azuredeploy.json

{
    "$schema": "https://schema.management.azure.com/schemas/2015-01-01/deploymentTemplate.json#",
    "contentVersion": "1.0.0.0",
    "parameters": {
        "AppServicePlanName": {
           "type": "string",
           "metadata": {
                "description": "The name of your ASP."
            }
        },
         "WebSiteName": {
            "type": "string",
            "metadata": {
                 "description": "The WebSite Name Prefix"
             }
         }
    },
    "variables": {
        "WebSiteNameFull": "[concat(parameters('WebSiteName'), '-', uniqueString(resourceGroup().id))]",
        "AppInsightsNameFull": "[concat(parameters('WebSiteName'), 'AI-', uniqueString(resourceGroup().id))]"
    },
    "resources": [
        {
            "apiVersion": "2014-06-01",
            "name": "[parameters('AppServicePlanName')]",
            "type": "Microsoft.Web/serverfarms",
            "location": "[resourceGroup().location]",
            "sku": {
                "name": "F1",
                "tier": "Free",
                "size": "F1",
                "family": "F",
                "capacity": 0
            },
            "tags": {
                "displayName": "[parameters('AppServicePlanName')]"
            },
            "properties": {
                "name": "[parameters('AppServicePlanName')]"
            }
        },
        {
            "apiVersion": "2015-08-01",
            "name": "[variables('WebSiteNameFull')]",
            "type": "Microsoft.Web/sites",
            "location": "[resourceGroup().location]",
            "tags": {
                "[concat('hidden-related:', resourceGroup().id, '/providers/Microsoft.Web/serverfarms/', parameters('AppServicePlanName'))]": "Resource",
                "displayName": "[variables('WebSiteNameFull')]"
            },
            "dependsOn": [
                "[resourceId('Microsoft.Web/serverfarms/', parameters('AppServicePlanName'))]"
            ],
            "properties": {
                "name": "[variables('WebSiteNameFull')]",
                "serverFarmId": "[resourceId('Microsoft.Web/serverfarms/', parameters('AppServicePlanName'))]"
            },
            "resources": [
                {
                    "apiVersion": "2015-08-01",
                    "name": "Microsoft.ApplicationInsights.AzureWebSites",
                    "type": "siteextensions",
                    "properties": { },
                    "dependsOn": [
                      "[resourceId('Microsoft.Web/sites', variables('WebSiteNameFull'))]"
                    ]
                },
                {
                    "apiVersion": "2015-08-01",
                    "name": "appsettings",
                    "type": "config",
                    "dependsOn": [
                        "[resourceId('Microsoft.Web/sites', variables('WebSiteNameFull'))]",
                        "[resourceId('Microsoft.Insights/components', variables('AppInsightsNameFull'))]"
                    ],
                    "properties": {
                      "APPINSIGHTS_INSTRUMENTATIONKEY": "[reference(resourceId('Microsoft.Insights/components', variables('AppInsightsNameFull')), '2014-04-01').InstrumentationKey]"
                    }
                  }         
            ]
        },
        {
          "apiVersion": "2014-04-01",
          "name": "[variables('AppInsightsNameFull')]",
          "type": "Microsoft.Insights/components",
          "location": "[resourceGroup().location]",
          "dependsOn": [
            "[resourceId('Microsoft.Web/sites', variables('WebSiteNameFull'))]"
          ],
          "tags": {
            "[concat('hidden-link:', resourceId('Microsoft.Web/sites', variables('WebSiteNameFull')))]": "Resource",
            "displayName": "[variables('AppInsightsNameFull')]"
          },
          "properties": {
            "ApplicationId": "[variables('AppInsightsNameFull')]"
          }
        }
    ],
    "outputs": {}
}

azuredeploy.parameters.json

{
    "$schema":"http://schema.management.azure.com/schemas/2015-01-01/deploymentParameters.json#",
    "contentVersion":"1.0.0.0",
    "parameters":{
       "AppServicePlanName":{
          "value":"MovieDB-ASP"
       },
       "WebSiteName":{
          "value":"MovieDB"
       }
    }
 }