13-24 Inferential Statistics and Distributions
8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 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 H0: b=0 (equivalently,
r=0) against one of the alternatives below.
• Ha: bƒ0 and rƒ0 (b & r:ƒ0)
• Ha: b<0 and r<0 (b & r:<0)
• Ha: 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={3856 59 64 74}
L4={4163 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.
LinRegTTest