Texas Instruments TI-Nspire Reference Guide

54 TI-Nspire™ Reference Guide
LinRegtTest
Catalog
>
LinRegtTest X,Y[,Freq[,Hypoth]]
Computes a linear regression on the X and Y lists and a t test on the
value of slope b and the correlation coefficient r for the equation
y=a+bx. It tests the null hypothesis H
0
:b=0 (equivalently, r=0)
against one of three alternative hypotheses.
All the lists must have equal dimension.
X and Y are lists of independent and dependent variables.
Freq is an optional list of frequency values. Each element in Freq
specifies the frequency of occurrence for each corresponding X and Y
data point. The default value is 1. All elements must be integers | 0.
Hypoth is an optional value specifying one of three alternative
hypotheses against which the null hypothesis (H
0
:b=r=0) will be
tested.
For H
a
: bƒ0 and rƒ0 (default), set Hypoth=0
For H
a
: b<0 and r<0, set Hypoth<0
For H
a
: b>0 and r>0, set Hypoth>0
A summary of results is stored in the stat.results variable. (See page
97.)
For information on the effect of empty elements in a list, see “Empty
(void) elements” on page 131.
Output variable Description
stat.RegEqn Regression equation: a + b·x
stat.t t-Statistic for significance test
stat.PVal Smallest level of significance at which the null hypothesis can be rejected
stat.df Degrees of freedom
stat.a, stat.b Regression coefficients
stat.s Standard error about the line
stat.SESlope Standard error of slope
stat.r
2
Coefficient of determination
stat.r Correlation coefficient
stat.Resid Residuals from the regression

Texas Instruments TI-Nspire Specifications

General

Type	Display
Form factor	Pocket
Product color	Blue, White
Display resolution	320 x 240 pixels
Display size (HxV) (imperial)	0 \
Compatible operating systems	Windows Vista/XP Mac OS X 10.4/10.5
Battery type	AAA
Number of batteries supported	4

Weight and Dimensions

Dimensions (WxDxH)	100 x 198.3 x 28.7 mm