There's a type of home electronic gadget called a weather station. Weather stations can display the temperature and other things. There's usually a base station, plus a wireless outdoor sensor. An example weather station is the La Crosse 308-1417. Here's a photo from Amazon:
Many weather stations can generate weather forecasts locally. Others can use Wi-Fi to fetch and display forecasts from AccuWeather or another service.
During Shabbos, if you leave a high-end weather station plugged in: It will generate or fetch weather forecasts automatically, and it will display them on-screen. Is it okay to let it do these things, and to look at the screen to view the forecasts?
You don't have to push any buttons or tap the screen. It's all automatic.
If you cite sources, please preferably cite Modern Orthodox ones. Thanks!
Related: Can one use a weather-dependent lawn sprinkler on Shabbat?