The following data, adapted from Montgomery, Peck, and Vining (2001), present the number of certified mental defectives per 10,000 of estimated population in the United Kingdom (y) and the number of radio receiver licenses issued (x) by the BBC (in millions) for the years 1924 through 1937.
Year y x 1924 8 1.35 1925 8 1.96 1926 9 2.27 1927 10 2.483 1928 11 2.73 1929 11 3.093 1930 12 3.678 1931 16 4.62 1932 18 5.497 1933 19 6.26 1934 20 7.013 1935 21 7.621 1936 22 8.132 1937 23 8.593 (a) Fit a simple linear regression model to these data. Round your answers to 3 decimal places. Bo = (b) Does the existence of a strong correlation imply a cause-and-effect relationship?