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Math Help - Linear Regression

  1. #1
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    Linear Regression

    A linear regression equation of best fit between a student's attendance and the degree of success in school is h= 0.5x+68.5. The correlation coefficient, r, for these data would be?

    1) 0<r<1
    2) -1<r<0
    3) r=0
    4) r=-1
    **How would you find the correlation coefficient?

    Thank You!
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  2. #2
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    correlation coefficient

    A linear regression equation of best fit between a student's attendance and the degree of success in school would have a positive relationship. Meaning that the more a student went to school the better his/her success.

    The correlation coefficient, r, for a positive relationship would be between 0 and 1.

    negative relationship would mean that as x increases h decreases and we know just by looking at the equation that that is not true.

    If the data falls very close to the equation then the value woud be very close to 1. I will attach some more examples of correlation coefficient values.
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  3. #3
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    Strong positive correlation coefficient

    this has a correlation coefficient of r=+1
    Attached Thumbnails Attached Thumbnails Linear Regression-1.jpg  
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  4. #4
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    Strong negative correlation

    this one has a correlation coefficient of r = -1
    Attached Thumbnails Attached Thumbnails Linear Regression-1.gif  
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  5. #5
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    positive correlation

    this has a correlation of r = 0.7
    Attached Thumbnails Attached Thumbnails Linear Regression-0_7.jpg  
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  6. #6
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    negative correlation

    this has a correlation coefficient of r = -0.7
    Attached Thumbnails Attached Thumbnails Linear Regression-0_7.gif  
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