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 8.6116 .1505 (8.3032, 8.9200) (7.1346, 10.0887) 2 8.4946 .129 (8.2308, 8.7583) (7.0262, 9.9629) (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 = .705179 and that the distance value equals (syˆ/s)2 , use syˆ · 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 = 8.689669, b1 = -.780466, and s = .705179. 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.:[ , ]