Use this data to answer the following question. 9.3.5 drug often prescribed to t

Question

Use this data to answer the following question.
9.3.5 drug often prescribed to treat The purpose of a study by Parker et al.(A-4) was to examine the interactions of common grapefruit In one experiment, subjects took digoxin with water for 2 weeks tollowed period during which digoxin was withheld. During the next 2 weeks subie digoxin with grapefruit juice. For seven subjects, the average peak plasma digoxin concentration (Cmax) water is given in the first column of the following when taking table. The second column contains the percent change concentration when in Cmax subjects were taking the digoxin with grapefruit when juice taking digoxin with water to predict the percent change in Cmax concentration when taking digoxin with grapefruit juice. Cmax (ngl/ml) with Water Change in Cmax with GFJ 29.5 2.34 40.7 2.46 5.3 1.87 23.3 3.09 45.1 5.59 35.3 4.05 44.6 6.21 29.5 2.34 Source: Data provided courtesy of Robert B. Parker, Pharm.D.

Explanation / Answer

We run a simple linear regression model to solve this using MS EXCEL Data Analysis -Regression add in as follows:

Following are point wise answers:

a) coeff of determination= R-sq = 0.756

b) ANOVA table mentioned above F-stat p-value = 0.004<0.05

reject H0 and conclude regression is significant.

c) table is above, p-value for t-stat= 0.004 <0.05

reject H0 and conclude beta1 or variable is significant.

d & e) cocluded above

SUMMARY OUTPUT Regression Statistics Multiple R 0.876682 R Square 0.768572 Adjusted R Square 0.73 Standard Error 18.87433 Observations 8 ANOVA df SS MS F Significance F Regression 1 7098.427 7098.427 19.92595 0.004265 Residual 6 2137.442 356.2403 Total 7 9235.869 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 68.64231 16.67814 4.115705 0.006246 27.83237 109.4523 27.83237 109.4523 Cmax_with_Water -19.5291 4.374947 -4.46385 0.004265 -30.2342 -8.824 -30.2342 -8.824 RESIDUAL OUTPUT Observation Predicted Cmax_with_GFJ Residuals 1 22.94421 6.555794 2 20.60071 20.09929 3 32.12289 -26.8229 4 8.297376 15.00262 5 -40.5254 -4.57461 6 -10.4506 -24.8494 7 -52.6334 8.033433 8 22.94421 6.555794

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