Question about Math
You want to find the equation for a line that passes through the two points:
(4,3) and (1,5).
put these into
and it will explain the maths involved
midpoint M so x increased 3 from point k so at point JK would have to have x as 7
point J should be 7,10.333333333333333333333333334
or 7, 10 and 1/3
Posted on Nov 02, 2019
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Posted on Jan 02, 2017
SOURCE: whenever i enter coordinates for
Before doing statistics, you have to prepare the calculator by clearing old data that may generate errors.
A. TO CLEAR OLD DATA
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
D. ENTER THE DATA
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 statistical RESULTS (optional)
Notice the Down Arrow next to n=7. That means the results screen has more values. Press the Down Arrow to display.
You notice that the n=7 line now has an arrow pointing Up. Notice the Down Arrow 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 statistics.
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 mimics the raw data best. Select Regression model ( exponential, linear, sine, quadratic, etc.) Here I selected Exponential
You also have r and its square.
Since the equation is saved in the Y1 function it can be superposed on the scatter plot. 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.
F. 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 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] keyboard is active.
On the line Mark you can choose the appearance 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.
The graph above represents a parabola and has nothing to do with the sample data entered. But it shows the raw data and the curve of best fit on the same screen.
Posted on Sep 05, 2010
SOURCE: how to find slope with
Assuming your two point coordinates are of the form (x1, y1) and (x2, y2).
There are two possible methods:
You can use the slope formula which is commonly known as "rise over run." To do this: slope = (y2 - y1) / (x2 - x1) This means that the vertical distance covered by the two points divided by the horizontal distance covered by the two points is equal to the slope.
You can use your calculator's linear regression capabilities:
First step: Press the STAT button (next to the arrow keys toward the top right of your calculator).
Second: Select the first option, Edit...
Third: Under L1, enter your first x value, press enter, enter your second x value, press enter again.
Fourth: Under L2, enter your first y value, press enter, enter your second y value, press enter again.
Fifth: Press the STAT button again. Press the right arrow button to highlight CALC.
Sixth: Select the fourth option LinReg(ax+b).
Seventh: Press 2ND then 1 (L1 should show up on your screen). Then press the comma button (right above the number 7). Press 2ND then 2 (L2 should show up on your screen). Press ENTER.
Eighth: Once you press ENTER, several values will appear. The a value is the slope of the two coordinates.
Posted on Mar 03, 2011
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