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Dados Cidade % de motoristas habilitados com menos de 21 (x) Acidentes fatais por mil CNH (y) xi - mediax (xi-mediax)^2 yi - mediay (yi - mediay)^2 D * F Ŷ (yi - Ŷ)^2 (Ŷ-mediay)^2 1 13 2.962 0.7380952381 0.5447845805 1.0395952381 1.0807582591 0.7673202948 2.1342773403 0.6851248014 0.0448899895 media de x 12.2619047619 2 12 0.708 -0.2619047619 0.0685941043 -1.2144047619 1.4747789257 0.31805839 1.8472241696 1.2978317086 0.0056521215 desvio padrão de x 3.1317378002 3 8 0.885 -4.2619047619 18.1638321995 -1.0374047619 1.07620864 4.4213202948 0.6990114868 0.0345917271 1.4966911057 media de y 1.9224047619 4 12 1.652 -0.2619047619 0.0685941043 -0.2704047619 0.0731187353 0.0708202948 1.8472241696 0.0381124764 0.0056521215 desvio padrão de y 1.0709896053 5 11 2.091 -1.2619047619 1.5924036281 0.1685952381 0.0284243543 -0.2127511338 1.5601709989 0.2817794284 0.1312132991 pearson xy 0.8393874795 6 17 2.627 4.7380952381 22.4495464853 0.7045952381 0.4964544495 3.3384393424 3.2824900231 0.4296671704 1.8498319177 7 18 3.83 5.7380952381 32.9257369615 1.9075952381 3.6389195924 10.9459631519 3.5695431938 0.0678377479 2.7130650138 8 8 0.368 -4.2619047619 18.1638321995 -1.5544047619 2.4161741638 6.6247250567 0.6990114868 0.1095686044 1.4966911057 9 13 1.142 0.7380952381 0.5447845805 -0.7804047619 0.6090315924 -0.5760130385 2.1342773403 0.98461432 0.0448899895 10 8 0.645 -4.2619047619 18.1638321995 -1.2774047619 1.6317629257 5.4441774376 0.6990114868 0.0029172407 1.4966911057 11 9 1.028 -3.2619047619 10.6400226757 -0.8944047619 0.7999598781 2.9174631519 0.9860646575 0.001758573 0.8767327912 12 16 2.801 3.7380952381 13.9733560091 0.8785952381 0.7719295924 3.2842726757 2.9954368524 0.0378056896 1.1513978672 b1 0.2870531707 0.2870531707 13 12 1.405 -0.2619047619 0.0685941043 -0.5174047619 0.2677076876 0.135510771 1.8472241696 0.1955622162 0.0056521215 b0 -1.5974138789 14 9 1.433 -3.2619047619 10.6400226757 -0.4894047619 0.239517021 1.5963917234 0.9860646575 0.1997512004 0.8767327912 15 10 0.039 -2.2619047619 5.1162131519 -1.8834047619 3.5472134972 4.2600821995 1.2731178282 1.5230468138 0.4215735223 R^2 0.7045713408 0.7045713408 16 9 0.338 -3.2619047619 10.6400226757 -1.5844047619 2.5103384495 5.1681774376 0.9860646575 0.4199878003 0.8767327912 17 11 1.849 -1.2619047619 1.5924036281 -0.0734047619 0.0053882591 0.0926298186 1.5601709989 0.0834221919 0.1312132991 18 12 2.246 -0.2619047619 0.0685941043 0.3235952381 0.1047138781 -0.0847511338 1.8472241696 0.1590221629 0.0056521215 AS RESPOSTAS DEFINITIVAS ESTÃO 19 14 2.855 1.7380952381 3.0209750567 0.9325952381 0.8697338781 1.6209393424 2.421330511 0.1880692257 0.2489269031 NO PRÓXIMO WORKSHEET 20 14 2.352 1.7380952381 3.0209750567 0.4295952381 0.1845520686 0.7466774376 2.421330511 0.0048067198 0.2489269031 21 11 1.294 -1.2619047619 1.5924036281 -0.6284047619 0.3948925448 0.7929869615 1.5601709989 0.0708470006 0.1312132991 22 17 4.1 4.7380952381 22.4495464853 2.1775952381 4.741921021 10.3176536281 3.2824900231 0.6683225623 1.8498319177 23 8 2.19 -4.2619047619 18.1638321995 0.2675952381 0.0716072115 -1.1404654195 0.6990114868 2.2230467466 1.4966911057 24 16 3.623 3.7380952381 13.9733560091 1.7005952381 2.8920241638 6.3569869615 2.9954368524 0.3938355042 1.1513978672 25 15 2.623 2.7380952381 7.4971655329 0.7005952381 0.4908336876 1.9182964853 2.7083836817 0.0072903731 0.6177628623 26 9 0.835 -3.2619047619 10.6400226757 -1.0874047619 1.1824491162 3.547010771 0.9860646575 0.0228205307 0.8767327912 27 8 0.82 -4.2619047619 18.1638321995 -1.1024047619 1.2152962591 4.6983441043 0.6990114868 0.0146382203 1.4966911057 28 14 2.89 1.7380952381 3.0209750567 0.9675952381 0.9362405448 1.6817726757 2.421330511 0.2196510899 0.2489269031 29 8 1.267 -4.2619047619 18.1638321995 -0.6554047619 0.4295554019 2.7932726757 0.6990114868 0.3226109512 1.4966911057 30 15 3.224 2.7380952381 7.4971655329 1.3015952381 1.6941501638 3.5638917234 2.7083836817 0.2658601877 0.6177628623 31 10 1.014 -2.2619047619 5.1162131519 -0.9084047619 0.8251992115 2.0547250567 1.2731178282 0.0671420489 0.4215735223 32 10 0.493 -2.2619047619 5.1162131519 -1.4294047619 2.0431979734 3.2331774376 1.2731178282 0.6085838258 0.4215735223 33 14 1.443 1.7380952381 3.0209750567 -0.4794047619 0.2298289257 -0.8332511338 2.421330511 0.9571305887 0.2489269031 34 18 3.614 5.7380952381 32.9257369615 1.6915952381 2.8614944495 9.7065345805 3.5695431938 0.0019764076 2.7130650138 35 10 1.926 -2.2619047619 5.1162131519 0.0035952381 0.0000129257 -0.0081320862 1.2731178282 0.4262551303 0.4215735223 36 14 1.643 1.7380952381 3.0209750567 -0.2794047619 0.078067021 -0.4856320862 2.421330511 0.6057983843 0.2489269031 37 16 2.943 3.7380952381 13.9733560091 1.0205952381 1.04161464 3.8150821995 2.9954368524 0.0027496235 1.1513978672 38 12 1.913 -0.2619047619 0.0685941043 -0.0094047619 0.0000884495 0.0024631519 1.8472241696 0.0043264599 0.0056521215 39 15 2.814 2.7380952381 7.4971655329 0.8915952381 0.7949420686 2.4412726757 2.7083836817 0.0111548067 0.6177628623 40 13 2.634 0.7380952381 0.5447845805 0.7115952381 0.5063677829 0.5252250567 2.1342773403 0.2497227366 0.0448899895 41 9 0.926 -3.2619047619 10.6400226757 -0.9964047619 0.9928224495 3.2501774376 0.9860646575 0.0036077631 0.8767327912 42 17 3.256 4.7380952381 22.4495464853 1.3335952381 1.7784762591 6.3187012472 3.2824900231 0.0007017213 1.8498319177 Σ 402.11904761904782 47.027768119 115.429547619 13.8933504822 33.1344176368 Respostas a) Uma simples análise visual já nos mostra que existe uma correlação positiva entre a % de motoristas abaixo de 21 anos e o número de acidentes fatais numa cidade b) equação de regressão Ŷ = -1,597 + 0,287 * X c) R² = 0,705 d) Dada a natureza do estudo, o R² de 0,7 é um valor bastante razoável e nos permite concluir que o modelo calculado é adequado
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