web route
=====================================================
    Route::post('myStudents/attendance', 'Admin\InstructorController@submitAttendance')->name('myStudents.attendance');


Admin.Instructor Controller
=====================================================

    public function submitAttendance(Request $request) {

        // Loop through all the students for the course.
        // Here I have just looped through all students in your db
        foreach (Student::all() as $student) {
            if ($request->get('report_'.$student->id)) {
                dump($student->id .' -> '.$request->get('report_'.$student->id));
            }
        }

    }

myStudent.blade.php
=====================================================
<form action="{{ route('admin.myStudents.attendance') }}" method="POST">
    {{ csrf_field() }}

    <div class="data-tables">
        <table id="dataTable" class="text-center">
            .......
            <tbody>

            @foreach ($students as $student )
                @if($student->student_status == null)
                    <tr>
                        .......

                        <td>
                            <input type="hidden" name="student_id" value="{{ $student->id }}">
                            <input type="hidden" name="course_id"
                                   value="{{ $student->courses->first()->id }}">
                            <input type="hidden" name="instructor_id" value="{{ $instructor->id }}">


                            <div class="form-check form-check-inline">
                                <input class="form-check-input"
                                       {{ old('report_'.$student->id) === 'present' ? 'checked' : ''}}
                                       type="radio" name="{{ 'report_'.$student->id }}"
                                       id="{{ 'present_'.$student->id }}" value="present">
                                <label class="form-check-label" for="{{ 'present_'.$student->id }}">Present</label>
                                <p id="demo"></p>
                            </div>
                            <div class="form-check form-check-inline">
                                <input class="form-check-input"
                                       {{ !old('report_'.$student->id) || old('report_'.$student->id) !== 'present' ? 'checked' : ''}}
                                       type="radio" name="{{ 'report_'.$student->id }}"
                                       id="{{ 'absent_'.$student->id }}" value="absent">
                                <label class="form-check-label" for="{{ 'absent_'.$student->id }}">Absent</label>
                            </div>
                        </td>

                    </tr>
                @endif
            @endforeach

            </tbody>
        </table>
    </div>

    <div class="text-right mt-3">
        <button type="submit" class="btn btn-block btn-primary">Submit Attendance</button>
    </div>
</form>