Do the following. 1. 2. 3. 4. Table 2 Cosmetic Sales Data for Exercise 3.12 t 1 2 3 4 Xt 5.00 5.06 5.12 5.10 5 5.35 6 5.57 7 5.61 8 5.80 9 6.04 yt 0.318 0.330 0.356 0.334 0.386 0.455 0.460 0.527 0.598 Xt 6.16 6.22 6.31 10 11 12 13 6.38 14 6.54 6.68 6.73 15 16 17 6.89 18 6.97 yt 0.650 0.655 0.713 0.724 0.775 0.78 0.796 0.859 0.88 Fit a simple linear regression model to these data. Plot the residuals against time. State whether there is any indication of autocorrelation based on the plot. Use the Durbin-Watson test to determine if there is positive autocorrelation in the errors.