SOLUTION: http://i147.photobucket.com/albums/r317/fizzero/graph.jpg ^that is the link to the graph. what is the slope and verticle intercept for the line? m=? and y-intercept=

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: http://i147.photobucket.com/albums/r317/fizzero/graph.jpg ^that is the link to the graph. what is the slope and verticle intercept for the line? m=? and y-intercept=      Log On


   



Question 117448: http://i147.photobucket.com/albums/r317/fizzero/graph.jpg

^that is the link to the graph.



what is the slope and verticle intercept for the line?
m=? and y-intercept=

what is the equation of the line?
using the least square method what is the correlation coefficient?
r= ??

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
From your graph, you have 9 (x,y) data pairs.
First, make a table with the x,y data points.
Add 5 columns to your table.
1.x%5Bi%5D
2.y%5Bi%5D
3.%28x%5Bi%5D-x%5Ba%5D%29
4.%28y%5Bi%5D-y%5Ba%5D%29
5.%28x%5Bi%5D-x%5Ba%5D%29%5E2
6.%28y%5Bi%5D-y%5Ba%5D%29%5E2
7.%28x%5Bi%5D-x%5Ba%5D%29%28y%5Bi%5D-y%5Ba%5D%29
where x%5Ba%5D is the average of the x values and y%5Ba%5D is the vaverage of the y values.
Calculate the values for i=1 to 9.
Sum columns 5,6,7.
You are solving for the regression equation
y=b%5B1%5Dx%2Bb%5B0%5D
where

or
b%5B1%5D=%28Sum_of_column_7%29%2F%28Sum_of_column_5%29
and
b%5B0%5D=y%5Ba%5D-b%5B1%5D%2Ax%5Ba%5D
From this we see that
b%5B1%5D is the slope of the regression line.
b%5B0%5D is the y-intercept of the regression line.
y=b%5B1%5Dx%2Bb%5B0%5D is the equation of the regression line.
To calculate the r%5E2, you need to calculate two more quanitities, sigma%5Bx%5D and sigma%5By%5D
where
sigma%5Bx%5D=sqrt%28sum%28%28x%5Bi%5D-x%5Ba%5D%29%5E2%29%2FN%29
or
sigma%5Bx%5D=sqrt%28Sum_of_column_5%2FN%29
and
sigma%5By%5D=sqrt%28sum%28%28y%5Bi%5D-y%5Ba%5D%29%5E2%29%2FN%29
or
sigma%5By%5D=sqrt%28Sum_of_column_6%2FN%29
and
N is the number of data points, 9.
The coefficient, r%5E2, is then calculated from

r%5E2=%28%281%2FN%29%2ASum_of_column_7%2F%28sigma%5Bx%5Dsigma%5By%5D%29%29%5E2
EXCEL is the perfect program to do this kind of work.
Good luck.
Post another question if you get stuck.