0
$\begingroup$

i am given data for analysis following data:relationship between height and weight,question is :is relationship between them linear?like $y$=$a$+$b$*$x$+$e$ where e is error,or quadratic?or cubic?data is following(y denoted height, x-weight)

y   x 170 65 167 55 189 85 175 70 166 55 174 55 169 69 170 58 184 74 161 56 170 75 182 68 167 51 187 85 178 62 173 60 172 68 178 55 175 65 176 70 

i have calculated a and b and get following result

y=139.6155237+0.5308912572*x 

i dont know how to calculate e?or what me result means?please help me how to find e and how to check correctness of my work

EDITED: i have edited my work,i am sure it is correct,what  now should i do? 
  • 0
    ok i will try to do it and in case of any questions,i will post here2012-04-11

1 Answers 1

1

First you fit the data with your expectation model: $y=a+bx$

Then you compute pertuberations of data points around the model curve (line). Analysis of this will give you variance in data points (the error). The least squares approach expects the errors are distributed normally, so that the errors should be samples drawn from gaussian distribution.

Your (least squares) estimator have two properties: precision and accuracy. I think the precision is what you want to compute. Accuracy is about bias, and this is harder to grasp (e.g. all weights are slighly bigger because of uncalibrated measurement device).