The stock does impact individuals even if they don't personally invest in the stock market. There are 2 reasons for this.
First, the stock market has a big psychological impact on all individuals and on all companies. Second, companies will change their products and their prices depending upon the direction of the stock market. For example, a stronger stock market would allow a company like apple to raise their prices on their iPhones. Therefore, this price increase will affect all consumers, regardless if they have any money in the stock market at all. If the stock market (economy) is weak, companies may lower their prices in order to attract more sales. For example, gasoline prices are typically lower in a weak economy, thus everyone benefits from lower gasoline prices.