HP 50g User Manual page 621

Graphing calculator
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Procedure for inference statistics for linear regression using the
calculator
1) Enter (x,y) as columns of data in the statistical matrix DAT.
2) Produce a scatterplot for the appropriate columns of
appropriate H- and V-VIEWS to check linear trend.
3) Use ‚Ù˜˜@@@OK@@@, to fit straight line, and get a, b, s
(Covariance), and r
4) Use ‚Ù˜@@@OK@@@,
statistics for x while column 2 will show the statistics for y.
5) Calculate
6) For either confidence intervals or two-tailed tests, obtain t
)100% confidence, from t-distribution with
7) For one- or two-tailed tests, find the value of t using the appropriate
equation for either
8) For confidence intervals use the appropriate formulas as shown above.
Example 1 -- For the following (x,y) data, determine the 95% confidence
interval for the slope B and the intercept A
Enter the (x,y) data in columns 1 and 2 of DAT, respectively. A scatterplot of
the data shows a good linear trend:
Use the
Fit Data..
a+b x+(t
(Correlation).
xy
to obtain x, y, s
S
(
n
) 1
s
xx
or . Reject the null hypothesis if
x
2.0
2.5
y
5.5
option in the ‚Ù menu, to get:
3: '-.86 + 3.24*X'
2: Correlation: 0.989720229749
) s
n-2,
/2
n
1
2
s
2
e
n
2
x
,
3.0
3.5
7.2
9.4
10.0
[1+(1/n)+(x
e
0
, s
. Column 1 will show the
x
y
2
2
s
1 (
r
)
y
xy
= n -2.
P-value
4.0
12.2
2
1/2
- x)
/S
]
.
xx
DAT, and use
xy
, with (1-
/2
< .
Page 18-54

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