An experiment was performed on a certain metal to determine if the strength is a function of heating time.Partial results based on a sample of 10 metal sheets are given below.The simple linear regression equation is = 1 + 1X .The time is in minutes and the strength is measured in pounds per square inch,MSE = 0.5, = 30, = 104. Determine the 95% prediction interval for the strength of a metal sheet when the average heating time is 4 minutes.The distance value has been found to be equal to 0.17143.
A)(3.235 6.765)
B)(3.370 6.629)
C)(3.155 6.845)
D)(2.235 5.765)

Question

An experiment was performed on a certain metal to determine if the strength is a function of heating time.Partial results based on a sample of 10 metal sheets are given below.The simple linear regression equation is  = 1 + 1X .The time is in minutes and the strength is measured in pounds per square inch,MSE = 0.5,  = 30,  = 104. Determine the 95% prediction interval for the strength of a metal sheet when the average heating time is 4 minutes.The distance value has been found to be equal to 0.17143.
A)(3.235 6.765) 
B)(3.370 6.629) 
C)(3.155 6.845) 
D)(2.235 5.765)

Quizplus · Accepted Answer

= 1 + 1(4)= 5Distance Value = (1/10)+ ((4 - 3)²/(104 - ((30)²/10)))= 0.17143t.025,8 = 2.3065 F1F1F1S1F1F1F10 (2.306)(.707)(F1F1F1S1F1F1F10(1 + 0.17143))F1F1F1S1F1F1F10 3.235 to 6.765

An Experiment Was Performed on a Certain Metal to Determine