The accompanying summary quantities resulted from a study in which x was the num
ID: 3228080 • Letter: T
Question
The accompanying summary quantities resulted from a study in which x was the number of photocopy machines serviced during a routine service call and y was the total service time (min).
(a) What proportion of observed variation in total service time can be explained by a linear probabilistic relationship between total service time and the number of machines serviced? (Give the answer to three decimal places.)
(b) Calculate the value of the estimated standard deviation se. (Give the answer to three decimal places.)
se =
What is the number of degrees of freedom associated with this estimate?
Explanation / Answer
% of variance that can be explained = Regression sum of squares/ Total sum of square = 22228.04/[22228.04+2609.53] = 0.8949 = 89.49%
Standard deviation,se = Sqrt( Regression sum of squares / n] = sqrt(22228.04/14)= 39.846
No. of degrees of freedom = n-1=14-1=13
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