The data in the table below were obtained during a colorimetric determination of glucose in blood serum.
Glucose concentration, mM Absorbance, A
0.0................................................0.002
2.0................................................0.150
4.0................................................0.294
6.0................................................0.434
8.0................................................0.570
10.0..............................................0.704
(a) Assuming a linear relationship between the variables, find the least-squares estimates of the slope and intercept.
(b) What are the standard deviations of the slope and intercept? What is the standard error of the estimate?
(c) Determine the 95% confidence intervals for the slope and intercept.
(d) A serum sample gave an absorbance of 0.413. Find the 95% confidence interval for glucose in the sample.