Question: Consider the data set below. Excel File: data12-33.xls X1= 3,12,6,20,14 Y1= 55,40,55,10,15 The estimated regression equation is= 30.33 - 1.88 x . Estimate the standard

Consider the data set below.

Excel File:data12-33.xls

X1= 3,12,6,20,14

Y1= 55,40,55,10,15

The estimated regression equation is= 30.33 - 1.88x.

  1. Estimate the standard deviation ofpwhenx= 3 (to 3 decimals).
  2. Develop a 95% confidence interval for the expected value ofywhenx= 3 (to 2 decimals).
  3. (,)
  4. Estimate the standard deviation of an individual value ofywhenx= 3 (to 2 decimals).
  5. Develop a 95% prediction interval forywhenx= 3 (to 2 decimals).
  6. (,)

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