I think there are three types of yourself.
One version is you in public, in front of people.
One version is you with your friends or best friends,
and the last version is you by yourself.
What are you like when no one else is around? Do you stop smiling, or do you start?
For example, I know when I am by myself I like to listen to piano music with no lyrics. It's not the type of music I blast in the car when jamming with my friends, or what I turn on the radio when sitting with my family. I never play that type of music around them. I've never said I listened to it either. It's not a secret, or even a big deal, it's just something I like to do. It's interesting what people don't know about you. You think you know people, but really you'll only ever know a part of them.
At some point, we've all felt like we couldn't show up somewhere by ourselves, but why? Maybe it is because, depending on how you look at it, being alone can have a negative or positive connotation. For example, a person with a bad attitude might find themselves alone most of the time. Others might choose solitude. Others may be alone in their endeavors, pioneering the way for someone else. Do you choose to make the most of your free time, or do you squander it?
In my opinion, I think what you do by yourself shows a lot about your character. For instance, when I see people go to the dining hall by themselves, I don't think "boy, they must be lonely", I think that they have enough confidence to be happy by themselves. They aren't worried about what people will think about them for sitting alone. They are willing and able to do things independently, which is a sign of maturity in my book. I read somewhere that you'll never be lonely if you're happy with who you're alone with.
Independence is not a bad thing. It's important to have confidence in yourself and your abilities. Rely on others, but realize
you are entirely capable yourself.