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.