TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App ˆ Tests Menu 165
LinRegTTest
Description
2 ˆ (
Tests) Æ A:LinRegTTest for the TI-89
ˆ (Tests) Æ A:LinRegTTest for the TI-92 Plus / Voyage™ 200 PLT
LinRegTTest (linear regression t test) 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
: bƒ0 and rƒ0
¦ H
a
: b<0 and r<0
¦ H
a
: b>0 and r>0
The regression equation is automatically stored to the RegEqn variable in the STATVARS
folder. If you enter a Y= variable name at the
Store RegEqn to prompt, the calculated
regression equation is automatically stored to the specified Y= equation.
Inputs
X List, Y List Lists of independent and dependent variables.
Freq Frequency value for the data in List 1 and List 2. The default is 1. All
elements must be integers | 0. Each element in the frequency
(Freq) list
is the frequency of occurrence for each corresponding data point in the
input list specified in the
List field.
Alternate Hyp
(
b&rπ
ππ
π0, b&r<
<<
<0, b&r>
>>
>0)
Three alternate hypotheses against which the null hypothesis
(H
0
: b=r=0) may be tested.
Store RegEqn to Regression equation: y=a+b*x
Results
(Calculate or Draw)
Calculate: Display numerical and symbolic test results in a dialog box.
Draw: Draw a graph of the test results.