 Linear Regression program for P-Var (with or without the constant) of dimension N (if P = then it returns the exact solution) with clear results and indication from which directory-path the variables came from and how each intermediate result and each variable were obtained, t, s, prob-values, beta lower and upper limits, R2 and R2adj, R2mod and R2modAdj when no constant, variation coefficient, full detailed anova with or without constant, correlation matrix and min-max-interval, 1st order partial correlation, half partial, multi-order correlation with Z1... Zk control variables, restriction model test for k independent variables Xi with k < p, including here also t, s, prob-values, variation coefficient, R2... and anova as for full, non-restricted model model, Spearman's rank rho (with or without ties) + rho crit and prob, including rho lower/upper limits. All stats calculated for any chosen value of alpha (set to 5% by default or if you incidentally erase it), even for Spearman's rho H0-prob and rho crit when N < 11. Also includes Anova 1-way. |
Assigns three fraction-related commands to the division key, allowing you to easily display an entered decimal number as the decimal, improper fraction, and mixed number by pressing [Divide], display an entered decimal number as the decimal and the simplest symbolic representation by pressing [Left Shift][Divide], and display an entered fractional number as the fraction, decimal, and extended precision decimal places by pressing [Right Shift][Divide].
Nine main astronomical programs included in a directory to calculate SEASON begin (exact or fast), deltaT (TT-UT), —>WK.D (week day), JD—> (date to Julian Day), JD—> (reverse), —>epsilon (Earth axial tilt), —>TROPIC.YR —>SID(Sidereal Time), with great precision according to Astronomical Algorithms, 2nd edition, by Jean Meeus. The program calculates automatically also: M (µ Anomaly of the Sun), M´ (µ Anomaly of the Moo), F (µArg LatMoon), D (µElong Moon from Sun), deta¥ (Nutation in longit longitude), deltaEpsilon (Nutation in obliquity), Oméga (µLongAscendNode Moon). It also includes the equation of time according to abridged version VSOP1987, together with alpha Sun's Ascension and delta Sun's Declination, both with errors less than a fraction of a second. It calculates also: L0 (Sun geometric mean longitude), C (Sun equation Centre), O/ß (Sun true geocentric longitude/latitude), Lamda (Sun apparent Longitude), nu (Sun true anomaly) and R (distance Sun centre to Earth centre). There are also two small conversion programs to calculate T->Date (T in hundred of centuries after 2000 back to the original date and hour) and —>Teph (Terrestrial time to Ephemerid time). 
Small interpolation program.
Finds the next number #n+1 of any given sequence of n numbers entered as a list {#1 #2... #n}.
It returns also the lowest polynomial going though the n given numbers, supposing that #1=f(0), #2=f(1)... #n=f(n-1).
Obtains the real coefficients from a polynomial with real coefficients: f(an × x^n +...+a0) —> [an... a0], an... a0 real. The variable of the polynomial may be defined in the current directory, or not. The program will also detect incorrect similar variable names and give a corresponding message warning (as only 1 variable is allowed).
Theoretical Normal Earth Gravity calculation according to Heiskanen and Moritz, 1967, for GRS67, GRS80, WGS84 and free ellipsoid, with the g.u and g.beta components, g at Pole and Equator, GMEAN, etc., above or not the ellipsoid surface. Equally one-step copy (bunch of instructions) on the calculator to check the full digits on Maxima free software.
Calculates the density of water, given the temperature in Celsius, pressure in Pascals, and whether the water is pure or from the tap. Based on Tanaka's work. As a function of pressure (or altitude and local temperature), it is also possible to get the local boiling temperature of water according to equations of Goff-Gratch (1984) and Arden Buck (1996).