Time data:

o {b} Fit the regression model a, = 1M1(t) + 2M2(t) + - -- + 12M12(t) + wtl v noise where Mi (t) = 1 iftime t corresponds to the month 3' = 1, 2, . . . , 12 , and zero otherwise. [i = 1 represents January}. 0 (i) If the model is correct, determine if the average temperature increase or decrease from month to month? Determine this from January to December. 0 (ii) Graph the data, m , and superimpose the tted values, say :33; , on the graph. Examine the residuals. art 5:; , and state your conclusions, Does it appear that the model ts the data well (do the residuals look white)? Justify your