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Нижняя граница К1..
N2 N1 | |||||||||||||||||||
Верхняя граница К2.
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N2 N1 | |||||||||||||||||
Приложение 2.
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Распределение Дарбина-Уотсона.
n – объем выборки, m – число объясняющих переменных, dl и du – критические точки при уровне значимости .
n | m=1 | m=2 | m=3 | m=4 | ||||
dl | du | dl | du | dl | du | dl | du | |
0,610 | 1,400 | |||||||
0,700 | 1,356 | 0,467 | 1,896 | |||||
0,763 | 1,332 | 0,359 | 1,777 | 0,368 | 2,287 | |||
0,824 | 1,320 | 0,629 | 1,699 | 0,435 | 2,128 | 0,296 | 2,388 | |
0,879 | 1,320 | 0,697 | 1,641 | 0,525 | 2,016 | 0,376 | 2,414 | |
0,927 | 1,324 | 0,658 | 1,604 | 0,595 | 1,928 | 0,444 | 2,283 | |
0,971 | 1,331 | 0,812 | 1,579 | 0,658 | 1,864 | 0,512 | 2,177 | |
1,010 | 1,340 | 0,861 | 1,562 | 0,715 | 1,816 | 0,574 | 2,094 | |
1,045 | 1,330 | 0,905 | 1,551 | 0,767 | 1,779 | 0,632 | 2,030 | |
1,077 | 1,361 | 0,946 | 1,543 | 0,814 | 1,750 | 0,685 | 1,977 | |
1,106 | 1,371 | 0,982 | 1,539 | 0,857 | 1,728 | 0,734 | 1,935 | |
1,133 | 1,381 | 1,015 | 1,536 | 0,897 | 1,710 | 0,779 | 1,90 | |
1,158 | 1,391 | 1,046 | 1,535 | 0,933 | 1,696 | 0,820 | 1,872 | |
1,180 | 1,401 | 1,074 | 1,536 | 0,967 | 1,685 | 0,859 | 1,848 | |
1,201 | 1,411 | 1,100 | 1,537 | 0,998 | 1,676 | 0,894 | 1,828 | |
1,221 | 1,420 | 1,125 | 1,538 | 1,026 | 1,669 | 0,927 | 1,812 | |
1,239 | 1,429 | 1,147 | 1,541 | 1,053 | 1,664 | 0,958 | 1,797 | |
1,257 | 1,437 | 1,168 | 1,543 | 1,078 | 1,660 | 0,986 | 1,785 | |
1,273 | 1,446 | 1,188 | 1,546 | 1,101 | 1,656 | 1,013 | 1,775 | |
1,288 | 1,454 | 1,206 | 1,550 | 1,123 | 1,654 | 1,038 | 1,767 | |
1,302 | 1,461 | 1,224 | 1,553 | 1,143 | 1,652 | 1,062 | 1,759 | |
1,316 | 1,469 | 1,240 | 1,556 | 1,162 | 1,651 | 1,084 | 1,753 | |
1,328 | 1,476 | 1,255 | 1,560 | 1,181 | 1,650 | 1,104 | 1,747 | |
1,341 | 1,483 | 1,270 | 1,563 | 1,198 | 1,650 | 1,124 | 1,743 | |
1,352 | 1,489 | 1,284 | 1,567 | 1,214 | 1,650 | 1,143 | 1,739 | |
1,363 | 1,496 | 1,297 | 1,570 | 1,229 | 1,650 | 1,160 | 1,735 | |
1,373 | 1,502 | 1,309 | 1,574 | 1,244 | 1,650 | 1,177 | 1,732 | |
1,383 | 1,508 | 1,321 | 1,577 | 1,258 | 1,651 | 1,193 | 1,730 | |
1,393 | 1,514 | 1,333 | 1,580 | 1,271 | 1,652 | 1,208 | 1,728 | |
1,402 | 1,519 | 1,343 | 1,584 | 1,283 | 1,653 | 1,222 | 1,726 | |
1,411 | 1,525 | 1,354 | 1,587 | 1,295 | 1,654 | 1,236 | 1,724 | |
1,419 | 1,530 | 1,364 | 1,590 | 1,307 | 1,655 | 1,249 | 1,723 | |
1,427 | 1,535 | 1,373 | 1,594 | 1,318 | 1,656 | 1,261 | 1,722 | |
1,435 | 1,540 | 1,382 | 1,597 | 1,328 | 1,658 | 1,273 | 1,722 | |
1,442 | 1,544 | 1,391 | 1,600 | 1,338 | 1,659 | 1,285 | 1,721 | |
1,475 | 1,566 | 1,430 | 1,615 | 1,383 | 1,665 | 1,336 | 1,720 | |
1,503 | 1,585 | 1,462 | 1,628 | 1,421 | 1,674 | 1,378 | 1,721 | |
1,528 | 1,601 | 1,490 | 1,641 | 1,452 | 1,681 | 1,414 | 1,724 | |
1,549 | 1,616 | 1,514 | 1,652 | 1,480 | 1,689 | 1,444 | 1,727 | |
1,567 | 1,629 | 1,536 | 1,662 | 1,503 | 1,696 | 1,471 | 1,731 | |
1,583 | 1,641 | 1,554 | 1,672 | 1,525 | 1,703 | 1,494 | 1,735 | |
1,598 | 1,650 | 1,571 | 1,680 | 1,543 | 1,709 | 1,515 | 1,739 | |
1,611 | 1,662 | 1,586 | 1,688 | 1,560 | 1,715 | 1,534 | 1,743 | |
1,624 | 1,671 | 1,600 | 1,696 | 1,575 | 1,721 | 1,550 | 1,747 | |
1,635 | 1,679 | 1,612 | 1,703 | 1,589 | 1,726 | 1,566 | 1,751 | |
1,645 | 1,687 | 1,623 | 1,709 | 1,602 | 1,732 | 1,579 | 1,755 | |
1,654 | 1,694 | 1,634 | 1,715 | 1,613 | 1,736 | 1,592 | 1,758 | |
1,720 | 1,746 | 1,706 | 1,760 | 1,693 | 1,774 | 1,679 | 1,788 | |
1,758 | 1,778 | 1,748 | 1,789 | 1,738 | 1,799 | 1,728 | 1,810 |
m=5 | m=6 | m=7 | m=8 | m=9 | |||||
dl | du | dl | du | dl | du | dl | du | dl | du |
0,243 | 2,822 | ||||||||
0,316 | 2,645 | 0,203 | 3,005 | ||||||
0,379 | 2,506 | 0,268 | 2,832 | 0,171 | 3,149 | ||||
0,445 | 2,39 | 0,328 | 2,692 | 0,230 | 2,985 | 0,147 | 3,266 | ||
0,505 | 2,296 | 0,389 | 2,572 | 0,286 | 2,848 | 0,200 | 3,111 | 0,127 | 3,360 |
0,562 | 2,220 | 0,447 | 2,472 | 0,343 | 2,727 | 0,251 | 2,979 | 0,175 | 3,216 |
0,615 | 2,157 | 0,502 | 2,388 | 0,398 | 2,624 | 0,304 | 2,86 | 0,222 | 3,090 |
0,664 | 2,104 | 0,554 | 2,318 | 0,451 | 1,537 | 0,356 | 2,757 | 0,272 | 2,975 |
0,710 | 2,060 | 0,603 | 2,257 | 0,502 | 2,461 | 0,407 | 2,667 | 0,321 | 2,873 |
0,752 | 2,023 | 0,649 | 2,206 | 0,549 | 2,396 | 0,456 | 2,589 | 0,416 | 2,783 |
0,792 | 1,991 | 0,692 | 2,162 | 0,595 | 2,339 | 0,502 | 2,521 | 0,415 | 2,704 |
0,829 | 1,964 | 0,732 | 2,124 | 0,637 | 2,290 | 0,547 | 2,460 | 0,461 | 2,633 |
0,863 | 1,940 | 0,769 | 2,090 | 0,677 | 2,246 | 0,588 | 2,407 | 0,504 | 2,571 |
0,895 | 1,920 | 0,804 | 2,061 | 0,715 | 2,208 | 0,628 | 2,360 | 0,545 | 2,514 |
0,925 | 1,902 | 0,837 | 2,035 | 0,751 | 2,174 | 0,666 | 2,318 | 0,584 | 2,464 |
0,953 | 1,886 | 0,868 | 2,012 | 0,784 | 2,144 | 0,702 | 2,280 | 0,621 | 2,419 |
0,979 | 1,873 | 0,897 | 1,992 | 0,816 | 2,117 | 0,735 | 2,246 | 0,657 | 2,379 |
1,004 | 1,861 | 0,925 | 1,974 | 0,845 | 2,093 | 0,767 | 2,216 | 0,691 | 2,342 |
1,028 | 1,850 | 0,951 | 1,958 | 0,874 | 2,071 | 0,798 | 2,183 | 0,723 | 2,309 |
1,050 | 1,841 | 0,975 | 1,944 | 0,900 | 2,052 | 0,826 | 2,164 | 0,753 | 2,278 |
1,071 | 1,833 | 0,998 | 1,931 | 0,926 | 2,034 | 0,854 | 2,141 | 0,782 | 2,251 |
1,090 | 1,825 | 1,020 | 1,920 | 0,950 | 2,018 | 0,879 | 2,120 | 0,810 | 2,226 |
1,109 | 1,819 | 1,041 | 1,909 | 0,972 | 2,004 | 0,904 | 2,102 | 0,836 | 2,203 |
1,127 | 1,813 | 1,061 | 1,900 | 0,994 | 1,991 | 0,927 | 2,085 | 0,861 | 2,181 |
1,144 | 1,808 | 1,080 | 1,891 | 1,015 | 1,979 | 0,950 | 2,069 | 0,885 | 2,162 |
1,160 | 1,803 | 1,097 | 1,884 | 1,034 | 1,967 | 0,971 | 2,054 | 0,908 | 2,144 |
1,175 | 1,799 | 1,114 | 1,877 | 1,053 | 1,957 | 0,991 | 2,041 | 0,930 | 2,127 |
1,190 | 1,795 | 1,131 | 1,870 | 1,071 | 1,948 | 1,011 | 2,029 | 0,951 | 2,112 |
1,204 | 1,792 | 1,146 | 1,864 | 1,088 | 1,939 | 1,029 | 2,017 | 0,970 | 2,098 |
1,218 | 1,789 | 1,161 | 1,859 | 1,104 | 1,932 | 1,047 | 2,007 | 0,990 | 2,085 |
1,230 | 1,786 | 1,175 | 1,854 | 1,120 | 1,924 | 1,064 | 1,997 | 1,089 | 2,072 |
1,287 | 1,776 | 1,238 | 1,835 | 1,189 | 1,895 | 1,139 | 1,958 | 1,156 | 2,022 |
1,335 | 1,771 | 1,291 | 1,822 | 1,246 | 1,875 | 1,201 | 1,930 | 1,212 | 1,986 |
1,374 | 1,768 | 1,334 | 1,814 | 1,294 | 1,861 | 1,253 | 1,909 | 1,260 | 1,959 |
1,408 | 1,767 | 1,372 | 1,808 | 1,335 | 1,850 | 1,296 | 1,894 | 1,301 | 1,939 |
1,438 | 1,767 | 1,404 | 1,805 | 1,370 | 1,843 | 1,336 | 1,882 | 1,337 | 1,923 |
1,464 | 1,768 | 1,433 | 1,802 | 1,401 | 1,837 | 1,369 | 1,873 | 1,369 | 1,910 |
1,487 | 1,770 | 1,458 | 1,801 | 1,428 | 1,834 | 1,399 | 1,867 | 1,397 | 1,901 |
1,507 | 1,772 | 1,480 | 1,801 | 1,453 | 1,831 | 1,425 | 1,861 | 1,422 | 1,893 |
1,525 | 1,774 | 1,500 | 1,801 | 1,474 | 1,829 | 1,448 | 1,857 | 1,445 | 1,886 |
1,542 | 1,776 | 1,518 | 1,801 | 1,494 | 1,827 | 1,469 | 1,854 | 1,465 | 1,881 |
1,557 | 1,778 | 1,535 | 1,802 | 1,512 | 1,827 | 1,489 | 1,852 | 1,484 | 1,877 |
1,571 | 1,780 | 1,550 | 1,803 | 1,528 | 1,826 | 1,506 | 1,850 | 1,608 | 1,874 |
1,665 | 1,802 | 1,651 | 1,817 | 1,637 | 1,832 | 1,622 | 1,847 | 1,608 | 1,862 |
1,718 | 1,820 | 1,707 | 1,831 | 1,697 | 1,841 | 1,686 | 1,852 | 1,675 | 1,863 |
[1] Рассчитывается как сумма объема продаж за 4 квартала, деленная на 4. 84=(63+74+79+120)/4
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[2] Рассчитывается как сумма 2 кварталов деленная на 2. 84,5=(84+85)/2
[3] Рассчитывается как отношение объема продаж на центрированную скользящую среднюю. 0,935=79/84,5