Eloquent formatting data with __get

I’m quite new to PHP / Eloquent in general and I’m trying to make a little data formatter in my Model class.

public function __get($key)
{
    switch ($key) {
        case "preferred":
            $this->attributes[$key . "_formatted"] = ($this->getAttribute($key) == 1) ? "Yes" : "No";
            break;
    }

    return parent::__get($key);
}

which works fine, it formats the data I want it to format. Thought when I want to $model->update() I get the error

SQLSTATE[42S22]: Column not found: 1054 Unknown column 'preferred_formatted' in 'field list' 

Is there a way so I can make it so when I update my $model it doesn’t look for preferred_formatted.
I’ve tried making it hidden but to no avail, I’ve also tried some different solutions but at this point I’m not sure if there’s a better way to format data or if I’m doing something wrong, any help is appreciated.