June 2008 exam – question 3

Consider the following five data points:

Y	-1	1	1	2.5	3.5
X	-1	0	1	2	3

Use regression analysis to calculate manually the estimated coefficients of equation Y = a + bX. [14 marks]
What is the predicted value of Y for X = 1.0 ? [3 marks]
What is the predicted value of Y for X = 3.5 ? [3 marks]

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