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# Regression analysis on half life

The half-life of aminoglycosides was measured on 43 patients given either Amikacin or Gentamicin. The data are reproduced in different form in Table 7.21.

(A) Perform a regression to estimate HALF-LIFE using DO_MG_KG for each type of drug separately. Do the drugs seem to have parallel regression lines?

(B) Perform the appropriate inferences on both lines to determine whether the relationship between half-life and dosage is significant. Use &#61537;&#61472;=0.05. Completely explain your results.

(C) Draw a scatter diagram of HALF-LIFE verses DO_MG_KG indexed by type of drug (use A's and G's). Draw the regression lines obtained in part (A) on the same graph.

Table 7.21 Half-Life of Aminoglycosides: by dosage and drug type

Drug = Amikacin Drug = Gentamicin
Half-Life DO_MG_KG Half-Life DO_MG_KG
2.5 7.9 1.6 2.1
2.2 8 1.9 2
1.6 8.3 2.3 1.6
1.3 8.1 2.5 1.9
1.2 8.6 1.8 2
1.6 7.6 1.7 2.86
2.2 6.5 2.86 2.89
2.2 7.6 2.89 2.96
2.6 10 1.98 2.86
1 9.88 1.93 2.86
1.5 10 1.8 2.86
3.15 10.29 1.7 3
1.44 9.76 1.6 3
1.26 9.69 2.2 2.86
1.98 10 2.2 2.86
1.98 10 2.4 3
1.87 9.87 1.7 2.86
2.31 10 2 2.86
1.4 10 1.4 2.82
2.48 10.5 1.9 2.93
2.8 10 2 2.95
0.69 10

#### Solution Summary

Step by step method for regression analysis is discussed here. Regression coefficients, coefficient of determination, scatter diagram and significance of regression model are explained in the solution.

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