In: Statistics and Probability
The relationship between the amount of remaining carbon monoxide (CO) in an individual’s lungs and the time since that person last smoked a cigarette can be summarized using a linear regression approach.
(a) Write down a simple linear regression model and the underlying assumptions. The following summary data was collected from 12 different smokers. x = time since last smoked a cigarette (hours) y = amount of CO in ppm n=12, x=1.88 sxx =25.8, syy =1805 SSE=877.4 Fitted regression line: ?̂ = ??. ?? − ?. ??? ?
(b) State the values of ? and ? from the fitted regression equation. Not that ? and ? are the estimates of intercept parameter ? and slope parameter ? respectively.
(c) What is the estimated change in the remaining CO in the lungs if the time since last smoked is increased by 1 hour?
(d) State the hypotheses to test the significance of the linear regression.
(e) Compute MSE.