Chapter 11 Exercise 1 An article in an Environmental Engineering journal reported the results of a study on the occurrence of sodium and chloride on the surface of streams in Rhode Island. The following data presents the chloride concentration designated as y (in milligrams per liter) and the filming area in the basin as x (in percent). y 4.4 6.6 9.7 10.6 10.8 10.9 x 0.19 0.15 0.57 0.9 0.67 0.63 y 11.8 12.1 14.3 14.3 15 17.3 x 0.47 0.7 0.6 0.78 0.81 0.78 y 19.2 23.1 25.2 27.7 31.8 39.5 x 0.69 1.5 1.05 1.06 1.74 1.62 Fit the simple linear regression using the least squares method. Start by looking for the following values: X= Y= X^2 = XY= The values for S_xx and S_xy are: S_xx= S_xy= The values for _(1 ) and _0 are: _(1 )= _0= Establish in the given space the equation of the model with the computed values. Form of the equation:Y = _0+ _1 x Equation for the computed values. Find the estimate for ^2. To look for the estimate of 2 first find the value of SSE. SS_E = (y_i- y _i ) 2 = ^2 = SS_E/(n-2) = Estimate the average chloride concentration for the watershed that has 1% filming area