4. It is suggested that the relationship between r and y is the following approximate formula: y~ 1+x+12 The following n = 8 data values for r and y are observed (0, 1), (-1,0), (1, 0.7), (-1, 0.1), (2, 0.5), (-2, -0.3), (3, 0.3), (-3, -0.3). (i) Write a linear regression model to use LSE to estimate B. (ii) Find the distribution for B. (iii) For a given vlaue of r derive the 100(1 - ()% prediction interval for y