Casio 330 - Manual (Page 444)

20090601
Input Example:
Syntax 1 (list format)
TwoSampleTTest “<”,list1,list2,1,1,Off
Syntax 2 (parameter format)
TwoSampleTTest “ x”,107.5,0.78,10,97.5,0.65,12,Off
Linear Regression t Test
Menu: [Test]-[Linear Reg TTest]
Description: This command treats two groups of data as paired variables ( x , y ). The
method of least squares is used to determine the most appropriate pair for the
a , b coefficients of the regression formula y = a + b . x . It also determines the
correlation coefficient and t value, and calculates the strength of the
relationship between x and y .
a : regression constant term ( y -intercept)
b : regression coefficient (slope)
n : sample size ( n 3)
r : correlation coefficient
r 2
: coefficient of determination
Definition of Terms
β & R
tail test, “>” specifies upper one-tail test.)
XList : x -data list
YList : y -data list
Freq : frequency (1 or list name)
Calculation Result Output
β x 0 & R x 0 : test condition
t : t value
p : p -value
df : degrees of freedom
a : regression constant term ( y -intercept)
b : regression coefficient (slope)
s
e
: standard error of estimation
r : correlation coefficient
r 2 : coefficient of determination
7-9-12
Tests
b =
( x –
o)( y – p)
i=1
n
(x –
o) 2
i=1
n
a =
p – b.o
t = r
n – 2
1 – r 2