Yes

you do need a jacket based on the weather in Neuchâtel, Switzerland 1 second ago

Why? Because the drizzle is not enough rain to call it "raining," but enough to make you a little soggy and it's quite chilly!
38°F3°C & Drizzle

Wind is 2 mph3 km/h from the Northeast, gusting to 5 mph8 km/h
March 15
11pm38°F3°C2 mph3 km/h EastDrizzle
March 16
12am37°F3°C2 mph3 km/h SoutheastDrizzle
1am37°F3°C2 mph4 km/h SouthDrizzle
2am37°F3°C2 mph3 km/h SouthwestDrizzle
3am37°F3°C2 mph3 km/h SouthDrizzle
4am37°F3°C2 mph3 km/h SouthFoggy
5am38°F3°C2 mph4 km/h SouthCloudy
6am39°F4°C2 mph4 km/h SouthCloudy
7am40°F4°C2 mph3 km/h SouthCloudy
8am41°F5°C2 mph3 km/h SouthCloudy
9am41°F5°C1 mph2 km/h SoutheastCloudy
10am42°F5°C2 mph3 km/h EastCloudy
DateLowHighWindDayNight
March 1537°F3°C42°F5°C2 mph3 km/h from SoutheastDrizzleMostly Cloudy
March 1635°F2°C46°F8°C12 mph19 km/h from NortheastPartly CloudyMostly Clear
March 1732°F0°C51°F10°C3 mph4 km/h from EastClearClear
March 1835°F1°C54°F12°C1 mph2 km/h from SoutheastClearMostly Clear
March 1938°F3°C58°F14°C2 mph3 km/h from EastMostly ClearMostly Cloudy
March 2043°F6°C55°F13°C2 mph3 km/h from SoutheastMostly CloudyCloudy
March 2142°F6°C59°F15°C2 mph3 km/h from SouthMostly CloudyDrizzle

Yes

Low of 35°F2°C, High of 46°F8°C
Wind: 12 mph19 km/h
Precipitation: None

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