Datasets for Statistical Analysis

Measurements from an electronic compass

Keywords:

compass, angle, direction

Categories:

regression;
science

Description:

The data are from tests on an electronic compass: the number of analog to digital counts of voltage output through a sensor. The device was rotated through 360 degrees in 10 degree increments. At each increment, the output from the device was recorded. The "perfect" output response is a sine wave. The experiment was conducted three times.

There are 108 observations on three variables.

Variables:

Angle	The angle at which the compass was held, in degrees.
Counts	The number of analog to digitial counts.
Test	Which test: 1, 2 or 3

Data Quality:

There are no missing values.

Source:

From Peter Deith's engineering project at the University of Southern Queensland, 2005.

Notes:

The compass orientation is arbitrary.

Ideally, the Counts should follow a sine curve. The task is to fit the appropriate sine curve. Since the orientation of the compass is arbitrary, the whole sine curve is unspecified; that is, we need to fit a model Counts = A sin( B + Angle ) + C, and estimate A, B and C.

References: