New method for blood typing. Refer to the Analytical Chemistry (May 2010) study in which m...

New method for blood typing. Refer to the Analytical Chemistry (May 2010) study in which medical researchers tested a new method of typing blood using lost cost paper,

New method for blood typing. In Analytical Chemistry (May 2010), medical researchers tested a new method of typing blood using low cost paper. Blood drops were applied to the paper and the rate of absorption (called blood wicking ) was measured. The table gives the wicking lengths (in millimeters) for six blood drops, each at a different antibody concentration. (The data are saved in the BLOODTYPE file.) Construct a plot to investigate the relationship between wicking length and antibody concentration. What do you observe?

Based on Khan, M. S., “Paper diagnostic for instant blood typing.” Analytical Chemistry , Vol. 82, No. 10, May 2010.

 The researchers applied blood drops to the paper and recorded the rate of absorption (called blood wicking ). The table gives the wicking lengths (millimeters) for six blood drops, each at a different antibody concentration. The data are saved in the BLOODTYPE file. Let y = wicking length and x = antibody concentration .

a. Give the equation of the straight-line model relating y to x.

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b. An SPSS printout of the simple linear regression analysis is shown below. Give the equation of the least squares line.

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c. Give practical interpretations (if possible) of the estimated y -intercept and slope of the line.

The data in the BLOODTYPE file were used to fit the straight-line model relating y = wicking length to x = antibody concentration. The SPSS printout follows.

a. Give the values of SSE, s2 , and s shown on the printout.

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b. Give a practical interpretation of s . Recall that wicking length is measured in millimeters.