Determine the following calibration data for the spectrophotometric determination of the manganese in steel:
Manganese% Solution Absorbance
0.00(blank) 0.026
0.50 0.110
1.00 0.242
1.50 0.337
2.00 0.485
1. Determine the best fit of the absorbance data to a straight line by using the method of least squares to report the best estimate of the slope and intercept of the calibration line.
2. Calculate the absorbance error (sample standard deviation) from these results.
3. Determine the numbers of degrees of freedom are associated with the error estimate?
4. Determine the % manganese in the sample when an unknown sample produces a solution absorbance of 0.294.