Points= ( x1, y1) and ( x2,y2)
= (4,3) and (1,5)
j= ( x1+x2/2, y1+y2/2 )
= ( 4+1/2, 3+5/2 )
= ( 5/2, 8/2 )
= ( 2.5, 4 )
You want to find the equation for a line that passes through the two points:
(4,3) and (1,5).
put these into
http://www.webmath.com/equline1.html
and it will explain the maths involved
is
from http://www.webmath.com/equline1.html
y=-2/3x+17/3
midpoint M so x increased 3 from point k so at point JK would have to have x as 7
y=2/3*7+17/3
y=14/3+17/3
y=31/3
y=10.3
point J should be 7,10.333333333333333333333333334
or 7, 10 and 1/3
http://www.webmath.com/equline1.html
SOURCE: whenever i enter coordinates for
Two possibilities:
To help you setup your calculator To perform regression analysis I am inserting here a copy of a more detailed post of mine where I show the complete procedure applied to a quadratic regression.
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 statistical RESULTS (optional)
Here is
what one gets with the data above.
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
Here
are your results. (These are your actual results)
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
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] 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.
SOURCE: my check engine light is on steady and my
See what code your computer has set. Get it scanned. It may be a temperature sensor issue.
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.
Use a piece of graph paper. Easy.
293 views
Usually answered in minutes!
×