Greń Zad. 4.1. Z populacji robotników zatrudnionych w pewnym zjednoczeniu przemysłowym wylosowano niezależnie do próby |
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n= |
400 |
robotników i zbadano ich wydajność oraz staż pracy. Wyniki przedstawiono w tabeli poniżej. |
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Przyjmując współczynnik ufności |
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0,90 |
oszacować metodą przedziałową współczynnik korelacji wyd. pracy i stażu pracy |
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w tej populacji robotników. |
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(Podano krańce przedziałów i środki przedziałów.) |
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0 |
2 |
4 |
6 |
8 |
10 |
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Y (staż w latach) |
1 |
3 |
5 |
7 |
9 |
11 |
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2 |
4 |
6 |
8 |
10 |
12 |
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X |
(wydajność pracy) |
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10 |
12 |
14 |
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4 |
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4 |
48 |
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-9,88 |
97,6144 |
390,4576 |
-39,52 |
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14 |
16 |
18 |
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8 |
24 |
16 |
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48 |
768 |
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-5,88 |
34,5744 |
1659,5712 |
-282,24 |
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18 |
20 |
22 |
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48 |
60 |
32 |
24 |
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164 |
3280 |
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-1,88 |
3,5344 |
579,6416 |
-308,32 |
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22 |
24 |
26 |
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28 |
36 |
48 |
24 |
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136 |
3264 |
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2,12 |
4,4944 |
611,2384 |
288,32 |
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26 |
28 |
30 |
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20 |
8 |
8 |
36 |
1008 |
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6,12 |
37,4544 |
1348,3584 |
220,32 |
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30 |
32 |
34 |
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12 |
12 |
384 |
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10,12 |
102,4144 |
1228,9728 |
121,44 |
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12 |
100 |
112 |
100 |
56 |
20 |
400 |
8752 |
21,88 |
x_śr |
n*(s_x)^2 |
5818,24 |
0,00 |
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12 |
300 |
560 |
700 |
504 |
220 |
2296 |
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(s_x)^2 |
14,5456 |
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5,74 |
y_śr |
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s_x |
3,81386942618648 |
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12 |
900 |
2800 |
4900 |
4536 |
2420 |
15568 |
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38,92 |
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-4,74 |
-2,74 |
-0,74 |
1,26 |
3,26 |
5,26 |
1,56 |
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22,4676 |
7,5076 |
0,5476 |
1,5876 |
10,6276 |
27,6676 |
70,4056 |
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269,6112 |
750,76 |
61,3312 |
158,76 |
595,1456 |
553,352 |
2388,96 |
n*(s_y)^2 |
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5,9724 |
(s_y)^2 |
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2,44384942252996 |
s_y |
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187,325 |
0,000 |
0,000 |
0,000 |
0,000 |
0,000 |
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222,970 |
386,669 |
69,619 |
0,000 |
0,000 |
0,000 |
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0,000 |
247,258 |
83,472 |
-75,802 |
-147,091 |
0,000 |
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r= |
0,60606043733613 |
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u_alpha= |
1,64485362695147 |
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0,000 |
-162,646 |
-56,477 |
128,218 |
165,869 |
0,000 |
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0,606060437336131 |
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0,000 |
0,000 |
0,000 |
154,224 |
159,610 |
257,530 |
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0,60606 |
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0,052034183439176 |
R30*(1-O30^2)/L17^(1/2) |
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0,000 |
0,000 |
0,000 |
0,000 |
0,000 |
638,774 |
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0,60606043733613 |
0,554026253896954 |
<r< |
0,658094620775305 |
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2259,520 |
5,6488 |
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E[(X-EX)(Y-EY)] |
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48 |
0 |
0 |
0 |
0 |
0 |
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128 |
1152 |
1280 |
0 |
0 |
0 |
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0 |
2880 |
6000 |
4480 |
4320 |
0 |
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0 |
2016 |
4320 |
8064 |
5184 |
0 |
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0 |
0 |
0 |
3920 |
2016 |
2464 |
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0 |
0 |
0 |
0 |
0 |
4224 |
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131,240 |
5,64880000000001 |
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E(XY) |
E(XY)-E(X)E(Y) |
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