03. In a certain type of metal test specimen, the normal stress on a specimen is Kded to be functionally related to the shear resistance. The following is a set of coded experimental data on the two variables: belom Normal Stress, x Shear Resistance, variable y variable 26.8 26.5 25.4 27.3 28.9 24.2 23.6 27.1 27.7 23.6 23.9 25.9 24.7 26.3 Insla le 28.1 22.5 26.9 21.7 27.4 21.4 22.6 25.8 25.6 24.9 a) Find the Sample correlation coefficient for this data set and analyze your response? Attach your Excel and Minitab file for calculation of r

MATLAB: An Introduction with Applications
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b) Find the parameters of Estimated Linear Regression Model (Estimate the regression line)? Attach your Excel and Minitab file for calculation of Linear regression model.

c) Find the parameters of Estimated Quadratic and Cubic Regression Models? Attach your Minitab file.

d) Estimate the shear resistance for a normal stress of 24.5 using Cubic Regression.
Transcribed Image Text:b) Find the parameters of Estimated Linear Regression Model (Estimate the regression line)? Attach your Excel and Minitab file for calculation of Linear regression model. c) Find the parameters of Estimated Quadratic and Cubic Regression Models? Attach your Minitab file. d) Estimate the shear resistance for a normal stress of 24.5 using Cubic Regression.
In a certain type of metal test specimen, the normal stress on a specimen is known to be functionally related to the shear resistance. The following is a set of coded experimental data on the two variables:

| Normal Stress, x variable | Shear Resistance, y variable |
|---------------------------|------------------------------|
| 26.8                      | 26.5                         |
| 25.4                      | 27.3                         |
| 28.9                      | 24.2                         |
| 23.6                      | 27.1                         |
| 27.7                      | 23.6                         |
| 23.9                      | 25.9                         |
| 24.7                      | 26.3                         |
| 28.1                      | 22.5                         |
| 26.9                      | 21.7                         |
| 27.4                      | 21.4                         |
| 22.6                      | 25.8                         |
| 25.6                      | 24.9                         |

a) Find the sample correlation coefficient for this data set and analyze your response. Attach your Excel and Minitab file for the calculation of it.
Transcribed Image Text:In a certain type of metal test specimen, the normal stress on a specimen is known to be functionally related to the shear resistance. The following is a set of coded experimental data on the two variables: | Normal Stress, x variable | Shear Resistance, y variable | |---------------------------|------------------------------| | 26.8 | 26.5 | | 25.4 | 27.3 | | 28.9 | 24.2 | | 23.6 | 27.1 | | 27.7 | 23.6 | | 23.9 | 25.9 | | 24.7 | 26.3 | | 28.1 | 22.5 | | 26.9 | 21.7 | | 27.4 | 21.4 | | 22.6 | 25.8 | | 25.6 | 24.9 | a) Find the sample correlation coefficient for this data set and analyze your response. Attach your Excel and Minitab file for the calculation of it.
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