Linear regression is one of the most prevalent techniques in machine learning; however, it is also common to use linear regression for its explanatory capabilities rather than label prediction. Ordinary Least Squares (OLS) is often used in statistics to establish a correlation between an attribute (e.g. gender) and a label (e.g. income) in the presence of other (potentially correlated) features...

We introduce a generalization of symmetric (v, k, λ) block designs, and show how these could potentially be used to construct projective planes of non-prime-power order. If q is a prime power and n2+n+1 = N(q2+q+1), then conceivably we could construct a projective plane of order n by gluing together N planes of order q. For example, 182+18+1 = 343 = 49 ·7. Can we make a projective plane of orde...

The solution of differential equations is an important problem that arises in a host of areas. Many differential equations are too difficult to solve in closed form. Instead, it becomes necessary to employ numerical techniques. Differential equations have a major application in understanding physical systems that involve aerodynamics, fluid dynamics, thermodynamics, heat diffusion, mechanical o...

Let P be a set of n points in the plane. A connecting line of P is a line that passes through at least two of its points. A connecting line is called ordinary if it is incident on exactly two points of P. If the points of P are not collinear then such a line exists. In fact, there are Ω(n) such lines [8]. In this note, we present a very simple algorithm for finding an ordinary line, assuming th...

Despite various parallels between quantum states and ordinary information, quantum no-go-theorems have convinced many that there is no realistic framework that might underly quantum theory, no reality that quantum states can represent knowledge about. This paper develops the case that there is a plausible underlying reality: one actual spacetime-based history, although with behavior that appear...

(Tavistock Publications, 32s. 6d) The family doctor, sitting at the centre of his observed world over years, has unique facilities for observation and record. All general practitioners in the National Health Service have two other advantages: that patients cared for on the 'list' comprise a practice population nearly representative of the community at large and that the doctor seems to be the b...

This paper estimates hedonic price models for a sample of 610 vacation rental houses located in the vicinity of a lake and four-season ski-golf resort. Hedonic semi-logarithmic regression models are estimated for peak summer and peak winter rentals for 2008. The regression estimates for weekly rental prices are conditioned on explanatory variables for house size, house quality, and recreation f...

In order to clarify the impact of Shinkansen network extension on tourism development in Japan, this study investigates the change of tourism demand and tourist behavior in Tohoku and Kyushu Region by using statistical data collected by MLIT and JTA. The results suggest that tourism arrivals increased significantly in cities that were connected by the extended Shinkansen network. In addition, m...