Potency of an Antibiotic An experimentwas conducted to

Chapter 12, Problem 61

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Potency of an Antibiotic An experimentwas conducted to observe the effect of anincrease in temperature on the potency of an antibiotic.Three 1-ounce portions of the antibiotic were storedfor equal lengths of time at each of these temperatures:30, 50, 70, and 90. The potency readings observedat each temperature of the experimental period arelisted here:Potency Readings, y 38, 43, 29 32, 26, 33 19, 27, 23 14, 19, 21Temperature, x 30 50 70 90Use an appropriate computer program to answer thesequestions:a. Find the least-squares line appropriate for these data.b. Plot the points and graph the line as a check onyour calculations.c. Construct the ANOVA table for linear regression.d. If they are available, examine the diagnostic plotsto check the validity of the regression assumptions. e. Estimate the change in potency for a 1-unitchange in temperature. Use a 95% confidenceinterval.f. Estimate the average potency corresponding toa temperature of 50. Use a 95% confidenceinterval.g. Suppose that a batch of the antibiotic was storedat 50 for the same length of time as the experimentalperiod. Predict the potency of the batch atthe end of the storage period. Use a 95% predictioninterval