Quiz interpolation (#32)

* quiz on l5

* quiz interpolation

* Update interpolation/quiz.qmd

Co-authored-by: Martin Fleischmann <martin@martinfleischmann.net>

* Update interpolation/quiz.qmd

Co-authored-by: Martin Fleischmann <martin@martinfleischmann.net>

* Update interpolation/quiz.qmd

Co-authored-by: Martin Fleischmann <martin@martinfleischmann.net>

* update

* remove wrong question

---------

Co-authored-by: Anna Brázdová <annabrazdova@Anna--MacBook-Air-2.local>
Co-authored-by: Martin Fleischmann <martin@martinfleischmann.net>

_quarto-sds4sg.yml

@@ -71,6 +71,7 @@ website:
           - interpolation/concepts.qmd
           - interpolation/hands_on.qmd
           - interpolation/exercise.qmd
+          - interpolation/quiz.qmd
       - section: "Linear regression"
         contents:
           - regression/concepts.qmd

interpolation/quiz.qmd

@@ -0,0 +1,227 @@
+---
+title: "Quiz on interpolation"
+filters:
+  - naquiz
+---
+
+Check how much you remember from previous sections by answering the questions below.
+
+:::::{.question}
+**What is the H3 grid?**
+
+::::{.choices}
+
+:::{.choice}
+A type of mapping that uses rectangles for spatial operations.
+:::
+
+:::{.choice .correct-choice}
+A hexagonal hierarchical grid that enables efficient spatial operations.
+:::
+
+:::{.choice}
+A linear interpolation method based on grid coordinates.
+:::
+
+:::{.choice}
+A spherical coordinate system used for geospatial data.
+:::
+
+::::
+:::::
+
+
+:::::{.question}
+**What is the primary purpose of the `tobler` package in PySAL?**
+
+::::{.choices}
+
+:::{.choice}
+Creating experimental variograms.
+:::
+
+:::{.choice .correct-choice}
+Performing areal interpolation.
+:::
+
+:::{.choice}
+Clustering algorithm.
+:::
+
+:::{.choice}
+Implementing Voronoi tessellation.
+:::
+
+::::
+:::::
+
+:::::{.question}
+**How does simple areal interpolation redistribute values?**
+
+::::{.choices}
+
+:::{.choice}
+Based on the population density of the source geometries.
+:::
+
+:::{.choice .correct-choice}
+Based on the proportion of area shared between source and target polygons.
+:::
+
+:::{.choice}
+Using nearest neighbor values for interpolation.
+:::
+
+:::{.choice}
+By creating a linear function between the source and target geometries.
+:::
+
+::::
+:::::
+
+:::::{.question}
+**What does Pycnophylactic interpolation aim to achieve?**
+
+::::{.choices}
+
+:::{.choice .correct-choice}
+Preserve the original data's volume while smoothing sharp boundaries.
+:::
+
+:::{.choice}
+Use spatial lag for better autocorrelation analysis.
+:::
+
+:::{.choice}
+Handle missing values using distance-weighted regression.
+:::
+
+:::{.choice}
+Allocate values proportionally to distances.
+:::
+
+::::
+:::::
+
+:::::{.question}
+**What is the result of nearest interpolation?**
+
+::::{.choices}
+
+:::{.choice}
+A weighted average of neighboring values.
+:::
+
+:::{.choice}
+A continuous surface based on autocorrelation.
+:::
+
+:::{.choice}
+A spherical interpolation of point distances.
+:::
+
+:::{.choice .correct-choice}
+A Voronoi tessellation representing nearest point values.
+:::
+
+::::
+:::::
+
+
+
+:::::{.question}
+**What distinguishes KNN interpolation from distance-weighted KNN?**
+
+::::{.choices}
+
+:::{.choice}
+KNN only uses spatial autocorrelation, while distance-weighted KNN considers lag.
+:::
+
+:::{.choice}
+KNN is based on variograms, while distance-weighted KNN uses kriging.
+:::
+
+:::{.choice .correct-choice}
+Distance-weighted KNN assigns weights inversely proportional to the distance.
+:::
+
+:::{.choice}
+Distance-weighted KNN uses only the closest neighbor.
+:::
+
+::::
+:::::
+
+:::::{.question}
+**What is distance-based regression?**
+
+::::{.choices}
+
+:::{.choice}
+A method that uses only the nearest point for predictions.
+:::
+
+:::{.choice .correct-choice}
+A regression method based on points within a specified distance radius.
+:::
+
+:::{.choice}
+An interpolation technique based on spatial autocorrelation models.
+:::
+
+:::{.choice}
+A combination of areal and point interpolation methods.
+:::
+
+::::
+:::::
+
+:::::{.question}
+**What is ordinary kriging known for?**
+
+::::{.choices}
+
+:::{.choice}
+Using simple averages for point interpolation.
+:::
+
+:::{.choice}
+Assigning weights inversely proportional to distances only.
+:::
+
+:::{.choice .correct-choice}
+Combining geographical proximity with spatial autocorrelation patterns.
+:::
+
+:::{.choice}
+Implementing hierarchical grids for efficient analysis.
+:::
+
+::::
+:::::
+
+
+:::::{.question}
+**What does an experimental semivariogram represent in spatial statistics?**
+
+::::{.choices}
+
+:::{.choice}
+A theoretical model or a mathematical function of spatial dependence.
+:::
+
+:::{.choice}
+A measure of spatial density of sample points across a study area.
+:::
+
+:::{.choice}
+Best-fit model for predicting values in unsampled areas.
+:::
+
+:::{.choice .correct-choice}
+A plot of the semivariance between pairs of sample points as a function of distance, showing the degree of spatial relationship.
+:::
+
+::::
+:::::