The following partial MINITAB regression output for the Fresh detergent data rel
ID: 3366923 • Letter: T
Question
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 8.3932 2 8.4007 1869 146 95% CI (8.0103, 8.7760) (8.1027, 8.6988) 95% PI (6.7169, 10.0694) (6.7418, 10.0596) (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- se from the computer output to hand calculate the distance value whenx 10 (c) Remembering that s # 796672 and that the distance value equals (Round your answer to 4 decimal places.) dv (d) For this case: n = 30, bo = 8.388086, b1-050644, and s = .796672. Using this information, and your result from part (c), find 99 percent confidence and prediction intervals for mean and individual demands when = .10. (Round your answers to 4 decimal places.) 99% C.1 99% PIExplanation / Answer
Solution:
a. Point estimate = 8.3932
Confidence interval = 8.010, 8.776
b. Point estimate = 8.393
Prediction interval = 6.717, 10.069
c. dv = (0.1869/0.799672)^2
dv= 0.0546
d. s?dist = 0.187
s = 0.7967
dist = (0.187/0.7967)^2
dist = 0.05509
99% confidence interval
8.3932 ± 2.763 (0.187) = 7.8765, 8.9099
99% prediction interval
8.3932 ± 2.763 (0.7967) ?1.05509
6.1321, 10.6543
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