Receiving Helpdesk

what is a cumulative graph aba

by Alberta Skiles DDS Published 3 years ago Updated 2 years ago

A type of graph invented by Skinner that counts rates of behavior cumulatively over time. There is never a decrease in this type of graph. The steeper the slope in a cumulative record the high the rate of responding.

Full Answer

What is a cumulative record in ABA?

Cumulative Record. A type of graph on which the cumulative number of responses emitted is represented on the vertical axis; the steeper the slope of the data path, the greater the response rate. Click to see full answer. Also, what is a cumulative record ABA?

What is a cumulative a graph?

A type of graph invented by Skinner that counts rates of behavior cumulatively over time. There is never a decrease in this type of graph. The steeper the slope in a cumulative record the high the rate of responding.

What are graphs used for in ABA?

Most common graphs in ABA. Based on cartesian plane. Use when you want data to effectively communicate that the data can be scaled along some dimension such a time or order of responses in a sequence. 2 dimensional area formed by 2 perpendicular lines that interject.

Should we use cumulative graphs to interpret the rate of change?

Use cumulative graphs with caution. While the authors of these graphs may NOT intend readers to use cumulative graphs to interpret the rate of change, people will likely do this and will likely be incorrect in their interpretation if the rate of change is decreasing. Note that our sample was more highly educated than the general U. S. populace.

What is cumulative graph?

A cumulative frequency graph shows the total number of values that fall below the upper boundary of each variable. All this means is that it represents the running-total of frequencies.

How do you read a cumulative graph ABA?

The cumulative record provides a graphic representation of the subject's bar pressing behavior. The x-axis (0-50) is the number of minutes. The y-axis (0-100) is the number of responses made by the subject. A flat line indicates that the subject is not responding.

What does cumulative number of responses mean?

a cumulative record, in the form of a graph, of the responses in a conditioning experiment. Lack of response is indicated by a flat horizontal line, whereas faster responses are indicated by steeper slopes away from the horizontal. Also called cumulative response record.

When a cumulative record is used?

Basically a Cumulative Record Card is a document in which it is recorded cumulatively useful and reliable information about a particular pupil or student at one place. Hence presenting a complete and growing picture of the individual concerned for the purpose of helping him during his long stay at school.

How do you graph cumulative?

How to Make a Cumulative Chart in ExcelDouble-click the Excel file containing the data for which you want to create a cumulative chart.Click your mouse cursor on the uppermost cell in one of the columns, and then drag the mouse until all of the desired data in that column is selected.More items...

What does the slope of a cumulative record represent?

A cumulative record shows total (cumulative) responses since the start of the session. By looking at the slope of the line on a cumulative record, you can instantly estimate the rate of responding. The steeper the slope, the higher the rate of responding.

When would you use a bar graph in ABA?

The function of a bar graph in ABA is for displaying and comparing discrete sets of data that ARE NOT related by a common underlying dimension by which the horizontal axis can be scaled. (An example is the visual summary of a participant or group performance during different experimental conditions).

What are the lines in a graph called?

Constructing a Line Graph Line graphs consist of two axes: x-axis (horizontal) and y-axis (vertical). Each axis represents a different data type, and the points at which they intersect is (0,0). The x-axis is the independent axis because its values are not dependent on anything measured.

What are the contents of cumulative records?

Cumulative record is defined as “a permanent record of a student which is kept up-to-date by school, it is his educational history with information about his school achievement, attendance, health, test scores and similar pertinent data.”

What is cumulative report?

Cumulative reporting is a graphical representation of measuring the performance of your project over time. It can not only display plan versus actuals, but also planned values versus earned values as they accumulate.

Two Studies Comparing Daily vs. Cumulative Graphs Interpretation

To find out, we conducted two studies to compare the interpretation of daily bar graphs and cumulative bar graphs. In each study, we examined two variables, graph type (cumulative vs. daily styles) and data type (hospitalizations vs. product sales contexts).

Study 2: Replication with Wording Change

We were not expecting results this extreme, so we wondered whether the question phrasing might have confused participants. We replicated Study 1 using the same graphs but changed the question to be more explicit about basing interpretations of trends on the change in each day, focusing on the last week in the graph.

Study 2 Results

On April 13 we recruited another 51 U.S.-based online panel participants to take the study. It took a median time of three minutes to complete. The participants were a mix of gender (52% female); almost all (92%) were between 18–44 and many had a bachelor’s degree or higher (43%).

What is cumulative record?

In a cumulative record a recording pen moves along the abscissa with passage of time and along the ordinate each time a performance occurs. Thus the rate of the performance is demonstrated by the slope of the curve. The cumulative record is especially useful in experiments where it is important to emphasize the moment-to-moment changes in the frequency of the performance.

What is a graph of the running total of responses made?

A graph of the running total of responses made. New responses are added on to the old total so that, in a cumulative record, the data line can only go up. How fast it goes up depends on the rate of responding-the more rapid the responding, the steeper the climb. A horizontal line indicates no responding.

What is add subtract graph?

AKA Arithmetic Charts, Add-Subtract Charts. Graphs in which the distance between any 2 consecutive points on both the X-axis & Y-axis is always the same. All intervals are the same size. Line graphs, Bar Graphs, Cumulative Records, and Scatter Plots.

What is a celeration chart?

All behavior changes of equal proportion are shown by equal vertical distances on the vertical axis. Standard celeration chart. A type of semilogarithmic chart. Created by Ogden Lindsley.

Recording Data for Analysis

When running Applied Behaviour Analysis interventions, data is continuously collected on the targeted behaviours because it allows those running the programmes to identify whether interventions are working or not.

Variability

The variability of data relates to how different or “spread out” the scores are from each other. Take the two graphs below that show hypothetical data of the percentage of correct scores on a spelling test over 10 days for 2 children, Jane and Matt.

Level

The level of the data relates to the “position” of the data set taken from the Y-axis.

Trend

The trend in the data is the “direction” it is going. For example, in the graph below, the first data set shows an “increasing trend” as the data points are “going up”. The second data set show a “decreasing trend” as the data points are “going down”. Finally, the third data set shows a “zero trend” because the data are not going up or down.

Why Use Graphs?

Graphs make it much easier to interpret and understand the data because they present the information in a visual format. For example , what can you draw from these set of numbers that recorded the percentage of correct spellings by a student over 14 school days:

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9
8.3.21PHP Version3.97sRequest Duration2MBMemory UsageGET {post}Route
  • warninglog[08:40:34] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[08:40:34] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[08:40:34] LOG.warning: Callables of the form ["Swift_SmtpTransport", "Swift_Transport_EsmtpTranspor...
  • warninglog[08:40:34] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[08:40:34] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[08:40:34] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[08:40:34] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[08:40:34] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[08:40:34] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[08:40:34] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[08:40:34] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[08:40:34] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[08:40:34] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[08:40:34] LOG.warning: mt_rand(): Passing null to parameter #2 ($max) of type int is deprecated in ...
  • Booting (10.9ms)
  • Application (3.96s)
  • 1 x Application (99.72%)
    3.96s
    1 x Booting (0.27%)
    10.90ms
    7 templates were rendered
    • themes.DevBlog.content.post (resources/views/themes/DevBlog/content/post.blade.php)34blade
      Params
      0
      post
      1
      postContent
      2
      author
      3
      updated_at
      4
      bing_rich_snippet_text
      5
      bing_rich_snippet_link
      6
      bing_related_keywords
      7
      google_related_keywords
      8
      bing_news_title
      9
      bing_news_description
      10
      bing_videos
      11
      bing_images
      12
      bing_search_result_title
      13
      bing_search_result_description
      14
      bing_search_result_url
      15
      bing_paa_questions
      16
      bing_paa_answers
      17
      bing_slider_faq_questions
      18
      bing_slider_faq_answers
      19
      bing_pop_faq_questions
      20
      bing_pop_faq_answers
      21
      bing_tab_faq_questions
      22
      bing_tab_faq_answers
      23
      google_faq_questions
      24
      google_faq_answers
      25
      google_rich_snippet
      26
      google_search_result
      27
      indexedArray
      28
      total_images
      29
      total_videos
      30
      settings
      31
      url_current
      32
      menus
      33
      sidebar
    • themes.DevBlog.layouts.master (resources/views/themes/DevBlog/layouts/master.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.head (resources/views/themes/DevBlog/panels/head.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.header (resources/views/themes/DevBlog/panels/header.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.navbar (resources/views/themes/DevBlog/panels/navbar.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.footer (resources/views/themes/DevBlog/panels/footer.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.scripts (resources/views/themes/DevBlog/panels/scripts.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    uri
    GET {post}
    middleware
    web, checkdate
    as
    post.show
    controller
    App\Http\Controllers\Frontend\json_data\PostController@show
    namespace
    where
    file
    app/Http/Controllers/Frontend/json_data/PostController.php:18-166
    7 statements were executed3.94s
    • select * from `posts` where `published_at` <= '2025-06-22 08:40:34' and `slug` = 'what-is-a-cumulative-graph-aba' and `posts`.`deleted_at` is null limit 1
      1.99ms/app/Providers/RouteServiceProvider.php:54receivinghelpdeskask
      Metadata
      Bindings
      • 0. 2025-06-22 08:40:34
      • 1. what-is-a-cumulative-graph-aba
      Backtrace
      • 15. /app/Providers/RouteServiceProvider.php:54
      • 18. /vendor/laravel/framework/src/Illuminate/Routing/Router.php:842
      • 19. Route binding:39
      • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 21. /vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:78
    • select * from `json_post_contents` where `json_post_contents`.`post_id` = 171931 and `json_post_contents`.`post_id` is not null and `rewrite_id` = 0
      3.65msmiddleware::checkdate:30receivinghelpdeskask
      Metadata
      Bindings
      • 0. 171931
      • 1. 0
      Backtrace
      • 19. middleware::checkdate:30
      • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 21. /vendor/laravel/jetstream/src/Http/Middleware/ShareInertiaData.php:61
      • 22. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 23. /vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
    • select * from `nova_menu_menus` where `slug` = 'header' limit 1
      640μs/vendor/outl1ne/nova-menu-builder/src/helpers.php:32receivinghelpdeskask
      Metadata
      Bindings
      • 0. header
      Backtrace
      • 15. /vendor/outl1ne/nova-menu-builder/src/helpers.php:32
      • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`menu_id` = 1 and `nova_menu_menu_items`.`menu_id` is not null and `parent_id` is null order by `parent_id` asc, `order` asc, `name` asc
      840μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      Metadata
      Bindings
      • 0. 1
      Backtrace
      • 19. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
      • 20. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
      • 22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`parent_id` in (1) order by `order` asc
      670μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      Metadata
      Backtrace
      • 24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
      • 25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
      • 27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
    • select `id`, `post_title`, `slug` from `posts` where `status` = 'publish' and `posts`.`deleted_at` is null order by RAND() limit 10
      3.93s/app/View/Composers/SidebarView.php:22receivinghelpdeskask
      Metadata
      Bindings
      • 0. publish
      Backtrace
      • 14. /app/View/Composers/SidebarView.php:22
      • 15. /app/View/Composers/SidebarView.php:12
      • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
      • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
      • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
    • select * from `fake_users` where `fake_users`.`id` = 34481 limit 1
      770μsview::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15receivinghelpdeskask
      Metadata
      Bindings
      • 0. 34481
      Backtrace
      • 21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
      • 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    App\Models\FakeUser
    1
    Outl1ne\MenuBuilder\Models\MenuItem
    1
    Outl1ne\MenuBuilder\Models\Menu
    1
    App\Models\JsonPostContent
    1
    App\Models\Post
    11
        _token
        nEOvwJ7PLz7SrtWcKIUwsHfOdvHjn5sXs9APJV1D
        _previous
        array:1 [ "url" => "https://receivinghelpdesk.com/ask/what-is-a-cumulative-graph-aba" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /what-is-a-cumulative-graph-aba
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:25 [ "cookie" => array:1 [ 0 => "XSRF-TOKEN=eyJpdiI6InpYUTFMYTVxQ1BtU1JmRE4yS0t3bVE9PSIsInZhbHVlIjoiby8rWlB6WTc5Z1AwQ1YwRFdGaGtxU2h6Y210WktBU3ZzMHhzZlMzcWFEUUc3elJJOTlSSVlXUitJWW5tVEExTEdKWk1KNVlzMkFZdVg1M0hwTGJNQitJSXZvS2Z4VXFUNGY5c2tlRkhXTlJYa0svQ3RFYjBKckRVcnJGang4RnAiLCJtYWMiOiJkNGYzM2EzNDQ0ZjAzNDJkM2RiZTlmNWMzYjA5ZjgxMjRkZTc2MzFlNzgxMmZkYzExZGQ1ZDJkNDI4MDcxNzZmIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6Im9oNkRqRElVL1VUdVFHclF0ZkNuREE9PSIsInZhbHVlIjoiS1FxZFBobCt5Yzl3RG1YRVdJZnU2MjBqOEQvcnZpWkRzeW9XNVp4SDJRUmRSZkhUWkZpd3d3TzVNcVcrdjFkbEd0QVRpVjRMMytqeHJEdnRNcnlQbFRSbjJYOWRLYnIwd3czcjZrdmtKUGo3UzkzMnFSa0tvdHgvZUhjRzkvUDAiLCJtYWMiOiJmMDYwMzExNjQxZmNiNGUwMjI5ODU0MjU3MTgwNjMyMGExNWE0Mjc5MjM0ZDdkYWJmMjMxNjk0MGM2OWYwNjVhIiwidGFnIjoiIn0%3D; _pk_id.64.7c30=a7d2e5a252c59d37.1750561831.; _pk_ses.64.7c30=1XSRF-TOKEN=eyJpdiI6InpYUTFMYTVxQ1BtU1JmRE4yS0t3bVE9PSIsInZhbHVlIjoiby8rWlB6WTc5Z1AwQ1YwRFdGaGtxU2h6Y210WktBU3ZzMHhzZlMzcWFEUUc3elJJOTlSSVlXUitJWW5tVEExTEdKWk1KN" ] "cf-ipcountry" => array:1 [ 0 => "US" ] "cf-connecting-ip" => array:1 [ 0 => "216.73.216.214" ] "cdn-loop" => array:1 [ 0 => "cloudflare; loops=1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "accept-encoding" => array:1 [ 0 => "gzip, br" ] "cf-ray" => array:1 [ 0 => "95388da6be0b61a0-ORD" ] "priority" => array:1 [ 0 => "u=0, i" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "cf-visitor" => array:1 [ 0 => "{"scheme":"https"}" ] "connection" => array:1 [ 0 => "close" ] "x-forwarded-proto" => array:1 [ 0 => "https" ] "x-forwarded-for" => array:1 [ 0 => "216.73.216.214, 172.69.6.107" ] "x-server-addr" => array:1 [ 0 => "154.12.239.204" ] "host" => array:1 [ 0 => "receivinghelpdesk.com" ] ]
        request_server
        0 of 0
        array:56 [ "USER" => "runcloud" "HOME" => "/home/runcloud" "SCRIPT_NAME" => "/ask/index.php" "REQUEST_URI" => "/ask/what-is-a-cumulative-graph-aba" "QUERY_STRING" => "" "REQUEST_METHOD" => "GET" "SERVER_PROTOCOL" => "HTTP/1.0" "GATEWAY_INTERFACE" => "CGI/1.1" "REDIRECT_URL" => "/ask/what-is-a-cumulative-graph-aba" "REMOTE_PORT" => "54540" "SCRIPT_FILENAME" => "/home/runcloud/webapps/ReceivingHelpDesk/ask/index.php" "SERVER_ADMIN" => "you@example.com" "CONTEXT_DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "CONTEXT_PREFIX" => "" "REQUEST_SCHEME" => "http" "DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "REMOTE_ADDR" => "172.69.6.107" "SERVER_PORT" => "80" "SERVER_ADDR" => "127.0.0.1" "SERVER_NAME" => "receivinghelpdesk.com" "SERVER_SOFTWARE" => "Apache/2.4.63 (Unix) OpenSSL/1.1.1f" "SERVER_SIGNATURE" => "" "LD_LIBRARY_PATH" => "/RunCloud/Packages/apache2-rc/lib" "PATH" => "/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin" "HTTP_COOKIE" => "XSRF-TOKEN=eyJpdiI6InpYUTFMYTVxQ1BtU1JmRE4yS0t3bVE9PSIsInZhbHVlIjoiby8rWlB6WTc5Z1AwQ1YwRFdGaGtxU2h6Y210WktBU3ZzMHhzZlMzcWFEUUc3elJJOTlSSVlXUitJWW5tVEExTEdKWk1KNVlzMkFZdVg1M0hwTGJNQitJSXZvS2Z4VXFUNGY5c2tlRkhXTlJYa0svQ3RFYjBKckRVcnJGang4RnAiLCJtYWMiOiJkNGYzM2EzNDQ0ZjAzNDJkM2RiZTlmNWMzYjA5ZjgxMjRkZTc2MzFlNzgxMmZkYzExZGQ1ZDJkNDI4MDcxNzZmIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6Im9oNkRqRElVL1VUdVFHclF0ZkNuREE9PSIsInZhbHVlIjoiS1FxZFBobCt5Yzl3RG1YRVdJZnU2MjBqOEQvcnZpWkRzeW9XNVp4SDJRUmRSZkhUWkZpd3d3TzVNcVcrdjFkbEd0QVRpVjRMMytqeHJEdnRNcnlQbFRSbjJYOWRLYnIwd3czcjZrdmtKUGo3UzkzMnFSa0tvdHgvZUhjRzkvUDAiLCJtYWMiOiJmMDYwMzExNjQxZmNiNGUwMjI5ODU0MjU3MTgwNjMyMGExNWE0Mjc5MjM0ZDdkYWJmMjMxNjk0MGM2OWYwNjVhIiwidGFnIjoiIn0%3D; _pk_id.64.7c30=a7d2e5a252c59d37.1750561831.; _pk_ses.64.7c30=1XSRF-TOKEN=eyJpdiI6InpYUTFMYTVxQ1BtU1JmRE4yS0t3bVE9PSIsInZhbHVlIjoiby8rWlB6WTc5Z1AwQ1YwRFdGaGtxU2h6Y210WktBU3ZzMHhzZlMzcWFEUUc3elJJOTlSSVlXUitJWW5tVEExTEdKWk1KN" "HTTP_CF_IPCOUNTRY" => "US" "HTTP_CF_CONNECTING_IP" => "216.73.216.214" "HTTP_CDN_LOOP" => "cloudflare; loops=1" "HTTP_SEC_FETCH_MODE" => "navigate" "HTTP_SEC_FETCH_SITE" => "none" "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" "HTTP_UPGRADE_INSECURE_REQUESTS" => "1" "HTTP_SEC_CH_UA_PLATFORM" => ""Windows"" "HTTP_SEC_CH_UA_MOBILE" => "?0" "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" "HTTP_CACHE_CONTROL" => "no-cache" "HTTP_PRAGMA" => "no-cache" "HTTP_ACCEPT_ENCODING" => "gzip, br" "HTTP_CF_RAY" => "95388da6be0b61a0-ORD" "HTTP_PRIORITY" => "u=0, i" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_CF_VISITOR" => "{"scheme":"https"}" "HTTP_CONNECTION" => "close" "HTTP_X_FORWARDED_PROTO" => "https" "HTTP_X_FORWARDED_FOR" => "216.73.216.214, 172.69.6.107" "HTTP_X_SERVER_ADDR" => "154.12.239.204" "HTTP_HOST" => "receivinghelpdesk.com" "HTTPS" => "on" "REDIRECT_STATUS" => "200" "REDIRECT_HTTPS" => "on" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/ask/index.php" "REQUEST_TIME_FLOAT" => 1750561834.0566 "REQUEST_TIME" => 1750561834 ]
        request_cookies
        0 of 0
        array:4 [ "XSRF-TOKEN" => "nEOvwJ7PLz7SrtWcKIUwsHfOdvHjn5sXs9APJV1D" "askhelpdesk_session" => "MV6gn2UjJvp8uKpevBvIfkqAJULIHhHBHFxUEigJ" "_pk_id_64_7c30" => null "_pk_ses_64_7c30" => null ]
        response_headers
        0 of 0
        array:7 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "private, must-revalidate" ] "date" => array:1 [ 0 => "Sun, 22 Jun 2025 03:10:34 GMT" ] "pragma" => array:1 [ 0 => "no-cache" ] "expires" => array:1 [ 0 => -1 ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IjVNOGRtd2h1M2FPcWsrU3hweWRUVWc9PSIsInZhbHVlIjoiVEYwRjE0YmI1QU8ydGpHZEpGRmk5ZWc1Mi92OHh0dzN6bFN0eHhEa0tOT1RUaDZXbWtZRC9FVzhJeUJzZFJLNXlJbG9wUzNQN1U0RGZWUmZ0RndnSHorZU9KVUtNUEZqVmcvemhUbGVwS04zem04bW43T3ZHbXdhbER4cFVHVmkiLCJtYWMiOiI3MDFiZjEwNzZkZTJlNzlmODQ2ZDg2MjE5ODZmMDMyZTUxYzE4YTZjN2VmMTc3YWQwYTNjNzI5NDEyMWExZWI4IiwidGFnIjoiIn0%3D; expires=Sun, 22-Jun-2025 05:10:38 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6IjVNOGRtd2h1M2FPcWsrU3hweWRUVWc9PSIsInZhbHVlIjoiVEYwRjE0YmI1QU8ydGpHZEpGRmk5ZWc1Mi92OHh0dzN6bFN0eHhEa0tOT1RUaDZXbWtZRC9FVzhJeUJzZFJLNXlJbG9wU" 1 => "askhelpdesk_session=eyJpdiI6IlFSV2dkNG9DQmtFWnNpdkl1RmtWZFE9PSIsInZhbHVlIjoiU3JIc000YXdwbEhYV0lxSldtd2ZTc25oU2llM2ZUV2xQOHlBUmgwVnlrMDNTTHlPQjArQ1A2dk9seUVTZm1ialA4NDNpRTlTdzVaeGNQQlBSOU9ZcitzZFdoV3F1WW11c0VrK0hYb0IzcGxnUjdGY1ltVC9FaEhNMzhtdkJ2NjEiLCJtYWMiOiJhNjJiZDdmYjZmNmYzZTY4MjM0YzM5MmRmYjI5MmRjMDllNjFiM2Y5MGJkMDc1ZWRkM2ZjMTZmYWU1OTViOWQ4IiwidGFnIjoiIn0%3D; expires=Sun, 22-Jun-2025 05:10:38 GMT; Max-Age=7200; path=/; httponly; samesite=laxaskhelpdesk_session=eyJpdiI6IlFSV2dkNG9DQmtFWnNpdkl1RmtWZFE9PSIsInZhbHVlIjoiU3JIc000YXdwbEhYV0lxSldtd2ZTc25oU2llM2ZUV2xQOHlBUmgwVnlrMDNTTHlPQjArQ1A2dk9seUVTZm1i" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IjVNOGRtd2h1M2FPcWsrU3hweWRUVWc9PSIsInZhbHVlIjoiVEYwRjE0YmI1QU8ydGpHZEpGRmk5ZWc1Mi92OHh0dzN6bFN0eHhEa0tOT1RUaDZXbWtZRC9FVzhJeUJzZFJLNXlJbG9wUzNQN1U0RGZWUmZ0RndnSHorZU9KVUtNUEZqVmcvemhUbGVwS04zem04bW43T3ZHbXdhbER4cFVHVmkiLCJtYWMiOiI3MDFiZjEwNzZkZTJlNzlmODQ2ZDg2MjE5ODZmMDMyZTUxYzE4YTZjN2VmMTc3YWQwYTNjNzI5NDEyMWExZWI4IiwidGFnIjoiIn0%3D; expires=Sun, 22-Jun-2025 05:10:38 GMT; path=/XSRF-TOKEN=eyJpdiI6IjVNOGRtd2h1M2FPcWsrU3hweWRUVWc9PSIsInZhbHVlIjoiVEYwRjE0YmI1QU8ydGpHZEpGRmk5ZWc1Mi92OHh0dzN6bFN0eHhEa0tOT1RUaDZXbWtZRC9FVzhJeUJzZFJLNXlJbG9wU" 1 => "askhelpdesk_session=eyJpdiI6IlFSV2dkNG9DQmtFWnNpdkl1RmtWZFE9PSIsInZhbHVlIjoiU3JIc000YXdwbEhYV0lxSldtd2ZTc25oU2llM2ZUV2xQOHlBUmgwVnlrMDNTTHlPQjArQ1A2dk9seUVTZm1ialA4NDNpRTlTdzVaeGNQQlBSOU9ZcitzZFdoV3F1WW11c0VrK0hYb0IzcGxnUjdGY1ltVC9FaEhNMzhtdkJ2NjEiLCJtYWMiOiJhNjJiZDdmYjZmNmYzZTY4MjM0YzM5MmRmYjI5MmRjMDllNjFiM2Y5MGJkMDc1ZWRkM2ZjMTZmYWU1OTViOWQ4IiwidGFnIjoiIn0%3D; expires=Sun, 22-Jun-2025 05:10:38 GMT; path=/; httponlyaskhelpdesk_session=eyJpdiI6IlFSV2dkNG9DQmtFWnNpdkl1RmtWZFE9PSIsInZhbHVlIjoiU3JIc000YXdwbEhYV0lxSldtd2ZTc25oU2llM2ZUV2xQOHlBUmgwVnlrMDNTTHlPQjArQ1A2dk9seUVTZm1i" ] ]
        session_attributes
        0 of 0
        array:4 [ "_token" => "nEOvwJ7PLz7SrtWcKIUwsHfOdvHjn5sXs9APJV1D" "_previous" => array:1 [ "url" => "https://receivinghelpdesk.com/ask/what-is-a-cumulative-graph-aba" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]