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The bond behavior of reinforcing bars is an important determinant of strength and stability. The alticle Experimental Study on the Bond Behavior of Reinforcing Ears
The bond behavior of reinforcing bars is an important determinant of strength and stability. The alticle "Experimental Study on the Bond Behavior of Reinforcing Ears Embedded in Concrete Subjected to Lateral Pl'essure"' 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 [few in MPa), the applied lateral pressure was equivalent to a fixed proportion of the specimen's fw (D, 0.1FCU, . . ., 0.61:\"). Also, since bond strength can be heavily influenced by the specimen's fw, bond capacity was expressed as the ratio of bond strength (MPa} to {E Pressure 0 0 0 0.1 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.3 0.4 Ratio 0.100 0.101 0.123 0.133 0.117 0.172 0.217 0.172 0.151 0.263 0.252 0.335 0.310 Pressure 0.4 0.4 0.5 0.5 0.5 0.6 0.6 0.6 Ratio 0.366 0.339 0.365 0.419 0.333 0.399 0.386 0.322 (a) Does a scatterplot of the data support the use of the simple linear regression model? A scatterplot of the data shows a reasonany 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 reasonany strong, positive, 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, negative, linear relationship between pressure and the bond capacity ratio and suppolts 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 reasonany 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 regression line. (Enter your answers to four decimal places.) The regression equation is Ratio = 0.1055 + 0.5017 Pressure Predictor Coef SE Coef T P Constant 0 . 1055 0 . 0156 6.74 0. 000 Pressure 0 . 5017 0 . 0434 11 . 56 0. 000 S = 0. 0397695 R-Sq = 87.55% R-Sq (adj ) = 86.9$ slope intercept (c) Calculate a point estimate of the true average bond capacity when lateral pressure is 0.03f . ( Round your answer to four decimal places.) Would you feel comfortable using the least squares line to predict strength when pressure is 2.0? O No, this value is way beyond the range of the x values of the data values. O No, this value is way beyond the range of the y values of the data values. O Yes, this value is inside of the range of y values of the data values. O Yes, this value is inside of the range of x values of the data values.{cl} What is the correlation between the ratio and pressure? [Enter your answer to four decimal places.) : Will the correlation between the pressure and ratio change if we change the measurement units for both variables? ii} Yes, the correlation will change with the unit of pressure. '22} Yes, the correlation will change with the unit of ratio. '32} No, the correlation will stay the same. 'iij' Yes, Yes, the correlation will change with the unit of pressure and ratio. [e] What percentage of it can be explained by the model relationship? {Enter your answer to two clecimal places.)
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