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I need help solving this question please PROBLEM 4 (15 points): Doctors are interested in the relationship between the dosage of medicine and the time

I need help solving this question please

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PROBLEM 4 (15 points): Doctors are interested in the relationship between the dosage of medicine and the time required for a patient's recovery. The following table shows, for a sample of five patients, dosage levels (grams) and recovery times (in hours). These patients have similar characteristics except for medicine dosages. Dosage Level: 1.2 1.0 1.5 1.2 1.4 Recovery Time: 25 40 10 27 16 (a) Plot these data. (b) Estimate the linear regression of recovery time on the dosage level and draw the regression line on the scatter diagram drawn in part (a) [You can draw it by hand]. (c) Calculate the sample correlation between Dosage level and recovery time and interpret it. (d) Calculate the residual and predicted value for each observation and plot residuals against the predicted value. (e) Does the error term have a constant variance? (f) Are the residuals normally distributed? Are there any outliers in the residuals? Explain Would you sample regression derived in part (b) be useful in predicting recovery time for a patient given 2.5 grams of this drug? Explain

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