By using QGIS, is it possible to draw a regular grid over a surface formed by a set of points, by using an assigned grid dimension (expressed as fraction of degrees of latitude or longitude)?

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In QGIS 2.18:

Use Vector > Research Tools > Vector Grid.

You can select the layer extent manually, from the canvas, or by using the extent of the layer in question, which can be found in that layer's Metadata: Right click on layer in Table of Contents > Properties > Metadata > Properties > Extents

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