The bond behavior of inforcing bars is an important determina strength and stability. The article "Experimental Study on the Bond Behavior of Reinforcing Bars Embedded in Concrete Subjected to Lateral Pressure"+ reported the results of one experiment in which varying levels of lateral pressure were applied to 21 concrete cube specimens, each with an embedded 16 mm plain steel round bar, and the corresponding bond capacity was determined. Due to differing concrete cube strengths (fcur in MPa), the applied lateral pressure was equivalent to a fixed proportion of the specimen's fcu (0, 0.1fcu, 0.6f cu). Also, since bond strength can be heavily influenced by the specimen's fur bond capacity was expressed as the ratio of bond strength (MPa) to √ Pressure Ratio 0 0 0.1 0 0.123 0.100 0.101 0.172 Ratio Pressure 0.4 0.4 0.5 0.5 0.5 0.6 0.6 0.6 0.365 0.239 0.365 0.319 0.312 0.394 0.386 0.320 (a) Does a scatterplot of the data support the use of the simple linear regression model? OA scatterplot of the data shows a reasonably strong, positive, linear relationship between pressure and the bond capacity ratio and supports the use of a simple linear regression model. 0.1 0.1 0.133 A scatterplot of the data shows a weak, negative, linear relationship between pressure and the bond capacity ratio and supports the use of a simple linear regression model. A scatterplot of the data shows a reasonably strong, negative, linear relationship between pressure and the bond capacity ratio and supports the use of a simple linear regression model. Predictor Constant Pressure S = 0.0332397 A scatterplot of the data shows a weak, positive, linear relationship between pressure and the bond capacity ratio and does not support the use of a simple linear regression model. A scatterplot of the data shows a reasonably strong, negative, linear relationship between pressure and the bond capacity ratio and does not support the use of a simple linear regression model. (b) use the accompanying Minitab output to give point estimates of the slope and intercept of the population regression line. (Enter your answers to five decimal places.) The regression equation is Ratio = 0.101 + 0.461 Pressure T SE Coef 0.01308 0.03627 Analysis of Variance Source Regression Residual Error Total Coef 0.10121 0.46071 R-Sq= 89.5% 0.107 DF 0.3 0.3 0.3 0.4 0.2 0.2 0.2 0.217 0.172 0.151 0.263 0.227 0.252 0.310 1 19 20 SS 0.17830 0.02099 0.19929 7.74 12.70 R-Sq (adj) = 88.9% MS 0.17830 0.00110 F 161.37 P 0.000 0.000 P 0.000

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The bond behavior of reinforcing bars is an important determinant of strength and stability. The article "Experimental Study on the Bond Behavior of Reinforcing Bars Embedded in Concrete
Subjected to Lateral Pressure" reported the results of one experiment in which varying levels of lateral pressure were applied to 21 concrete cube specimens, each with an embedded 16 mm plain
steel round bar, and the corresponding bond capacity was determined. Due to differing concrete cube strengths (fcur in MPa), the applied lateral pressure was equivalent to a fixed proportion of the
specimen's fcu (0, 0.1f cu..., 0.6fcu). Also, since bond strength can be heavily influenced by the specimen's fcur bond capacity was expressed as the ratio of bond strength (MPa) to √Fu
Pressure
Ratio
0.1 0.1
0.2 0.2 0.2 0.3
0.3
0.3
0.4
0
0.123 0.100 0.101 0.172 0.133 0.107 0.217 0.172 0.151 0.263 0.227 0.252 0.310
Ratio
0
Pressure 0.4
0
0.4 0.5 0.5
0.365 0.239 0.365 0.319
0.1
(a) Does a scatterplot of the data support the use of the simple linear regression model?
A scatterplot of the data shows a reasonably strong, positive, linear relationship between pressure and the bond capacity ratio and supports the use of a simple linear regression
model.
0.5 0.6 0.6 0.6
0.312 0.394 0.386 0.320
A scatterplot of the data shows a weak, negative, linear relationship between pressure and the bond capacity ratio and supports the use of a simple linear regression model.
OA scatterplot of the data shows a reasonably strong, negative, linear relationship between pressure and the bond capacity ratio and supports the use of a simple linear regression
model.
A scatterplot of the data shows a weak, positive, linear relationship between pressure and the bond capacity ratio and does not support the use of a simple linear regression model.
A scatterplot of the data shows a reasonably strong, negative, linear relationship between pressure and the bond capacity ratio and does not support the use of a simple linear
regression model.
Predictor
Constant
Pressure
S = 0.0332397
(b) use the accompanying Minitab output to give point estimates of the slope and intercept of the population regression line. (Enter your answers to five decimal places.)
The regression equation is Ratio = 0.101 + 0.461
Pressure
SE Coef
0.01308
0.03627
T
7.74
12.70
R-Sq (adj) = 88.9%
Analysis of Variance
Source
Regression
Residual Error
Total
Coef
0.10121
0.46071
R-Sq= 89.5%
SS
DF
1
0.17830
19 0.02099
0.19929
20
MS
0.17830
0.00110
F
161.37
P
0.000
0.000
P
0.000
Transcribed Image Text:The bond behavior of reinforcing bars is an important determinant of strength and stability. The article "Experimental Study on the Bond Behavior of Reinforcing Bars Embedded in Concrete Subjected to Lateral Pressure" reported the results of one experiment in which varying levels of lateral pressure were applied to 21 concrete cube specimens, each with an embedded 16 mm plain steel round bar, and the corresponding bond capacity was determined. Due to differing concrete cube strengths (fcur in MPa), the applied lateral pressure was equivalent to a fixed proportion of the specimen's fcu (0, 0.1f cu..., 0.6fcu). Also, since bond strength can be heavily influenced by the specimen's fcur bond capacity was expressed as the ratio of bond strength (MPa) to √Fu Pressure Ratio 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.3 0.4 0 0.123 0.100 0.101 0.172 0.133 0.107 0.217 0.172 0.151 0.263 0.227 0.252 0.310 Ratio 0 Pressure 0.4 0 0.4 0.5 0.5 0.365 0.239 0.365 0.319 0.1 (a) Does a scatterplot of the data support the use of the simple linear regression model? A scatterplot of the data shows a reasonably strong, positive, linear relationship between pressure and the bond capacity ratio and supports the use of a simple linear regression model. 0.5 0.6 0.6 0.6 0.312 0.394 0.386 0.320 A scatterplot of the data shows a weak, negative, linear relationship between pressure and the bond capacity ratio and supports the use of a simple linear regression model. OA scatterplot of the data shows a reasonably strong, negative, linear relationship between pressure and the bond capacity ratio and supports the use of a simple linear regression model. A scatterplot of the data shows a weak, positive, linear relationship between pressure and the bond capacity ratio and does not support the use of a simple linear regression model. A scatterplot of the data shows a reasonably strong, negative, linear relationship between pressure and the bond capacity ratio and does not support the use of a simple linear regression model. Predictor Constant Pressure S = 0.0332397 (b) use the accompanying Minitab output to give point estimates of the slope and intercept of the population regression line. (Enter your answers to five decimal places.) The regression equation is Ratio = 0.101 + 0.461 Pressure SE Coef 0.01308 0.03627 T 7.74 12.70 R-Sq (adj) = 88.9% Analysis of Variance Source Regression Residual Error Total Coef 0.10121 0.46071 R-Sq= 89.5% SS DF 1 0.17830 19 0.02099 0.19929 20 MS 0.17830 0.00110 F 161.37 P 0.000 0.000 P 0.000
Analysis of Variance
Source
Regression
Residual Error
Total
slope
intercept
DF
1
19
20
SS
0.17830
0.02099
0.19929
Need Help?
MS
Submit Answer
0.17830
0.00110
Read It
F
161.37
(e) What is the value of total variation? (Enter your answer to five decimal places.)
0.19929
(c) Calculate a point estimate of the true average bond capacity when lateral pressure is 0.44fu (Round your answer to four decimal places.)
(d) What is a point estimate of the error standard deviation o? (Enter your answer to seven decimal places.)
P
0.000
How would you interpret the point estimate of the error standard deviation ?
This represents the typical difference between the lateral pressure applied to a bar and the ratio predicted by the least squares regression line.
This represents the typical difference between the lateral pressure applied to a bar and the lateral pressure predicted by the least squares regression line.
This represents the ratio predicted by the least squares regression line for a value of 1.
O This represents the typical difference between a concrete specimen's actual bond capacity ratio and the ratio predicted by the least squares regression line.
This represents the typical difference between a concrete specimen's actual bond capacity ratio and the lateral pressure predicted by the least squares regression
line.
What percentage of it can be explained by the model relationship? (Enter your answer to one decimal place.)
%
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Transcribed Image Text:Analysis of Variance Source Regression Residual Error Total slope intercept DF 1 19 20 SS 0.17830 0.02099 0.19929 Need Help? MS Submit Answer 0.17830 0.00110 Read It F 161.37 (e) What is the value of total variation? (Enter your answer to five decimal places.) 0.19929 (c) Calculate a point estimate of the true average bond capacity when lateral pressure is 0.44fu (Round your answer to four decimal places.) (d) What is a point estimate of the error standard deviation o? (Enter your answer to seven decimal places.) P 0.000 How would you interpret the point estimate of the error standard deviation ? This represents the typical difference between the lateral pressure applied to a bar and the ratio predicted by the least squares regression line. This represents the typical difference between the lateral pressure applied to a bar and the lateral pressure predicted by the least squares regression line. This represents the ratio predicted by the least squares regression line for a value of 1. O This represents the typical difference between a concrete specimen's actual bond capacity ratio and the ratio predicted by the least squares regression line. This represents the typical difference between a concrete specimen's actual bond capacity ratio and the lateral pressure predicted by the least squares regression line. What percentage of it can be explained by the model relationship? (Enter your answer to one decimal place.) % B Bels Travel | The Ultimate Travel Essential MacBook Air
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