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HP-10B / HP-10BII error on regression - example



#2

The HP-10B and HP-10BII give an incorrect answer for the y-intercept on certain regression problems.

Excel and the TI-BAII Plus give the correct answer.

Example:

X Y
2400 1000
3700 1350
2500 1250
3000 1800
2500 1200
3100 1700
3000 1150

This is a managerial accounting problem. X stands for units produced while Y is for mixed overhead.

Anyway, the HP-10B and HP-10BII give the equation

Y = 510.375 + 0.29166667 X

But Excel and the BAII Plus give

Y = 508.3333 + 0.291666667X

The Y intercept on the 10B is wrong.

Any ideas why? Internal round-off?

I remember problems similar to this on old HPs where people would try to find the mean and std deviation on 999999997 and 9999999995 and 9999999996 and it would zonk out because of hte large numbers involved, but these numbers are not large enough that this should be a problem.

?

Gene


#3

My HP32SII agrees with Excel, as does my HP41 with the Advantage Module. I wonder if it's a coincidence that for x=7, y=510.375, and you have seven points. Are you sure you didn't hit any wrong keys?

/ji


#4

It appears to be a real problem in the 10b somehow.

thanks for checking it with the other machines...someone else with a 10b want to confirm this is an error?

Gene


#5

All the calcs I tested it on agree with Excel (BTW: what is that strange sequence of letters between "and the" and "Plus"? ;) ).

I carefully opened up the (once) mint 10B... the only one available here.

I entered your sequence three times and I can confirm your bug... however, try this: after pushing y^,m hit "C" and y^,m again. This time it will show you the right answer.

Can you confirm this?

My 10B is a later model, s/n ID8460####.

I'll try this on a 10Bii too.

Greetings,
Massimo


#6

I've tried it on 2 older HP-10B's I have S/N 2850A and 3251S and both work fine. Didn't think to do this until just now.

All the 10Bs at school this morning are fairly recent, most are the UGLY green teal shifted function 10b's but a couple of yellow ones were there. The bug, as you note, did show up on the newer 10BII calculators as well.

Unfortunately, I don't have a bug producing 10B calculator in the house, apparently.

Any other 10B users confirm presence of bug or absence?


#7

I confirm the same behaviour on one of mine 10Biis (no, I won't open the other one too).

Just for fun I tried the same thing on a 12C (2512A####) and had the same bug (?) then on 15C (2729A####) same thing with y^,r; right answer with L.R.

Am I missing something?!?

Massimo


#8

Then you'll get the wrong answer of 510.375

If you press Clear and then estimate Y^ (for the intercept), then you get the correct answer.

At least, that is how these older 10B's work.

I have done this enough times that I can't believe I forgot to push C before doing the Y^ function. Maybe the BUG was in my own brain? :-(

Can anyone confirm that this bug exists on a 10BII AND when you enter all 7 data points, press clear and then Y^?

?

Gene


#9

Yeah, you're right!

I began babbling around before studying the basics... now I've read the 12c manual and understand how this works.

No bug then: it is consistent with what the manuals say.

Sorry,

Massimo


#10

Sorry all. Sure thought I did this properly. Oh well!
Gene

#11

I might very well have left that pesky 7 in the display and then done a y^ projection.

Sadly, I should know that, having written a chapter on linear regression in my business math textbook USING the 10B.

I did this 3 times on 3 different 10B's this morning. I must have really been asleep if I forgot to press C before EACH time.

:-(

Gene


#12

I was once troubleshooting around a 48 pin IC and kept getting the wrong signal on pin 40 or thereabouts. I asked a technician to check the wiring and make sure the right thing was connectd to the pin; he checked and told me the right thing was connected. Then I went back to what I was doing and found the wrong signal again. So just to make sure, instead of counting backwards from 48, I started at pin one and counted all the way around and found the right signal. I tried counting down again and after a little experimentation I discovered that when counting backwards from 48, I was skipping 44! As soon as I discovered it, it went away. But who knows how many more such bugs are embedded in me!


#13

Quite right! I specifically state in my textbook (which just happens to be available on amazon.com .. search for "Gene Wright Quantitative" and it will show up) to press CLEAR before calculating the Y-intercept!

Need to give myself a C- grade for this mess!

Gene

#14

Why didn't you count from 40 to 48 instead of from 1 to 40?
^_^ (I friend of mine suggested that when I told it about your problem...)


#15

What I was doing was using an oscilloscope to observe the signals on the pins of an IC on a printed circuit board. Usually, only pin 1 is explicitly marked and you know the total number of pins (the highest pin number), so my habit is to count up or down from pin 1 or pin (max), whichever is nearer to the pin I want.

This was back in the days of dual-inline packages when the largest package was about 64 pins. "Nowadays" pin counts are so high, circuit board usually have numbered tick marks every 10 pins to help you locate individual pins. That is, if you have access to the pins at all - with ball grid array packages which are very popular now, you don't have direct access to the pins on the top or the bottom of the board. There was a period in between when "smaller" surface mount parts (84 or 100 pins) would be marked on the circuit board with the numbers of the corner pins. But in any of these cases, at some point you have to count to get to the pins in the middle.

#16

My 20s agrees with Excel and the BAII+.

#17

The HP48G+ too gives
'508.333333333+.291666666667*X'
(Correlation:.455).

Choosing the best fit model it gives
'4.4530492363*X^.715680669564'
(Correlation:.524).


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