In New Jersey, banks have been charged with withdrawing from counties having a high percentage of minorities. To substantiate this charge, data is presented in the table below concerning the percentage, x, of minority population and the number of county residents, y, per bank in each of New Jersey's 21 counties.

                                           Percentage         Number of

                                           Of Minority        Residents Per

               County              Population, x      Bank Branch, y

              Atlantic                     23.3                     3,073

              Bergen                     13.0                     2.095

              Burlington                17.8                     2,905

              Camden                   23.4                     3,330

              Cape May                  7.3                     1,321

              Cumberland            26.5                     2,557

              Essex                       48.8                     3,474

              Gloucester               10.7                     3,068

              Hudson                    33.2                     3,683

              Hunterdon                 3.7                     1,998

              Mercer                      24.9                     2,607

              Middlesex                18.1                     3,154

              Monmouth               12.6                     2,609

              Morris                         8.2                     2,253

              Ocean                        4.7                     2,317

              Passaic                    28.1                     3,307

              Salem                       16.7                     2,511

              Somerset                 12.0                     2,333

              Sussex                       2.4                     2,568

              Union                       25.6                     3,048

              Warren                       2.8                     2,349

a) Perform a simple linear regression analysis of this data.

b) Determine if there is a significant relationship between x and y.