res_demo_2 <- structure(list(x = 1:300, y_fan = c(3.0348817985377399, 1.2931780066147001, 2.8185321817111699, 0.69620831455599597, 6.97882189647523, 17.1676216256011, 3.1541591988133999, -7.0952060741479102, 6.1161961262712898, 11.7250743383778, 11.397469544686899, 20.105484601113901, 5.4441410951294102, 3.8951681114016701, 3.7543982013611998, 33.087733478746102, 18.515052514420798, 37.924512636392102, 50.197160191543503, 7.9296443009053297, 21.376524175019899, -5.9403064986935501, 26.894413301293099, 46.493238854837003, 15.8694724579927, 37.506982721940901, 9.7843954989593005, 5.6800087942456798, 24.8432757432759, 20.2346507325754, 4.4756956312108001, 14.4976027431033, 25.982311570480402, 83.0817340615896, 82.656027204637198, 76.685759781963597, -26.914053367352398, -55.061081100135297, -0.60105974512893601, 16.07764666161, 103.05943625379101, 19.555028847290401, 12.930226270986401, 45.373636221575701, 49.511578648320203, 98.770266298680895, 88.823679067742503, 66.723236618203501, 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