How do you make a Npc follow your trail?

When i say trail im not talking about something that shows behind you when your walking im talking about your Walking trail. When i script the npc to follow the character it turns out it doesnt follow the way the player went it just cuts corners in order to get to the humanoid here is the script i used to try to TRAIL the player.

local larm = script.Parent:FindFirstChild("HumanoidRootPart")
local rarm = script.Parent:FindFirstChild("HumanoidRootPart")

function findNearestTorso(pos)
    local list = game.Workspace:children()
    local torso = nil
    local dist = 10000
    local temp = nil
    local human = nil
    local temp2 = nil
    for x = 1, #list do
        temp2 = list[x]
        if (temp2.className == "Model") and (temp2 ~= script.Parent) then
            temp = temp2:findFirstChild("HumanoidRootPart")
            human = temp2:findFirstChild("Humanoid")
            if (temp ~= nil) and (human ~= nil) and (human.Health > 0) then
                if (temp.Position - pos).magnitude < dist then
                    torso = temp
                    dist = (temp.Position - pos).magnitude
                end
            end
        end
    end
    return torso
end




while true do
    wait(math.random(1,5))
    local target = findNearestTorso(script.Parent.HumanoidRootPart.Position)
    if target ~= nil then
        script.Parent.Humanoid:MoveTo(target.Position, target)
    end

end