Results 1 to 2 of 2

Thread: Linear regression line question

  1. #1
    OMg is offline
    Apr 2014

    Linear regression line question

    A study considered the Olympic medal winners (gold, silver and bronze)
    time in the mens 100 metre dash from 1900 till 2008. A plot of calendar
    year versus official time (measured in seconds) recorded to complete the race
    showed a definite linear relationship between the variables. The equation of
    the linear regression line was found to be

    Time = 33.78 0.01194Year.

    (a) For the regression line, identify what the slope is and interpret its mean-
    ing in the context given here.

    So Is the slope 33.78 because y= mx + b and mx is the slope value? Is my answer right?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Nov 2013

    Re: Linear regression line question

    I'm assuming you mean $time=33.78 - 0.01194 yr$

    The slope is 0.01194 since it is what multiplies the year. 33.78 is the average value of the times had they been run in the year 0.

    The slope is the incremental amount that runners get faster each year.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: Feb 5th 2013, 09:50 PM
  2. Replies: 1
    Last Post: Oct 21st 2010, 01:14 PM
  3. Linear regression question
    Posted in the Statistics Forum
    Replies: 1
    Last Post: Sep 4th 2010, 07:29 AM
  4. Linear Regression Question
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: May 29th 2010, 04:07 AM
  5. Linear Regression Line
    Posted in the Business Math Forum
    Replies: 1
    Last Post: Jan 29th 2008, 02:34 AM

Search Tags

/mathhelpforum @mathhelpforum