Yes

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

Why? Because it's not very warm out and it's so windy, your hat is now someone else's problem, two cities away!
52°F11°C & Clear

Wind is 15 mph24 km/h from the West, gusting to 29 mph46 km/h
November 1
7pm52°F11°C15 mph24 km/h WestMostly Clear
8pm51°F10°C14 mph23 km/h WestMostly Clear
9pm49°F9°C12 mph20 km/h WestMostly Clear
10pm47°F8°C10 mph17 km/h WestMostly Clear
11pm45°F7°C9 mph15 km/h WestMostly Cloudy
November 2
12am44°F6°C8 mph13 km/h WestPartly Cloudy
1am42°F6°C7 mph11 km/h WestPartly Cloudy
2am42°F5°C6 mph10 km/h WestPartly Cloudy
3am41°F5°C6 mph9 km/h WestPartly Cloudy
4am40°F4°C5 mph8 km/h WestPartly Cloudy
5am39°F4°C5 mph8 km/h WestPartly Cloudy
6am38°F3°C5 mph8 km/h WestPartly Cloudy
DateLowHighWindDayNight
November 140°F4°C52°F11°C11 mph17 km/h from WestMostly ClearPartly Cloudy
November 235°F2°C52°F11°C7 mph12 km/h from WestMostly ClearMostly Clear
November 338°F3°C57°F14°C9 mph15 km/h from SouthwestDrizzleMostly Clear
November 442°F5°C53°F12°C12 mph19 km/h from WestMostly ClearMostly Clear
November 540°F4°C53°F12°C6 mph10 km/h from SouthwestMostly CloudyDrizzle
November 635°F2°C50°F10°C11 mph18 km/h from NorthwestMostly ClearMostly Clear
November 734°F1°C54°F12°C9 mph14 km/h from SouthwestMostly CloudyDrizzle

Yes

Low of 35°F2°C, High of 52°F11°C
Wind: 7 mph12 km/h
Precipitation: None

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