HP 50g User Manual page 622

These results are interpreted as a = -0.86, b = 3.24, r
and s = 2.025. The correlation coefficient is close enough to 1.0 to confirm
xy
the linear trend observed in the graph.
From the
Single-var...
0.790569415042, y = 8.86, s
Next, with n = 5, calculate
S
xx
5
5
Confidence intervals for the slope ( ) and intercept (A):
First, we obtain t
a program to solve for t
Next, we calculate the terms
(t
n-2, /2
3.1824...
Finally, for the slope B, the 95% confidence interval is
(-0.86-0.860242, -0.86+0.860242) = (-1.72, -0.00024217)
For the intercept A, the 95% confidence interval is (3.24-2.6514,
3.24+2.6514) = (0.58855,5.8914).
1: Covariance: 2.025
option of the ‚Ù menu we find: x = 3, s
y
2
( n ) 1 s 5 (
x
n
2
s
e
n
1
2
. 2 5880 ...
2
= t
n-2, /2 3
):
,a
) s / S = 3.182... (0.1826.../2.5)
e xx
(t ) s
n-2, /2
.1826... [(1/5)+3
= 2.58804945857.
) 1 . 0 7905694150
1
2
s 1 ( r
y
2
1 ( . 0 9897 ...
, = 3.18244630528 (See chapter 17 for
0.025
2
[(1/n)+ x /S
e xx
2
/2.5]
= 0.989720229749,
xy
2
42 2
2
)
xy
2
) . 0 1826 ...
1/2
= 0.8602...
1/2
] =
1/2
= 2.65
=
x
5 .
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