In: Statistics and Probability
The following partial MINITAB regression output for the Fresh detergent data relates to predicting demand for future sales periods in which the price difference will be .10
| Predicted Values for New Observations | |||||
| New | Obs | Fit | SE Fit | 95% CI | 95% PI | 
| 1 | 8.4972 | .1734 | (8.1421, 8.8523) | (6.9576, 6.9576) | |
| 2 | 8.4425 | .134 | (8.1690, 8.7160) | (6.9197, 6.9197) | |
(a) Report a point estimate of and a 95 percent
confidence interval for the mean demand for Fresh in all sales
periods when the price difference is .10. (Round your
answers to 3 decimal places.)
| Point estimate = | 
| Confidence interval = [, ] | 
(b) Report a point prediction of and a 95 percent prediction interval for the actual demand for Fresh in an individual sales period when the price difference is .10. (Round your answers to 3 decimal places.)
| Point estimate = | 
| Confidence interval = [, ] | 
(c) Remembering that s = .731328 and that
the distance value equals (syˆ/s)2(sy^/s)2, use
syˆsy^· from the computer output to hand
calculate the distance value when x = .10. (Round
your answer to 4 decimal places.)
dv   =   
(d) For this case: n = 30,
b0 = 8.533642, b1 =
-.364499, and s = .731328. Using this information, and
your result from part (c), find 99 percent confidence and
prediction intervals for mean and individual demands when
x = .10. (Round your answers to 4 decimal
places.)
| 99% C.I.:[, ] | 
| 99% P.I.:[, ] |