# Linear Regression

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• Jun 9th 2005, 05:01 PM
max333
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! :)
• Jun 9th 2005, 05:24 PM
Math Help
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.
• Jun 9th 2005, 05:25 PM
Math Help
Strong positive correlation coefficient
this has a correlation coefficient of r=+1
• Jun 9th 2005, 05:26 PM
Math Help
Strong negative correlation
this one has a correlation coefficient of r = -1
• Jun 9th 2005, 05:26 PM
Math Help
positive correlation
this has a correlation of r = 0.7
• Jun 9th 2005, 05:27 PM
Math Help
negative correlation
this has a correlation coefficient of r = -0.7