@rsyed
I see the following:
"If your income is more than the amount shown in any of the tables below, you need to file a tax return."
So if your worldwide gross is more than Table 1 OR your California gross is more than Table 2, you must file.
At least, that's how I read it. As mentioned before, if the wage amount is low enough, there might be an exemption amount. And even if there is no exemption amount, California has no practical way to detect that you are working from your family's house instead of on a non-working vacation. You may want to speak with a California tax professional for an answer that takes account of all your specific confidential income and other information.
