Concrete expands both horizontally and vertically over time. The article "Evaluation of the Expansion Attained to Date by Concrete Affected by Alkali-Silica Reaction. Part III: Application to Existing Structures" (M. Bérubé, N. Smaoui, et al, Canadian Journal of Civil Engineering, 2005:463-479), reports measurements of horizontal and vertical expansion (in umits of parts per hundred thousand) made at several locations on a bridge in Quebec City in Canada. The results are presented in the following table. Horizontal Vertical 43 55 80 18 58 24 68 32 57 10 69 21 63 Construct a scatterplot of veitical expansion (y) versus horizontal expansion (x). Verify that a linear model is appropriate. Compute the least-squares line for predicting vertical expansion (y) from horizontal expansion (x). Compute the fitted value and residual for each point. If the horizontal expansion increases by 10 parts per hundred thousand, by how much would you predict the vertical expansion to increase or decrease? e. Predict the vertical expansion for a location where the horizontal expansion is 30 parts per hundred thousand. Can the least-squares line be used to predict the vertical expansion in a location where the horizontal expansion is 60 parts per hundred thousand? If so, predict the expansion. If not, explain why not. g. For what horizontal expansion would you predict a vertical expansion of 65 parts per hundred thousand? b. d. f.
Concrete expands both horizontally and vertically over time. The article "Evaluation of the Expansion Attained to Date by Concrete Affected by Alkali-Silica Reaction. Part III: Application to Existing Structures" (M. Bérubé, N. Smaoui, et al, Canadian Journal of Civil Engineering, 2005:463-479), reports measurements of horizontal and vertical expansion (in umits of parts per hundred thousand) made at several locations on a bridge in Quebec City in Canada. The results are presented in the following table. Horizontal Vertical 43 55 80 18 58 24 68 32 57 10 69 21 63 Construct a scatterplot of veitical expansion (y) versus horizontal expansion (x). Verify that a linear model is appropriate. Compute the least-squares line for predicting vertical expansion (y) from horizontal expansion (x). Compute the fitted value and residual for each point. If the horizontal expansion increases by 10 parts per hundred thousand, by how much would you predict the vertical expansion to increase or decrease? e. Predict the vertical expansion for a location where the horizontal expansion is 30 parts per hundred thousand. Can the least-squares line be used to predict the vertical expansion in a location where the horizontal expansion is 60 parts per hundred thousand? If so, predict the expansion. If not, explain why not. g. For what horizontal expansion would you predict a vertical expansion of 65 parts per hundred thousand? b. d. f.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Concrete expands both horizontally and vertically over time. The article "Evaluation of the
Expansion Attained to Date by Concrete Affected by Alkali-Silica Reaction. Part III:
Application to Existing Structures" (M. Bérubé, N. Smaoui, et al, Canadian Journal of
Civil Engineering, 2005:463-479), reports measurements of horizontal and vertical
expansion (in umits of parts per hundred thousand) made at several locations on a bridge in
Quebec City in Canada. The results are presented in the following table.
Horizontal
Vertical
43
55
80
18
58
24
68
32
57
10
69
21
63
Construct a scatterplot of veitical expansion (y) versus horizontal expansion (x). Verify
that a linear model is appropriate.
Compute the least-squares line for predicting vertical expansion (y) from horizontal
expansion (x).
Compute the fitted value and residual for each point.
If the horizontal expansion increases by 10 parts per hundred thousand, by how much
would you predict the vertical expansion to increase or decrease?
e. Predict the vertical expansion for a location where the horizontal expansion is 30 parts
per hundred thousand.
Can the least-squares line be used to predict the vertical expansion in a location where
the horizontal expansion is 60 parts per hundred thousand? If so, predict the expansion.
If not, explain why not.
g. For what horizontal expansion would you predict a vertical expansion of 65 parts per
hundred thousand?
b.
d.
f.
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