Statistics 105
Find the power curve formulas that best expresses h as a function of t (h = At
B
).
12c platinum / 12C
RPN Keystrokes
12c platinum
ALG Keystrokes
Display Comments
fCLEARH fCLEARH
30g° 30g°
2g°_ 2g°_
1.00
First pair data input.
50g° 50g°
2.5g°_ 2.5g°_
2.00
Second pair data input.
90g° 90g°
3.5g°_ 3.5g°_
3.00
Third pair data input.
130g° 130g°
4g°_ 4g°_
4.00
Fourth pair data input.
150g° 150g°
4.5g°_ 4.5g°_
5.00
Fifth pair data input.
gR~ gR~
1.00
Correlation coefficient
(between In y and ln x).
0gRg> 0gRg>
7.72
Value of A.
1gR0gR 1gR0gR
~d- -~d³
1.99
Value of B.
The formula that best expresses h as a function of t is
99.1
72.7 th =
We know, as Galileo did not, that in fact h is proportional to t
2
.
Standard Error of the Mean
The standard error of the mean is a measure of how reliable the mean of a sample (X) is
as an estimator of the mean of the population from which the sample was drawn.
To calculate the standard error of the mean:
1.
Press
fCLEARH.
2.
If you are summing one set of numbers, key in the first number and press
_.
Continue until you have entered all of the values.
3.
If you are summing two sets of numbers, key in the y-value and press
\(³), key
in the x-value and press
_. Continue until you have entered all of the values.
4.
Press
gÖ to obtain the mean of the x-values.
RPN Mode:
5.
Press
gv:1grz to obtain the standard error of the mean of the x-values.
6.
Alternatively, press
gv~:1grz to obtain the standard error for the
mean of the y-values.
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