3. (9 points) For the past 12 months you have been the night manager of Dixie Fried Chicken. In order to evaluate your performance as a manager, your boss estimates the following linear trend equation for nighttime sales (Q) over the last 12 months (r = 1,.,.12): Q = a + bl where Q, is the number of pieces of chicken sold nightly. The results of the regression are as follows: a. b. c. DEPENDENT VARIABLE: QT OBSERVATIONS: 12 VARIABLE INTERCEPT T R-SQUARE 0.8991 PARAMETER ESTIMATE 175.0 16.0 F-RATIO 89.108 STANDARD ERROR d. Comment on the precision of these two forecasts. and 38.88 64 P-VALUE ON F 0.0001 T-RATIO 4.50 2.50 P-VALUE 0.0011 0.0314 I Evaluate the statistical significance of the estimated coefficients. Does this estimation indicate a significant trend, either upward or downward, in sales during your tenure as night manager? Perform an t-test for significance of the trend parameter at the 5 percent level of significance. If your boss uses the estimated linear trend to forecast your sales for months 14 and 16, how many units does he expect you to sell in these months