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Math Help - linear regression equations?

  1. #1
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    linear regression equations?

    i have one problem i am stuck on, please anyone?
    here is my data

    Simple linear regression results:
    Dependent Variable: weight
    Independent Variable: length
    weight = -491.00992 + 28.526619 length
    Sample size: 158
    R (correlation coefficient) = 0.9245
    R-sq = 0.8546454
    Estimate of error standard deviation: 137.34116

    Parameter Estimate Std. Err. DF T -Stat P-Value
    Intercept -4 91.00992 31.343002 156 -15.665696 <0.0001
    Slope 28.526619 0.94191015 156 30.285923 <0.0001

    Analysis of variance table for regression model:
    Source DF SS MS F-stat P-value
    Model 1 1.730147E7 1.730147E7 917.2371 <0.0001
    Error 156 2942564.5 18862.594
    Total 157 2.0244036E7

    Predicted values:
    X value Pred. Y s.e.(Pred. y) 95% C.I . 95% P.I.
    36.5 550.2116 12.017157 (526.4743, 573.949) (277.88684, 822.53644)







    i need to:
    write a comment about the strength of the relationship between the 2 variables based on the correlation coefficient.
    write the linear regression equation for the data
    what does the linear regression predict the weight of a fish should be when the length is 36.5 cm?

    thanks !
    Last edited by sylverhawk; July 16th 2009 at 02:17 PM. Reason: tables were unaligned
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  2. #2
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    Quote Originally Posted by sylverhawk View Post

    i need to:
    write a comment about the strength of the relationship between the 2 variables based on the correlation coefficient.

    R (correlation coefficient) = 0.9245

    This gives a strong positive relationship between the 2 variables



    Quote Originally Posted by sylverhawk View Post
    write the linear regression equation for the data
    using the above

    weight = -491.00992 + 28.526619 length



    Quote Originally Posted by sylverhawk View Post
    what does the linear regression predict the weight of a fish should be when the length is 36.5 cm?
    weight = -491.00992 + 28.526619 length

    length = 36.5 so

    weight = -491.00992 + 28.526619 x 36.5
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