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. Fit a regression model relating y and x. Comment on the model. Specifically, does the existence of a strong correlation imply a cause-and-effect relationship?

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Year Year 1.350 1931 1924 16 4.620 1925 1.960 1932 18 5.497 1926 2.270 1933 19 6.260 9. 1927 1934 10 2.483 20 7.012 1928 2.730 1935 21 7.618 11 1929 11 3.091 1936 22 8.131 23 1930 12 3.674 1937 8.593