|
200 |
10 |
20 |
30 |
40 |
50 |
60 |
0 |
||||||
|
|
|
t, t, t, T |
|
|
|
a := slope(T, V) |
a = -11.382 |
b := intercept(T, V) |
b = 613.636 |
|
||
v(t) := a×t + b |
|
|
|
|
|
|
800 |
|
|
|
|
|
|
600 |
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|
|
400 |
|
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|
V |
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|
|
v(t) |
|
|
|
|
|
|
200 |
|
|
|
|
|
|
0 |
|
|
|
|
|
|
200 |
10 |
20 |
30 |
40 |
50 |
60 |
0 |
||||||
|
|
|
T, t |
|
|
|
n1 := 1 |
n2 := 2 |
n3 := 3 |
|
|
|
|
w1(t) := interp(regress(T, V, n1), T, V, t) |
|
|
|
|||
w2(t) := interp(regress(T, V, n2), T, V, t) |
|
|
|
|||
w3(t) := interp(regress(T, V, n3), T, V, t) |
|
|
|
|||
800 |
|
|
|
|
|
|
600 |
|
|
|
|
|
|
V |
|
|
|
|
|
|
w1(t) |
|
|
|
|
|
|
400 |
|
|
|
|
|
|
w2(t) |
|
|
|
|
|
|
w3(t) |
|
|
|
|
|
|
200 |
|
|
|
|
|
|
0 |
|
|
|
|
|
|
0 |
10 |
20 |
30 |
40 |
50 |
60 |
|
|
|
T, t |
|
|
|
Прогнозні значення функції:
w1(55) = −12.364
w2(55) = 0.364
w3(55) = −5.152
t = |
|
z1(t) = z2(t) = |
|
z3(t) = |
|
w1(t) = |
|
w2(t) = |
|
w3(t) = |
||
0 |
|
600 |
|
600 |
|
600 |
|
613.636 |
|
620.979 |
|
622.797 |
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
|
600 |
|
600 |
|
600 |
|
556.727 |
|
559.664 |
|
559.301 |
|
|
|
|
|
|
|
|
|
|
|
|
|
10 |
|
500 |
|
500 |
|
500 |
|
499.818 |
|
499.329 |
|
497.995 |
|
|
|
|
|
|
|
|
|
|
|
|
|
15 |
|
420 |
|
420 |
|
420 |
|
442.909 |
|
439.972 |
|
438.578 |
|
|
|
|
|
|
|
|
|
|
|
|
|
20 |
|
380 |
|
380 |
|
380 |
|
386 |
|
381.594 |
|
380.746 |
|
|
|
|
|
|
|
|
|
|
|
|
|
25 |
|
300 |
|
300 |
|
300 |
|
329.091 |
|
324.196 |
|
324.196 |
|
|
|
|
|
|
|
|
|
|
|
|
|
30 |
|
300 |
|
300 |
|
300 |
|
272.182 |
|
267.776 |
|
268.625 |
|
|
|
|
|
|
|
|
|
|
|
|
|
35 |
|
200 |
|
200 |
|
200 |
|
215.273 |
|
212.336 |
|
213.73 |
|
|
|
|
|
|
|
|
|
|
|
|
|
40 |
|
160 |
|
160 |
|
160 |
|
158.364 |
|
157.874 |
|
159.207 |
|
|
|
|
|
|
|
|
|
|
|
|
|
45 |
|
120 |
|
120 |
|
120 |
|
101.455 |
|
104.392 |
|
104.755 |
|
|
|
|
|
|
|
|
|
|
|
|
|
50 |
|
40 |
|
40 |
|
40 |
|
44.545 |
|
51.888 |
|
50.07 |
|
|
|
|
|
|
|
|
|
|
|
|
|
55 |
|
-40 |
|
-82.21 |
|
-90.455 |
|
-12.364 |
|
0.364 |
|
-5.152 |
|
|
|
|
|
|
|
|
|
|
|
|
|
Завдання 5.2
0 |
|
|
3760 |
|
t1 := 0 |
|||
|
8 |
|
|
2696 |
|
|||
|
|
|
|
|
|
:= 88 |
||
|
16 |
|
2664 |
|
t |
2 |
||
|
24 |
|
|
3204 |
|
|
|
|
|
|
|
||||||
|
32 |
|
|
3476 |
|
|
t := 8 |
|
|
|
|
|
|
||||
T := |
40 |
P := 3640 |
|
|
|
|||
|
48 |
|
|
3816 |
|
t := t1, t1 + t .. t2 |
||
|
|
|
|
|||||
|
56 |
4984 |
|
|
|
|||
|
64 |
5964 |
|
|
|
|||
|
72 |
|
|
6876 |
|
|
|
|
|
|
|
|
|
|
|
||
|
80 |
8220 |
|
|
|
|||
z1(t) := interp(lspline(T, P) , T, P, t) |
|
|
|
|
|
z2(t) := interp(pspline(T, P) , T, P, t) |
|
|
|
|
|
z3(t) := interp(cspline(T , P) , T , P, t) |
|
|
|
|
|
|
Прогнозні значення функції: |
|
|
||
z1(88) = 9564 |
z2(88) = 10093.642 |
z3(88) = 10458.04 |
|
||
1.2 .104 |
|
|
|
|
|
1 .104 |
|
|
|
|
|
z1(t) |
|
|
|
|
|
8000 |
|
|
|
|
|
z2(t) |
|
|
|
|
|
z3(t) |
|
|
|
|
|
6000 |
|
|
|
|
|
P |
|
|
|
|
|
4000 |
|
|
|
|
|
2000 |
20 |
40 |
60 |
80 |
100 |
0 |
|||||
|
|
|
t, t, t, T |
|
|
a := slope(T, P) |
a = 60.023 |
b := intercept(T, P) |
b = 2080.909 |
|
||
|
|
|
p(t) := a×t + b |
|
|
|
1 .104 |
|
|
|
|
|
|
8000 |
|
|
|
|
|
|
P |
|
|
|
|
|
|
6000 |
|
|
|
|
|
|
p(t) |
|
|
|
|
|
|
4000 |
|
|
|
|
|
|
2000 |
|
20 |
40 |
60 |
80 |
100 |
0 |
|
|||||
|
|
|
T, t |
|
|
|
n1 := 1 |
n2 := 2 |
n3 := 3 |
|
|
|
|
w1(t) := interp(regress(T, P, n1), T, P, t) |
|
|
|
|||
w2(t) := interp(regress(T, P, n2), T, P, t) |
|
|
|
|||
w3(t) := interp(regress(T, P, n3), T, P, t) |
|
|
|
|||
1 .104 |
|
|
|
|
|
|
8000 |
|
|
|
|
|
|
P |
|
|
|
|
|
|
w1(t) |
|
|
|
|
|
|
6000 |
|
|
|
|
|
|
w2(t) |
|
|
|
|
|
|
w3(t) |
|
|
|
|
|
|
4000 |
|
|
|
|
|
|
2000 |
|
|
|
|
|
|
|
0 |
20 |
40 |
60 |
80 |
100 |
|
|
|
T, t |
|
|
|
Прогнозні значення функції: |
|
|
w1(88) = 7362.909 |
w2(88) = 9706.788 |
w3(88) = 9503.576 |
t = |
|
z1(t) = |
|
z2(t) = |
|
|
z3(t) = |
|
w1(t) = |
|
w2(t) = |
|
w3(t) = |
|
0 |
|
3760 |
|
|
3760 |
|
3760 |
|
2080.909 |
|
3433.147 |
|
|
3500.14 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
|
2696 |
|
|
2696 |
|
2696 |
|
2561.091 |
|
3101.986 |
|
|
3088.587 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16 |
|
2664 |
|
|
2664 |
|
2664 |
|
3041.273 |
|
2951.124 |
|
|
2901.995 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
24 |
|
3204 |
|
|
3204 |
|
3204 |
|
3521.455 |
|
2980.559 |
|
|
2929.198 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
32 |
|
3476 |
|
|
3476 |
|
3476 |
|
4001.636 |
|
3190.294 |
|
|
3159.03 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40 |
|
3640 |
|
|
3640 |
|
3640 |
|
4481.818 |
|
3580.326 |
|
|
3580.326 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
48 |
|
3816 |
|
|
3816 |
|
3816 |
|
4962 |
|
4150.657 |
|
|
4181.921 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
56 |
|
4984 |
|
|
4984 |
|
4984 |
|
5442.182 |
|
4901.287 |
|
|
4952.648 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
64 |
|
5964 |
|
|
5964 |
|
5964 |
|
5922.364 |
|
5832.214 |
|
|
5881.343 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
72 |
|
6876 |
|
|
6876 |
|
6876 |
|
6402.545 |
|
6943.441 |
|
|
6956.839 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
80 |
|
8220 |
|
|
8220 |
|
8220 |
|
6882.727 |
|
8234.965 |
|
|
8167.972 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
88 |
|
9564 |
|
10093.642 |
|
10458.04 |
|
7362.909 |
|
9706.788 |
|
|
9503.576 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|