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Coefficient of variation - HP 10bII Calculator

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What is the average rate of change for 5x+4


The rate of change for the function y=5x+4 is the coefficient 5 that multiplies the independent variable x. For a unit variation of x (x varies by 1) y varies by 5 units.
Between x1=2 to x2=3, y varies from y1=5*2+4=14 to y2=5*3+4=19.
The rate of change is defined as
(variation in y)/(variation in x)=(19-14)/(3-2)=5

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How to calculate coefficient of variation on TI-36XPro


As given in part three of the question, divide the standard deviation by the average then multiply by 100.

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What to do when error;invalid DIM shows up on the screen?


INVALID DIM error message may occur
if you are trying to graph a function that does
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turn the stat plots off, press 2nd (stat plot) ,and
then select 4:PlotsOff.
• You specified a list dimension as something
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Simplify 3 · 2x. What is the coefficient?


Do the operation 3*2=6. Put the 6 in front of x. 6 is the coefficient
The result, in simplified form, is 6x

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1 Answer

Ti-89 titanium diagnostics


There is no DiagnosticsOn command in the TI 89 Titanium. The command exists on the TI83/84PLUS where it displays the r and r^2 coefficients. On the TI89 , the correlation coefficient and the determination coefficient (r, r^2) are displayed by default among the statistics if THE REGRESSION MODEL includes them. If they are not defined by the regression model they will not be displayed. In short, you do not have to turn diagnostics ON.

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2 Answers

TI-89 Titanium: I want to solve a Binomial Theorem problem (x+y)^6 how would i go about solving this in the calculator?


Using elementary algebria in the binomial theorem, I expanded the power (x + y)^n into a sum involving terms in the form a x^b y^c. The coefficient of each term is a positive integer, and the sum of the exponents of x and y in each term is n. This is known as binomial coefficients and are none other than combinatorial numbers.

Combinatorial interpretation:

Using binomial coefficient (n over k) allowed me to choose k elements from an n-element set. This you will see in my calculations on my Ti 89. This also allowed me to use (x+y)^n to rewrite as a product. Then I was able to combine like terms to solve for the solution as shown below.
(x+y)^6= (x+y)(x+y)(x+y)(x+y)(x+y)(x+y) = x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6

This also follows Newton's generalized binomial theorem:


oneplusgh_15.jpg
Now to solve using the Ti 89.


Using sigma notation, and factorials for the combinatorial numbers, here is the binomial theorem:

oneplusgh.gif

The summation sign is the general term. Each term in the sum will look like that as you will see on my calculator display. Tthe first term having k = 0; then k = 1, k = 2, and so on, up to k = n.
Notice that the sum of the exponents (n ? k) + k, always equals n.



oneplusgh_26.jpg


The summation being preformed on the Ti 89. The actual summation was preformed earlier. I just wanted to show the symbolic value of (n) in both calculations. All I need to do is drop the summation sign to the actual calculation and, fill in the term value (k), for each binomial coefficient.



oneplusgh_18.jpg

This is the zero th term. x^6, when k=0. Notice how easy the calculations will be. All I'm doing is adding 1 to the value of k.


oneplusgh_19.jpg

This is the first term or, first coefficient 6*x^5*y, when k=1.
Solution so far = x^6+6*x^5*y



oneplusgh_20.jpg


This is the 2nd term or, 2nd coefficient 15*x^4*y^2, when k=2.
Solution so far = x^6+6*x^5*y+15*x^4*y^2



oneplusgh_27.jpg



This is the 3rd term or, 3rd coefficient 20*x^3*y^3, when k=3.
Solution so far = x^6+6*x^5*y+15*x^4*y^2+20*x^3*y^3



oneplusgh_28.jpg



This is the 4th term or, 4th coefficient 15*x^2*y^4, when k=4.
Solution so far = x^6+6*x^5*y+15*x^4*y^2+20*x^3*y^3+15*x^2*y^4



oneplusgh_21.jpg


This is the 5th term or, 5th coefficient 6*x*y^5, when k=5.
Solution so far = x^6+6*x^5*y+15*x^4*y^2+20*x^3*y^3+15*x^2*y^4+6*x*y^5



oneplusgh_22.jpg

This is the 6th term or, 6th coefficient y^6, when k=6.
Solution so far = x^6+6*x^5*y+15*x^4*y^2+20*x^3*y^3+15*x^2*y^4+6*x*y^5+y^6



oneplusgh_23.jpg

Putting the coefficients together was equal or, the same as for when I used the expand command on the Ti 89.

binomial coefficient (n over k) for (x+y)^6
x^6+6*x^5*y+15*x^4*y^2+20*x^3*y^3+15*x^2*y^4+6*x*y^5+y^6












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1 Answer

How do I input multi variate( x, y) statistical data into my sharp 520W calculator?


I have 3 questions in aquestionnaire wherein respondents answer yes or no. with these questions I would like to determine the correlation coefficient between training impact and employee performance

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2 Answers

Factoring polynomials "Algebra"


Mode>choose "5"
choose equation format "4"
input the coefficient for a which is "1" and hit "="
input the coefficient for b which is "4" and hit "="
input the coefficient for c which is "3" and hit "="
input the coefficient for d which is "12" and hit "="
Hit "=" for X1
Hit "=" again for X2
Hit "=" again for X3

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