* Real Consumption Expenditure and Real Disposable Income: Log Transformation; data fred; c y 7.47902 7.57840 7.49159 7.58381 7.48762 7.58467 7.48897 7.58406 7.48869 7.59312 7.50346 7.60808 7.50829 7.62164 7.52812 7.64108 7.53871 7.65050 7.55092 7.66162 7.55899 7.66716 7.57307 7.67536 7.57978 7.68363 7.58929 7.69307 7.60280 7.70432 7.61115 7.72073 7.63070 7.74049 7.64812 7.76731 7.66632 7.78018 7.66912 7.79169 7.69111 7.80278 7.70210 7.81379 7.71913 7.84094 7.74686 7.86100 7.76153 7.87032 7.76408 7.87272 7.77549 7.88525 7.77963 7.89663 7.78543 7.91147 7.79897 7.91965 7.80409 7.92916 7.81023 7.93645 7.83384 7.95374 7.84905 7.97022 7.86768 7.97223 7.87227 7.97879 7.88341 7.98050 7.88976 7.99054 7.89458 8.01066 7.90252 8.01793 7.90864 8.02293 7.91323 8.04029 7.92194 8.05370 7.91921 8.05042 7.93816 8.07006 7.94729 8.08496 7.95522 8.08939 7.97171 8.09992 7.98497 8.10618 8.00390 8.11555 8.01922 8.13582 8.04241 8.17484 8.06054 8.18610 8.06004 8.19594 8.06360 8.20095 8.06067 8.21308 8.05188 8.19762 8.05535 8.18900 8.05947 8.19213 8.04472 8.18758 8.05306 8.18365 8.06959 8.22932 8.08376 8.21571 8.09429 8.22577 8.11409 8.24039 8.12320 8.24858 8.13373 8.25757 8.14665 8.26472 8.15803 8.26552 8.16354 8.27685 8.17304 8.29175 8.18799 8.31169 8.19382 8.31786 8.21498 8.32927 8.21916 8.33737 8.22719 8.34517 8.23223 8.35606 8.23164 8.34904 8.24141 8.35475 8.24407 8.36271 8.24234 8.36549 8.21938 8.35140 8.23004 8.36164 8.24328 8.38208 8.24874 8.37979 8.24874 8.37991 8.25279 8.40187 8.24520 8.40389 8.25164 8.40505 8.25523 8.41201 8.26287 8.41640 8.28094 8.41989 8.29069 8.42775 8.31034 8.43501 8.32787 8.44992 8.34360 8.47033 8.35213 8.49196 8.36635 8.50904 8.37402 8.52449 8.38711 8.53395 8.40394 8.53149 8.41299 8.55115 8.43181 8.54495 8.43401 8.55524 8.44232 8.56709 8.45291 8.57838 8.47025 8.58360 8.47625 8.58420 8.47472 8.59033 8.48803 8.57942 8.49911 8.59715 8.50151 8.61125 8.51807 8.62373 8.52532 8.63307 8.53319 8.64074 8.54489 8.64971 8.54856 8.66102 8.55302 8.65692 8.56333 8.66337 8.56821 8.67100 8.57609 8.67848 8.57938 8.68506 8.58317 8.68577 8.57537 8.67901 8.57251 8.68208 8.58011 8.68965 8.58392 8.69175 8.58347 8.69825 8.60052 8.71324 8.60643 8.72087 8.61742 8.72593 8.62956 8.74005 8.63359 8.72526 8.64314 8.74071 8.65394 8.74285 8.66280 8.75749 8.67387 8.75347 8.68127 8.77038 8.68925 8.77769 8.69907 8.79088 8.70023 8.79734 8.70839 8.79743 8.71729 8.80490 8.72431 8.81079 8.73342 8.82139 8.74466 8.83209 8.75062 8.84057 8.75874 8.84604 8.76876 8.85494 8.77280 8.86241 8.78966 8.87380 8.80103 8.88758 8.81094 8.91007 8.82800 8.92426 8.84117 8.93472 8.85639 8.94200 8.86620 8.94877 8.88182 8.95105 8.89377 8.95750 8.90778 8.97306 8.92283 8.99385 8.93219 9.00404 8.94193 9.01461 8.95073 9.01610 8.95471 9.02359 8.95848 9.02084 8.96287 9.04600 8.97841 9.03426 8.98185 9.06087 8.98692 9.06634 8.99368 9.06291 8.99722 9.06527 9.00237 9.06893 9.01162 9.08393 9.02547 9.09778 9.03097 9.10347 9.04045 9.10785 9.04584 9.11768 9.05437 9.12434 9.06580 9.13814 9.07326 9.12583 9.08284 9.13270 9.08993 9.13863 9.09251 9.14406 9.10349 9.16260 9.10886 9.17132 9.11501 9.17601 9.12496 9.18899 9.13401 9.19322 9.13686 9.19449 9.14159 9.19866 9.14459 9.19890 9.14309 9.19287 9.14324 9.21622 9.13429 9.19404 9.12645 9.20235 9.12796 9.20295 9.12576 9.21806 9.13266 9.20878 9.13664 9.21119