Filter array by string length in javascript

I'm a really beginner in javascript

I have an array containing

array_1 = ["the","quick","brown","fox","jumped","over","the","lazy","dog"]

And I want another array but only with words that have length > 3

array_cleaned = ["quick","brown","jumped","lazy"]

How it is currently implemented:

array_1 = ["the","quick","brown","fox","jumped","over","the","lazy","dog"]

array_clean = [];
for(var i=0; i<array_1.length; i++){
    if(array_1[i].length > 3) 
        array_clean.push(array_1[i]);
}

document.write(array_clean)

But I'm looking for a way to actually filter it. Any ideas?