diff --git a/.gitignore b/.gitignore
index 87abe967b7..7461b83f53 100644
--- a/.gitignore
+++ b/.gitignore
@@ -26,6 +26,8 @@ peacock_run_exe_tmp.i
 *.py
 *.pyc
 !python/**/*.py
+!doc/**/*.py
+!test/**/*.py
 **/.ipynb_checkpoints
 
 # Allow certain files in gold directories
@@ -53,4 +55,4 @@ doc/doxygen/html
 !doc/content/media/**/*.png
 
 # Allow CSV in data directory
-!tests/data/**/*.csv
+!test/tests/data/**/*.csv
diff --git a/test/tests/functions/baseline_correction/errors.i b/test/tests/functions/baseline_correction/errors.i
new file mode 100644
index 0000000000..95a998cf9d
--- /dev/null
+++ b/test/tests/functions/baseline_correction/errors.i
@@ -0,0 +1,28 @@
+[Mesh]
+  type = GeneratedMesh
+  dim = 1
+[]
+
+[Problem]
+  solve = false
+[]
+
+[Functions]
+  [function]
+    type = PiecewiseLinear
+    x = '0 1'
+    y = '0 1'
+  []
+  [bad_function]
+    type = ConstantFunction
+  []
+  [error_test]
+    type = BaselineCorrection
+    function = function
+    disp_fit_order = 10
+  []
+[]
+
+[Executioner]
+  type = Steady
+[]
diff --git a/test/tests/functions/baseline_correction/gold/corrected_accel.csv b/test/tests/functions/baseline_correction/gold/corrected_accel.csv
new file mode 100644
index 0000000000..a30427e6d8
--- /dev/null
+++ b/test/tests/functions/baseline_correction/gold/corrected_accel.csv
@@ -0,0 +1,1002 @@
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diff --git a/test/tests/functions/baseline_correction/gold/corrected_disp.csv b/test/tests/functions/baseline_correction/gold/corrected_disp.csv
new file mode 100644
index 0000000000..10dee50bfe
--- /dev/null
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diff --git a/test/tests/functions/baseline_correction/gold/corrected_vel.csv b/test/tests/functions/baseline_correction/gold/corrected_vel.csv
new file mode 100644
index 0000000000..e47839c9a0
--- /dev/null
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diff --git a/test/tests/functions/baseline_correction/sine_wave.py b/test/tests/functions/baseline_correction/sine_wave.py
new file mode 100755
index 0000000000..e7e64a7dfa
--- /dev/null
+++ b/test/tests/functions/baseline_correction/sine_wave.py
@@ -0,0 +1,11 @@
+#!/usr/bin/env python3
+import numpy as np
+
+dt = 0.01
+time = np.arange(-5.0, 5.0 + dt, dt)
+accel = 80 * np.square(np.pi) * np.sin(4.0 * np.pi * time)
+
+np.savetxt("sine_wave.csv", time, fmt="%0.2f", delimiter=",", newline=", ")
+with open("sine_wave.csv", "a") as file:
+    file.write("\n")
+    np.savetxt(file, accel, fmt='%0.18e', delimiter=",", newline=", ")
diff --git a/test/tests/functions/baseline_correction/test.i b/test/tests/functions/baseline_correction/test.i
new file mode 100644
index 0000000000..4559d863e9
--- /dev/null
+++ b/test/tests/functions/baseline_correction/test.i
@@ -0,0 +1,64 @@
+[GlobalParams]
+  execute_on = INITIAL
+[]
+
+[Mesh]
+  type = GeneratedMesh
+  dim = 1
+[]
+
+[Problem]
+  solve = false
+[]
+
+[Functions]
+  [nominal_accel]
+    type = PiecewiseLinear
+    data_file = sine_wave.csv
+  []
+  [type_A3]
+    type = BaselineCorrection
+    function = nominal_accel
+  []
+  [type_V3]
+    type = BaselineCorrection
+    function = nominal_accel
+    vel_fit_order = 3
+    series_output = velocity
+  []
+  [type_A13V13D11]
+    type = BaselineCorrection
+    function = nominal_accel
+    accel_fit_order = 13
+    vel_fit_order = 13
+    disp_fit_order = 11
+    series_output = displacement
+  []
+[]
+
+[Executioner]
+  type = Steady
+[]
+
+[VectorPostprocessors]
+  [accel]
+    type = PiecewiseFunctionTabulate
+    function = type_A3
+    contains_complete_history = true
+  []
+  [vel]
+    type = PiecewiseFunctionTabulate
+    function = type_V3
+    contains_complete_history = true
+  []
+  [disp]
+    type = PiecewiseFunctionTabulate
+    function = type_A13V13D11
+    contains_complete_history = true
+  []
+[]
+
+[Outputs]
+  csv = true
+  file_base = corrected
+[]
diff --git a/test/tests/functions/baseline_correction/tests b/test/tests/functions/baseline_correction/tests
new file mode 100644
index 0000000000..a98dfa2391
--- /dev/null
+++ b/test/tests/functions/baseline_correction/tests
@@ -0,0 +1,45 @@
+[Tests]
+  design = functions/BaselineCorrection.md
+  issues = '#296'
+
+  [prepare_data]
+    type = RunCommand
+    command = ./sine_wave.py
+    required_python_packages = numpy
+
+    requirement = "Generate a file containing the time series data for the correction_types test."
+  []
+
+  [correction_types]
+    type = CSVDiff
+    input = test.i
+    csvdiff = 'corrected_accel.csv corrected_vel.csv corrected_disp.csv'
+    prereq = prepare_data
+
+    requirement = "The system shall support applying various types of baseline corrections to "
+                  "discrete-time accelerations and evaluating the corrected acceleration, "
+                  "velocity, and displacement time histories."
+  []
+
+  [errors]
+    requirement = "The system shall report a reasonable error message when"
+
+    [bad_function_type]
+      type = RunException
+      input = errors.i
+      cli_args = Functions/error_test/function=bad_function
+      expect_err = "This must be the name of a PiecewiseLinear object"
+
+      detail = "the provided function is not an instance of PiecewiseLinear; and"
+    []
+    [tight_error_on_residual]
+      type = RunException
+      input = errors.i
+      cli_args = Functions/error_test/error_on_residual=1e-16
+      expect_err = "Failed to compute a least squares polynomial of degree \(10\) within the "
+                   "specified tolerance \(1e-16 <"
+
+      detail = "the relative residual error tolerance is smaller than what the solver achieved."
+    []
+  []
+[]