外部キーが保存できない!!!!!!!!!!!

ruby初心者です。
もう一週間ほど悩んでいて、病んできたので助けて欲しいです。
coordinationのnewビューに表示させているouterテーブルにある画像をcheck_boxで送信し、coordinationテーブルの外部キーouter_idに保存したいです。

ですがcoordinationの主キーは保存され、外部キーは保存されません。
なお、エラーは出てきません。
どなたか助けて欲しいです。

coordination/new.html.haml

.lists
  .cloth
    服一覧
    = form_for @outer do |f|
      = f.label :"アウター", class: "outer-btn"
      = f.file_field :outer, class: "file-btn"
      = f.submit "追加", class: "add-btn"
    %br

    .bbbbb
      V
      - @outers.each do |outer|
        = form_for @coordination do |q|
          = image_tag outer.outer, class: 'apapap' if outer.present?
          = q.text_field :coordination, class: "apapap"
          = q.check_box :OuterId, as: :boolean, class: "apapap"
          = q.submit "送信", class: "apapap"

coordination.controller

class CoordinationsController < ApplicationController
  before_action :coordination_params ,only:[:create]
  def index
    @coordination = Coordination.new
  end

  def new
    @coordinations = Coordination.all
    @outers = Outer.all
    @inners = Inner.all
    @bottoms = Bottom.all
    @shoes = Shoe.all
    @hats = Hat.all
    @accessories = Accessory.all
    @coordination = Coordination.new
    @outer = Outer.new
    @inner = Inner.new
    @bottom = Bottom.new
    @shoe = Shoe.new
    @hat = Hat.new
    @accessory = Accessory.new
  end

  def create
    @coordination = Coordination.create!(coordination_params)
  end
  def show
    @coordinaitions = Coordination.all
  end

  def edit
    @coordinations = Coordination.find(params[id])
    @outers = Outer.find(params[id])
    @inners = Inner.find(params[id])
    @bottoms = Bottom.find(params[id])
    @shoes = Shoe.find(params[id])
    @hats = Hat.find(params[id])
    @accessories = Accessory.find(params[id])
  end

  def update
    
    @coordinations = Coordination.find(params[id])
    
    @inners = Inner.find(params[id])
    @bottoms = Bottom.find(params[id])
    @shoes = Shoe.find(params[id])
    @hats = Hat.find(params[id])
    @accessories = Accessory.find(params[id])
  end

  private
  def coordination_params
    params.require(:coordination).permit(:season, :coordination, :inner_id, :bottom_id, :shoes_id, :hat_id, :accessory_id, :outer_id).merge(user_id: current_user.id)
  end
end

outerのコントローラー

class OutersController < ApplicationController

  def index
    @outers = Outer.all
  end
  def new 
    @outer = Outer.new
    @outer.coordination.build
  end

  def create
    Outer.create(outer_params)
  end

  def edit
    # binding.pry
    @outers = Outer.find(params[id])
  end
  def update
    @outers = Outer.find(params[id])
  end
  def destroy
    outer = Outer.find(params[:id])
    outer.destroy
  end

  private
  def outer_params
    params.require(:outer).permit(:outer)
  end
end

coordinationのmigrationファイル

class CreateCoordinations < ActiveRecord::Migration[5.0]
  def change
    create_table :coordinations do |t|
      t.string :season
      t.string :coordination
      t.timestamps
    end
  end
end

outerのmigrationファイル

class CreateOuters < ActiveRecord::Migration[5.0]
  def change
    create_table :outers do |t|
      t.string :outer
      t.string :image
      t.timestamps
    end
  end
end

後付けした外部キーたち

class CreateChageCoordinations < ActiveRecord::Migration[5.0]
  def change
    create_table :chage_coordinations do |t|
      add_reference :coordinations, :outer, foreign_key: true
      add_reference :coordinations, :inner, foreign_key: true
      add_reference :coordinations, :bottom, foreign_key: true
      add_reference :coordinations, :shoes, foreign_key: true
      add_reference :coordinations, :hat, foreign_key: true
      add_reference :coordinations, :accessory, foreign_key: true
      t.timestamps
      t.timestamps
    end
  end
end

coordinationのモデル

class Coordination < ApplicationRecord
  belongs_to :OuterId, optional: true
  belongs_to :inner, optional: true
  belongs_to :bottom, optional: true
  belongs_to :shoe, optional: true
  belongs_to :hat, optional: true
  belongs_to :accessory, optional: true
  belongs_to :user, optional: true
  has_many :accessory_coordinations
  mount_uploader :outer_id, ImageUploader
  validates :coordination, presence: true
end

outerのモデル

class Outer < ApplicationRecord
  belongs_to :user, optional: true
  has_many :coordinations
  mount_uploader :outer, ImageUploader
  accepts_nested_attributes_for :coordinations
end