(a) Calculate the least-squares estimate of the gradient of the regression line. Show all your calculations. [4 marks]
(b) Obtain the least-squares estimate of the intercept. [2 marks]
(c) Calculate SSR the sum of squares of the residuals. [5 marks]
(d) Obtain a 95% confidence interval for the “mean response” when x = 12, and then carry out a similar calculation for a 95% prediction interval. [6 marks]
Solution:
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