The data in the table below were obtained during a colorimetric determination of glucose in blood serum.
Glucose concentration, mM | Absorbance, A |
0 | 0.002 |
2 | 0.15 |
4 | 0.294 |
6 | 0.434 |
8 | 0.57 |
10 | 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.
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