Yes

you do need a jacket based on the weather in Shrewsbury, MA, USA 1 second ago

Why? Because the cold's there, but it's just a reminder, not an invasion!
47°F8°C & Clear

Wind is 6 mph10 km/h from the Southwest, gusting to 15 mph24 km/h
October 11
12am46°F8°C5 mph9 km/h SouthwestMostly Clear
1am45°F7°C5 mph9 km/h SouthwestMostly Clear
2am45°F7°C5 mph8 km/h SouthwestMostly Clear
3am44°F7°C4 mph7 km/h SouthwestMostly Clear
4am44°F7°C4 mph6 km/h SouthwestPartly Cloudy
5am44°F7°C4 mph6 km/h SouthwestPartly Cloudy
6am45°F7°C4 mph6 km/h SouthwestPartly Cloudy
7am45°F7°C2 mph4 km/h SouthwestMostly Cloudy
8am48°F9°C2 mph4 km/h SouthwestPartly Cloudy
9am52°F11°C3 mph4 km/h SouthPartly Cloudy
10am56°F14°C4 mph6 km/h SouthPartly Cloudy
11am60°F16°C5 mph8 km/h SouthPartly Cloudy
DateLowHighWindDayNight
October 1033°F0°C60°F15°C3 mph4 km/h from SouthwestClearMostly Clear
October 1144°F7°C65°F18°C4 mph6 km/h from SouthMostly CloudyMostly Cloudy
October 1249°F9°C59°F15°C11 mph17 km/h from NortheastDrizzleRain
October 1350°F10°C54°F12°C15 mph24 km/h from NortheastRainRain
October 1448°F9°C57°F14°C10 mph15 km/h from NorthDrizzleMostly Cloudy
October 1546°F8°C59°F15°C8 mph13 km/h from NorthMostly CloudyPartly Cloudy
October 1641°F5°C51°F11°C10 mph17 km/h from NorthwestMostly CloudyPartly Cloudy

Yes

Low of 44°F7°C, High of 64°F18°C
Wind: 4 mph6 km/h
Precipitation: None

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