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Ihe I-ramingham study was planned as a 2Uyear cohort study or adult health in I-ramingham, Massachusetts, USA, commencing in 1948. A total of 1406 adults

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Ihe I-ramingham study was planned as a 2Uyear cohort study or adult health in I-ramingham, Massachusetts, USA, commencing in 1948. A total of 1406 adults aged 45 to 62 were selected from regional census data, using systematic sampling. Fourteen variables were recorded over the period of the study, and the data are available in the file Framingham.xfs. For the purposes of this question, you are investigating the relationship, if any, between the following variables: {a} {Cl ldl {El {fl AGE The person's age last birthday {i.e., whole years only) CHOL Cholesterol level in milligrams per decilitre {mgde} Obtain the following SPSS output, treating AGE as the explanatory variable: [i] scatter plot [3] (ii) standardised residual plot [2] (iii) distribution of residuals [3] (iv) regression analysis. [2, total = 10] What statistical model is assumed in the regression analysis? [2] As far as possible, assess the extent to which the model is appropriate to the data. [4] Using a suitable hypothesis test at a 5% significance level, evaluate the evidence that average Cholesterol levels are related to Age in the underlying population. if you find that there is a relationship, describe it. [5] Provide a 90% prediction interval for the cholesterol level that can be expected in a 52-year -old person from this region. [4] Briefly discuss whether a linear relationship with Age provides a useful basis for predicting Cholesterol levels in this region, for adults within the age range of the data. [2]

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