16–8 Statistics Programs
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5. Repeat steps 3 and 4 for each data pair. If you discover that you have made
an error after you have pressed
¥
in step 3 (with the
value prompt still
visible), press
¥
again (displaying the
value prompt) and press
t
U
to undo (remove) the last data pair. If you discover that you made an error after
step 4, press
t
U. In either case, continue at step 3.
6. After all data are keyed in, press
t
R to see the correlation coefficient, R.
7. Press
¥
to see the regression coefficient B.
8. Press
¥
to see the regression coefficient M.
9. Press
¥
to see the
value prompt for the
ˆ
,
ˆ
–estimation routine.
10. If you wish to estimate
ˆ
based on x, key in x at the
value prompt, then
press
¥
to see
ˆ
(
).
11. If you wish to estimate
ˆ
based on y, press
¥
until you see the
value
prompt, key in y, then press
¥
to see
ˆ
(
).
12. For more estimations, go to step 10 or 11.
13. For a new case, go to step 2.
Variables Used:
B Regression coefficient (y–intercept of a straight line); also used for
scratch.
M Regression coefficient (slope of a straight line).
R Correlation coefficient; also used for scratch.
X The x–value of a data pair when entering data; the hypothetical x
when projecting
ˆ
; or
ˆ
(x–estimate) when given a hypothetical
y.
Y The y–value of a data pair when entering data; the hypothetical y
when projecting
ˆ
; or
ˆ
(y–estimate) when given a hypothetical
x.
i Index variable used to indirectly address the correct
x
ˆ
–,
ˆ
–projection equation.
Statistics registers Statistical accumulation and computation.
Example 1:
Fit a straight line to the data below. Make an intentional error when keying in the
third data pair and correct it with the undo routine. Also, estimate y for an x value
of 37. Estimate x for a y value of 101.