Representative data on x = carbonation depth (in millimeters) and y = strength (in mega pascals) for a sample of concrete core specimens taken from a particular building. 20 20 Strength, y 22.8 17.1 21.1 16.1 50 55 12.4 11.4 9.7 Depth, x 30 35 40 65 13.4 6.8 o Construct a scatterplot. Does the relationship between carbonation depth and strength appear to be linear? o Find the equation of the least-square line. o What would you predict for strength when carbonation depth is 25 mm? o Explain why it would not be reasonable to use the least-square line to predict strength when carbonation depth is 100 mm.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section20.10: Exponential Queues In Series And Open Queuing Networks
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Representative data on x = carbonation depth (in millimeters)
and y = strength (in mega pascals) for a sample of concrete core
specimens taken from a particular building.
8 20 20
Strength, y 22.8 17.1 21.1 16.1 13.4 12.4
50 55
11.4 9.7
Depth, x
30
35
40
65
6.8
o Construct a scatterplot. Does the relationship between
carbonation depth and strength appear to be linear?
o Find the equation of the least-square line.
o What would you predict for strength when carbonation depth is
25 mm?
o Explain why it would not be reasonable to use the least-square
line to predict strength when carbonation depth is 100 mm.
Transcribed Image Text:Representative data on x = carbonation depth (in millimeters) and y = strength (in mega pascals) for a sample of concrete core specimens taken from a particular building. 8 20 20 Strength, y 22.8 17.1 21.1 16.1 13.4 12.4 50 55 11.4 9.7 Depth, x 30 35 40 65 6.8 o Construct a scatterplot. Does the relationship between carbonation depth and strength appear to be linear? o Find the equation of the least-square line. o What would you predict for strength when carbonation depth is 25 mm? o Explain why it would not be reasonable to use the least-square line to predict strength when carbonation depth is 100 mm.
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