ruby on rails new method failed not show

below is my code, but my problem is in my _form.html.erb, when i use the form_for method for one of my method update, it works, but when i want to create a new data, it failed.

home controller

class HomeController < ApplicationController
  def index
    @inputs = Person.all
  end

  def new
    @input = Person.new
  end

  def create
    @input = Person.new(input_params)
    respond_to do |x|
    if @input.save
        x.html {redirect_to :action => 'index'}
    else
        x.html {render :action => 'new'}
    end
   end
  end

  def show
    @input = Person.find(params[:id])
  end

  def edit
    @input = Person.find(params[:id])
  end

  def update
    @input = Person.find(params[:id])
    respond_to do |x|
      if @input.update(input_params)
        x.html {redirect_to :action => 'index'}
      else
        x.html {render :edit}
      end
    end
  end

  def destroy
    @input = Person.find(params[:id])
    @input.destroy
    respond_to do |x|
      x.html {redirect_to :action => 'index', notice: 'data was delete successfully'}
    end
  end

  private

  def input_params
    params.require(:person).permit(:name, :weight, :height, :color, :age)
  end
end

_form.html.erb

<%= form_for @input, url: {:action => "update"} do |person| %>
  <div class="field">
    <%= person.label :name %><br>
    <%= person.text_field :name %>
  </div>
  <div class="field">
    <%= person.label :weight %><br>
    <%= person.number_field :weight %>
  </div>
  <div class="field">
    <%= person.label :height %><br>
    <%= person.number_field :height %>
  </div>
  <div class="field">
    <%= person.label :color %><br>
    <%= person.text_field :color %>
  </div>
  <div class="field">
    <%= person.label :age %><br>
    <%= person.number_field :age %>
  </div>
  <div class="actions">
    <%= person.submit %>
  </div>
<% end %>

routes.rb

resources:home
root 'home#index'

index.html.erb:

<p id="notice"><%= notice %></p>
<h1>Listing</h1>

<table>
    <thead>
        <tr>
            <th>Name</th>
            <th> Weight</th>
            <th> Height</th>
            <th> Color</th>
            <th> Age</th>
            <th colspan="4"></th>
        </tr>
    </thead>
    <tbody>
        <% @inputs.each do |person| %>
        <tr>
            <td><%= person.name %></td>
            <td><%= person.weight %></td>
            <td><%= person.height %></td>
            <td><%= person.color %></td>
            <td><%= person.age %></td>
            <td><%= link_to 'Show',home_path(person.id) %></td>
            <td><%= link_to 'Edit', edit_home_path(person.id) %></td>
            <td><%= link_to 'Destroy', home_path(person.id), method: :delete, data: {action: 'are you sure?'} %></td>
        </tr>
        <% end %>
     </tbody>
 </table>
 <br>
 <%= link_to 'New Test', new_home_path %>

and lastly a screenshot of what the error is:

It has no problem when i click on 'Edit' and the 'Update'