For the following exercise construct a scatter diagram and obtain the regression equation and plot it on the scatter diagram. Reiss et al. (A-3) compared point-of-care and standard hospital laboratory assays for monitoring patients receiving a single anticoagulant or a regimen consisting of a combination of anticoagulants. It is quite common when comparing two measuring techniques, to use regression analysis in which one variable is used to predict another. In the present study, the researchers obtained measures of international normalized ratio (INR) by assay of capillary and venous blood samples collected from 90 subjects taking warfarin. INR, used especially when patients are receiving warfarin, measures the clotting ability of the blood. Point-of-care testing for INR was conducted with the CoaguChek assay product. Hospital testing was done with standard hospital laboratory assays. The authors used the hospital assay INR level to predict the CoaguChek INR level. The measurements are given in the following table. Y X 1.8 1.6 1.6 1.9 2.5 2.8 1.9 2.4 1.3 1.5 2.3 1.8 1.2 1.3 2.3 2.4 2 2.1 1.5 1.5 2.1 2.4 1.5 1.5 1.5 1.7 1.8 2.1 1 1.2 2.1 1.9 1.6 1.6 1.7 1.6 2 1.9 1.8 1.6 1.3 4.1 1.5 1.9 3.6 2.1 2.4 2.2 2.2 2.3 2.7 2.2 2.9 3.1 2 2.2 1 1.2 2.4 2.6 2.4 1.2 2.3 2.3 2 1.6 3.3 3.8 1.9 1.6 1.8 1.5 2.8 1.8 2.5 1.5 0.8 1 1.3 1.2 3.7 1.4 2.4 1.6 4.1 3.2 2.4 1.2 2.3 2.3 3.1 1.6 1.5 1.4 3.6 2.1 2.5 1.7 2.1 1.7 1.8 1.2 1.5 1.3 2.5 1.1 1.5 1.2 1.5 1.1 1.6 1.2 1.4 1.4 4 2.3 2 1.2 2.5 1.5 3.1 2.4 1.7 1.8 1.8 1.6 1.9 1.7 5.3 4.2 1.6 1.6 1.6 1.4 3.3 3.3 1.5 1.5 2.2 2.8 1.1 1.6 2.6 2.6 6.4 5 1.5 1.4 3 2.8 2.6 2.3 1.2 1.2 2.1 1.9 1.1 1.1 1 1 1.4 1.5 1.7 1.3 1.2 1.1 2.5 2.4 1.2 1.3 2.5 2.9 1.9 1.7 1.8 1.7 1.2 1.1 1.3 1.1

College Algebra

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ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section4.3: Fitting Linear Models To Data

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For the following exercise construct a scatter diagram and obtain the regression equation and plot it on the scatter diagram.

Reiss et al. (A-3) compared point-of-care and standard hospital laboratory assays for monitoring patients receiving a single anticoagulant or a regimen consisting of a combination of anticoagulants. It is quite common when comparing two measuring techniques, to use regression analysis in which one variable is used to predict another. In the present study, the researchers obtained measures of international normalized ratio (INR) by assay of capillary and venous blood samples collected from 90 subjects taking warfarin. INR, used especially when patients are receiving warfarin, measures the clotting ability of the blood. Point-of-care testing for INR was conducted with the CoaguChek assay product. Hospital testing was done with standard hospital laboratory assays. The authors used the hospital assay INR level to predict the CoaguChek INR level. The measurements are given in the following table.

Y	X
1.8	1.6
1.6	1.9
2.5	2.8
1.9	2.4
1.3	1.5
2.3	1.8
1.2	1.3
2.3	2.4
2	2.1
1.5	1.5
2.1	2.4
1.5	1.5
1.5	1.7
1.8	2.1
1	1.2
2.1	1.9
1.6	1.6
1.7	1.6
2	1.9
1.8	1.6
1.3	4.1
1.5	1.9
3.6	2.1
2.4	2.2
2.2	2.3
2.7	2.2
2.9	3.1
2	2.2
1	1.2
2.4	2.6
2.4	1.2
2.3	2.3
2	1.6
3.3	3.8
1.9	1.6
1.8	1.5
2.8	1.8
2.5	1.5
0.8	1
1.3	1.2
3.7	1.4
2.4	1.6
4.1	3.2
2.4	1.2
2.3	2.3
3.1	1.6
1.5	1.4
3.6	2.1
2.5	1.7
2.1	1.7
1.8	1.2
1.5	1.3
2.5	1.1
1.5	1.2
1.5	1.1
1.6	1.2
1.4	1.4
4	2.3
2	1.2
2.5	1.5
3.1	2.4
1.7	1.8
1.8	1.6
1.9	1.7
5.3	4.2
1.6	1.6
1.6	1.4
3.3	3.3
1.5	1.5
2.2	2.8
1.1	1.6
2.6	2.6
6.4	5
1.5	1.4
3	2.8
2.6	2.3
1.2	1.2
2.1	1.9
1.1	1.1
1	1
1.4	1.5
1.7	1.3
1.2	1.1
2.5	2.4
1.2	1.3
2.5	2.9
1.9	1.7
1.8	1.7
1.2	1.1
1.3	1.1

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Y	X
1.8	1.6
1.6	1.9
2.5	2.8
1.9	2.4
1.3	1.5
2.3	1.8
1.2	1.3
2.3	2.4
2	2.1
1.5	1.5
2.1	2.4
1.5	1.5
1.5	1.7
1.8	2.1
1	1.2
2.1	1.9
1.6	1.6
1.7	1.6
2	1.9
1.8	1.6
1.3	4.1
1.5	1.9
3.6	2.1
2.4	2.2
2.2	2.3
2.7	2.2
2.9	3.1
2	2.2
1	1.2
2.4	2.6
2.4	1.2
2.3	2.3
2	1.6
3.3	3.8
1.9	1.6
1.8	1.5
2.8	1.8
2.5	1.5
0.8	1
1.3	1.2
3.7	1.4
2.4	1.6
4.1	3.2
2.4	1.2
2.3	2.3
3.1	1.6
1.5	1.4
3.6	2.1
2.5	1.7
2.1	1.7
1.8	1.2
1.5	1.3
2.5	1.1
1.5	1.2
1.5	1.1
1.6	1.2
1.4	1.4
4	2.3
2	1.2
2.5	1.5
3.1	2.4
1.7	1.8
1.8	1.6
1.9	1.7
5.3	4.2
1.6	1.6
1.6	1.4
3.3	3.3
1.5	1.5
2.2	2.8
1.1	1.6
2.6	2.6
6.4	5
1.5	1.4
3	2.8
2.6	2.3
1.2	1.2
2.1	1.9
1.1	1.1
1	1
1.4	1.5
1.7	1.3
1.2	1.1
2.5	2.4
1.2	1.3
2.5	2.9
1.9	1.7
1.8	1.7
1.2	1.1
1.3	1.1

Y	X
1.8	1.6
1.6	1.9
2.5	2.8
1.9	2.4
1.3	1.5
2.3	1.8
1.2	1.3
2.3	2.4
2	2.1
1.5	1.5
2.1	2.4
1.5	1.5
1.5	1.7
1.8	2.1
1	1.2
2.1	1.9
1.6	1.6
1.7	1.6
2	1.9
1.8	1.6
1.3	4.1
1.5	1.9
3.6	2.1
2.4	2.2
2.2	2.3
2.7	2.2
2.9	3.1
2	2.2
1	1.2
2.4	2.6
2.4	1.2
2.3	2.3
2	1.6
3.3	3.8
1.9	1.6
1.8	1.5
2.8	1.8
2.5	1.5
0.8	1
1.3	1.2
3.7	1.4
2.4	1.6
4.1	3.2
2.4	1.2
2.3	2.3
3.1	1.6
1.5	1.4
3.6	2.1
2.5	1.7
2.1	1.7
1.8	1.2
1.5	1.3
2.5	1.1
1.5	1.2
1.5	1.1
1.6	1.2
1.4	1.4
4	2.3
2	1.2
2.5	1.5
3.1	2.4
1.7	1.8
1.8	1.6
1.9	1.7
5.3	4.2
1.6	1.6
1.6	1.4
3.3	3.3
1.5	1.5
2.2	2.8
1.1	1.6
2.6	2.6
6.4	5
1.5	1.4
3	2.8
2.6	2.3
1.2	1.2
2.1	1.9
1.1	1.1
1	1
1.4	1.5
1.7	1.3
1.2	1.1
2.5	2.4
1.2	1.3
2.5	2.9
1.9	1.7
1.8	1.7
1.2	1.1
1.3	1.1

Y	X
1.8	1.6
1.6	1.9
2.5	2.8
1.9	2.4
1.3	1.5
2.3	1.8
1.2	1.3
2.3	2.4
2	2.1
1.5	1.5
2.1	2.4
1.5	1.5
1.5	1.7
1.8	2.1
1	1.2
2.1	1.9
1.6	1.6
1.7	1.6
2	1.9
1.8	1.6
1.3	4.1
1.5	1.9
3.6	2.1
2.4	2.2
2.2	2.3
2.7	2.2
2.9	3.1
2	2.2
1	1.2
2.4	2.6
2.4	1.2
2.3	2.3
2	1.6
3.3	3.8
1.9	1.6
1.8	1.5
2.8	1.8
2.5	1.5
0.8	1
1.3	1.2
3.7	1.4
2.4	1.6
4.1	3.2
2.4	1.2
2.3	2.3
3.1	1.6
1.5	1.4
3.6	2.1
2.5	1.7
2.1	1.7
1.8	1.2
1.5	1.3
2.5	1.1
1.5	1.2
1.5	1.1
1.6	1.2
1.4	1.4
4	2.3
2	1.2
2.5	1.5
3.1	2.4
1.7	1.8
1.8	1.6
1.9	1.7
5.3	4.2
1.6	1.6
1.6	1.4
3.3	3.3
1.5	1.5
2.2	2.8
1.1	1.6
2.6	2.6
6.4	5
1.5	1.4
3	2.8
2.6	2.3
1.2	1.2
2.1	1.9
1.1	1.1
1	1
1.4	1.5
1.7	1.3
1.2	1.1
2.5	2.4
1.2	1.3
2.5	2.9
1.9	1.7
1.8	1.7
1.2	1.1
1.3	1.1