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The table below presents the data of two regression lines, each with 5 pairs of (x, Y) : Line 1 Line 2 X 2j Yzj O VUIWE 16 12 22 18 32 21 Let B, and B2 denote the slopes of Lines 1 and 2 respectively. Consider the null hypothesis Ho : B, = B2 against the alternative H, : B, # B2 . (a) Test Ho against H, to determine whether the two regression lines have equal slope by the Sen-Adichie statistic I at the 5% level of significance. [8] (b) If the test in part (a) accepts Ho, estimate the common slope B = B, = B2 based on combined 10 pairs of (x, Y) ; otherwise estimate B, and 2 separately, using the method related to the Theil test. [6] (c) Find exact confidence interval(s) for each slope estimated in part (b) with at least 90% confidence level. You may use R to find relevant values. [6]