The relationship between the amount of remaining carbon monoxide(CO) in an individual’s lungs and the time since that person lastsmoked a cigarette can be summarized using a linear regressionapproach.
Write down a simple linear regression model and the underlyingassumptions. The following summary data was collected from 12different smokers.
x = time since last smoked a cigarette (hours) y = amount of COin ppm
n=12, x=1.88 sxx =25.8, syy =1805 SSE=877.4 Fitted regressionline: ?̂ = ??. ?? − ?. ??? ?
(k) What is the residual at ?0 = 2.25 if the correspondingobserved amount CO is
28ppm
(l) Estimate the mean amount of CO in the lungs for an elapsedtime of 2.25 hours.
(m) Construct a 95% confidence interval for the true mean amountof CO in the lungs
for an elapsed time of 2.25 hours.
Please show all work.
