Question: Question 2

In linear regression, generally a number of assumptions are made regarding the nature of the data.

a) i) Briefly explain the difference between the dependent variable and the independent variable.

ii) List the four major assumptions made when fitting a linear regression by least squares.

b) i) The following data concerns the average saturated fat (in g) consumed per day and the cholesterol level (in mg per 100m1) for 12 men.

Fit a linear regression to these data, explaining which variable you lave chosen

as the independent variable and why. (

ii) Is your model a close fit to these data? (2 marks)

iii) Interpret the values of the parameter estimates in your fitted linear regression model.

iv) Carry out an appropriate analysis to check whether the assumptions you listed

in a) ii) have been met. Explain your conclusions.

v) Is a linear regression model appropriate for these data? Explain.