Curve Fitting: Linear or Quadratic? Ellen and Kelly snap Ellens new car in an empty stick lot. They mark a braking line where Ellen applies the brakes. Kelly them measures the distance from that line to the personify where Ellen stops. Below is the relationship of their speed and stopping distance. Speed (mi/h)| 5| 10| 15| 20| 25| Stopping croak (ft)| 7| 17| 30| 46| 65| A linear reasoning backward shows the relation in a chase away plot of data. The relapsing is represented by a peachy line entered to the graph to show how muscular the coefficient of correlativity coefficient is. A quadratic equation polynomial reverse is a parabola that shows the relation between data on a fool plot, to show how strong the correlation is. To find out whether a linear regression or a quadratic regression organized the data more than accurately I calculate each regression on my information processing system and looked at which correlation coefficient was stronger. To find the linear regression I used my calculator and went to stat and typed in the data consequently went to Stat Calc - LinReg(ax+b) Calc. It gave me the formula for the data on the scatter plot. Y = 2.9x + 10.5 and the correlation coefficient is .9925. This means the correlation is rattling strong since it is close to 1. The nestled the correlation coefficient is to 1 or -1 the stronger it is.
To find the quadratic regression I went to Stat Calc QuadReg Calc. The formula was y = .06x + 1.1 and the correlation coefficient was 1. This means the quadratic regression fits the data perfectly. using the information that I collect between the two regressions, qua! dratic regression is the best answer. (EXCEL) An causa of a job or career that requires linear and quadratic regressions is an Actuary. They use data to look to trends for insurance companies. Such as how long people innate(p) in a reliable year, or in a particular region, would be judge to live, or how many art accidents they get out have, or what it will cost them for healthcare during their lifetime. These...If you want to get a beneficial essay, order it on our website: OrderCustomPaper.com
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