Read this post. It answers all your questions and shows you HOW to do
find your equation of best fit, correlation coefficients, etc.
Before
doing statistics, you have to prepare the calculator by clearing old
data that may generate errors.
A. TO CLEAR OLD DATA
B. RUN the SETUP EDITOR Command
C. TURN DIAGNOSTICSON option
(optional)
To
obtain the correlation coefficient in a statistical analysis on the
TI8xPlus family of calculators you must activate the DiagnosticsOn
option. To access the command
From now on, if a
correlation coefficient has meaning for a regression model, it will be
calculated along with the other statistical results. If it has no
meaning to the model it will not be calculated.
D. ENTER THE DATA
Press [STAT][1:Edit]
Type in your D (X ) values in L1
and the N (Y) values in L2 (see picture 1). Sorry the picture does not have YOUR values.
TO OBTAIN THE STATISTICAL RESULTS (optional)
Here is
what you get (THESE~ARE NOT YOUR RESULTS). Your results will be different.TI-83 Texas calculator, exponential regression. - f2d3743.jpgsrc="/uploads/images/f2d3743.jpg" alt="f2d3743.jpg" class="h_mi" />
Notice
the down arrow next to n=7. That means the results screen hTI-83 Texas calculator, exponential regression. - ab847d7.jpgalues. Press the down arrow to display.
You
notice
that the n=7 line now has an arrow pointing Up. Notice theTI-83 Texas calculator, exponential regression. - 37fb2ba.jpgw on the bottom line (more data is coming). Here is the rest of the
statistical results.
There
is no arrow at the bottom of the picture. End of statistical results.
The
screen
captures with 2-Var Stats summarize all the satistics.
However
there is no correlation coefficient, no line of best fit, etc. To
obtain that you have to perform a regression analysis.
E. PERFORM A REGRESSION ANALYSIS
To
perform a regression analysis, you must try several regression models
and then find the one that mimicks the raw data best. In this
particular case, you have already decided to do a linear regression,
and that is good for me. I do not have the time to take you through all
of them. In this step you must select the exponential regression model.
Here
are your results. (These are your actual results)
You also have r and its square.
You need to read your theory to know which of the two correlation
coefficients you have been asked to obtain.
Since you saved the
equation in the Y1 function you can draw it. You just have to press
GRAPH and it will be drawn. But that will not tell how good the fit is,
until you see the function drawn on top of the raw data.
DRAWING THE SCATTER PLOT AND BEST FIT CURVE ON SAME SCREEN
Regardless
of the curve of best fit, you can draw a scatter plot as follows.
Here
is the configuration screen
Here
plot1
is active (ON), it is scatter plot (first icon) the Xlist is L1
by default but you can change it to some other list. Notice the
highlighted A cursor on XLIST line. It means that the [ALPHA] keyboTI-83 Texas calculator, exponential regression. - d6e8e98.jpgive.
On the line Mark you can choose the appearnce of the raw
data point.
And here are your two graphs: the raw data scatter
plot and the line of best fit on the same screen. On the picture the ZoomStat option was used.
Now,
it is up to you to accept this model or to try another model.
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