True intercept, confidence interval

These standard deviations can be used to establish confidence intervals for the true slope and the true y-intercept... 

These values can be used to calculate confidence intervals for the true intercept and true slope. Multiple repeats of this experiment would also report different values of slope (b) and intercept (a) but all results would be in close proximity to each other. 

The true intercept is 95% confidently between —0.098 and 0.042 and since this interval includes zero therefore it may be possible that no fixed bias is evident. The confidence interval, the true slope b of a regression line, is given by ... 

The coefficients p, and p2 refer to the intercept and slope of the straight line fitting the data points (see Fig. 4 a). Being based on the random variables X and y, the coefficients p, and p2 are outcomes of random variables themselves. The true coefficients can be covered by the following 95 % confidence intervals ... 

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