A study on the occurrence of line faults in an electricity supply network was carried out over a two-year period.  Data was collected from six regions on the number of faults per year in each of the two years, and gave the results shown in the table below.

(a)   Region	(b)   Year	Line length (miles)	# of Faults.
Midlands	2008	15.6	15
Midlands	2009	15.6	18
North	2008	23.66	22
North	2009	23.66	16
South	2008	26.40	23
South	2009	26.40	18
East	2008	33.58	18
East	2009	33.58	28
West	2008	47.30	33
West	2009	47.30	27
Coast	2008	50.64	30
Coast	2009	50.64	27

(a)   Does the data indicate that the number of faults per mile has changed from year 2008 to year 2009?

(b)Draw the graph relating Number of Faults to Line length.

(c) Does the data support the suggestion that the two variables (# Faults and Line length) are related?  If so, find the relationship between them and state the probable limits of the Regression Coefficient with 95% confidence.

(d) Test the hypothesis that the graph should pass through the origin (i.e. a = 0).  Explain what this means in practical terms.

Posted Date: 2/25/2013 8:02:32 AM | Location : United States

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