The accompanying summary quantities resulted from a study in which X was the num
ID: 3226881 • 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). 16 y (y 2- 22,218.03 y (y g) 2609.51 (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.) What is the number of degrees of freedom associated with this estimate?Explanation / Answer
A)
n=16
E1=22,218.03
E2=2609.51
r2=1-(E2summation2/E1summation1)
=1-(2609.51/22,218.03)
=0.88254
approximately 88.254% variation in total service can be explained by linear probabilistic relation between total service time and machines served.
b)
Se^2=(E2=summation 2/n-2)
=2609.51/14
=186.3935714
se=13.6526031
c) degree of freedom =n-2=16-2=14
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