Equation of the line |
The relationship between the concentration (X) and the response (Y) |
Y = b0 + b1 × X |
Intercept (b0) |
The value of Y when X equals zero |
b0 = y − b1 × X |
Slope (b1) |
The slope of the line relate to the relationship between concentration and response |
![](/articles/ijmqe/full_html/2017/01/ijmqe160046/ijmqe160046-eq16.png) |
Standard error (b0) (SE intercept) |
The standard error of the intercept can be used to calculate the required confidence interval |
![](/articles/ijmqe/full_html/2017/01/ijmqe160046/ijmqe160046-eq17.png) |
|
95% confidence interval |
– |
Standard error (b1) (SE slope) |
The standard error of the slope can be used to calculate the required confidence interval |
![](/articles/ijmqe/full_html/2017/01/ijmqe160046/ijmqe160046-eq18.png) |
|
95% confidence interval |
– |
Coefficient of determination (r2) |
The square of the correlation coefficient |
![](/articles/ijmqe/full_html/2017/01/ijmqe160046/ijmqe160046-eq19.png) |
Correlation coefficient (r) |
The correlation between the predicted and observed values. This will have a value between 0 and 1; the closer the value is to 1, the better the correlation |
![](/articles/ijmqe/full_html/2017/01/ijmqe160046/ijmqe160046-eq20.png) |
Regression SS |
The regression sum of squares is the variability in the response that is accounted for by the regression line |
SS total − ∑(Xi)2 |
Residual SS (the error sum of squares) |
The residual sum of squares is the variability about the regression line (the amount of uncertainty that remains) |
SS total − SS regression |
Total SS |
The total sum of squares is the total amount of variability in the response |
∑(Yi − Y)2 |