Yes

you do need a jacket based on the weather in San Francisco, CA 94122, USA 1 second ago

Why? Because it's not very warm out!
55°F13°C & Mostly Cloudy

Wind is 7 mph11 km/h from the West, gusting to 12 mph19 km/h
June 7
6am55°F13°C7 mph11 km/h WestMostly Cloudy
7am55°F13°C7 mph12 km/h WestHaze
8am54°F12°C7 mph12 km/h WestHaze
9am55°F13°C7 mph12 km/h SouthwestHaze
10am55°F13°C8 mph12 km/h WestCloudy
11am56°F13°C7 mph12 km/h WestCloudy
12pm57°F14°C8 mph12 km/h WestMostly Cloudy
1pm60°F15°C8 mph12 km/h WestMostly Cloudy
2pm62°F16°C9 mph14 km/h WestMostly Cloudy
3pm62°F17°C9 mph15 km/h WestPartly Cloudy
4pm64°F18°C10 mph16 km/h WestPartly Cloudy
5pm65°F18°C11 mph18 km/h WestPartly Cloudy
DateLowHighWindDayNight
June 754°F12°C65°F19°C10 mph16 km/h from WestMostly CloudyMostly Cloudy
June 855°F13°C63°F17°C10 mph16 km/h from WestMostly CloudyMostly Cloudy
June 954°F12°C63°F17°C10 mph16 km/h from WestMostly CloudyCloudy
June 1055°F13°C63°F17°C11 mph18 km/h from WestMostly CloudyMostly Cloudy
June 1152°F11°C61°F16°C13 mph21 km/h from WestPartly CloudyPartly Cloudy
June 1253°F12°C63°F17°C14 mph22 km/h from WestMostly ClearMostly Clear
June 1351°F11°C62°F17°C15 mph24 km/h from WestMostly ClearPartly Cloudy

Yes

Low of 55°F13°C, High of 63°F17°C
Wind: 10 mph16 km/h
Precipitation: None

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