The time to failure of a machine component is related to the operating voltage (x 1 ),

The time to failure of a machine component is related to the operating voltage (x 1 ),

(x₁), the motor speed in revolutions per minute (x₂), and the operating temperature (x₃).

A designed experiment is run in the research and development laboratory, and the following data, where y is the time to failure in minutes, are obtained.

	x1	x2	x3
2,145	110	750	140
2,155	110	850	180
2,220	110	1,000	140
2,225	110	1,100	180
2,260	120	750	140
2,266	120	850	180
2,334	120	1,000	140
2,340	130	1,000	180
2,212	115	840	150
2,180	115	880	150

(a) Fit a multiple regression model to these data.

(b) Estimate the error variance.

(c) Determine a 95 percent confidence interval for the mean time to failure

when the operating voltage is 125, the motor speed is 900, and the operating temperature is 160.

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