13–24 Inferential Statistics and Distributions
8250FC~1.DOC TI-83 international English Bob Fedorisko Revised: 10/26/05 1:39 PM Printed: 10/27/05 2:57
PM Page 24 of 36
LinRegTTest (linear regression t test; item E) computes a linear
regression on the given data 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 the alternatives below.
• H
a
: bÆ’0 and rÆ’0 (b & r:Æ’0)
• H
a
: b<0 and r<0 (b & r:<0)
• H
a
: b>0 and r>0 (b & r:>0)
The regression equation is automatically stored to RegEQ
(VARS Statistics EQ secondary menu). If you enter a Y= variable
name at the
RegEQ: prompt, the calculated regression equation
is automatically stored to the specified
Y= equation. In the
example below, the regression equation is stored to
Y1, which is
then selected (turned on).
In the example:
L3={38 56 59 64 74}
L
4={41 63 70 72 84}
Input:
,
Calculated results:
When LinRegTTest is executed, the list of residuals is created
and stored to the list name
RESID automatically. RESID is
placed on the
LIST NAMES menu.
Note: For the regression equation, you can use the fix-decimal mode
setting to control the number of digits stored after the decimal point
(Chapter 1). However, limiting the number of digits to a small number
could affect the accuracy of the fit.
STAT TESTS Menu (continued)
LinRegTTest
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