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a. Create a regression model that includes all of the independent variables. b. Calculate the variance. c. Calculate the standard error of each parameter's estimate. In your opinion, how precise are the regression coefficients estimated?

a. Create a regression model that includes all of the independent variables. b. Calculate the variance. c. Calculate the standard error of each parameter's estimate. In your opinion, how precise are the regression coefficients estimated?

MATLAB: An Introduction with Applications
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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x1 x2 x3 x4 x5 x6 bond width on bond pull strength loop height wire post height observation die height width on length the die the post 8.0 5.2 17.0 28.6 83.0 1.9 1.6 2. 8.0 5.2 19.6 29.6 94.9 2.1 2,3 3 8.3 5.8 19.8 32.4 89.7 2.1 1.8 4. 8.5 6.4 19.6 31.0 96.2 2.0 2.0 8.8 5.8 19.4 32.4 95.6 2.2 2.1 6 9.0 5.2 18.6 28.6 86.5 2.0 1.8 7 9.3 5.6 18.8 30.6 84.5 2.1 2.1 9.3 6.0 20.4 32.4 88.8 2.2 1.9 9.5 5.2 19.0 32.6 85.7 2.1 1.9 10 9.8 5.8 20.8 32.2 93.6 2.3 2.1 11 10.0 6.4 19.9 31.8 86.0 2.1 1.8 12 10.3 б.0 18.0 32.6 87.1 2.0 1.6 13 10.5 6.2 20.6 33.4 93.1 2.1 2.1 14 10.8 6.2 20.2 31.8 83.4 2.2 2.1 15 11.0 6.2 20.2 32.4 94.5 2.1 1.9 16 11.3 5.6 19.2 31.4 83.4 1.9 1.8 17 11.5 6.0 17.0 33.2 85.2 2.1 2.1 18 11.8 5.8 19.8 35.4 84.1 2.0 1.8 19 12.0 6.5 19.4 32.2 88.5 2.1 1.9 20 12.3 5.6 18.8 34.0 86.9 2.1 1.8 21 12.5 18.6 18.6 34.2 83.0 1.9 2.0 22 12.5 18.6 20.8 35.4 96.2 2.3 2.3 From the sample data above, complete the following steps.
Transcribed Image Text:x1 x2 x3 x4 x5 x6 bond width on bond pull strength loop height wire post height observation die height width on length the die the post 8.0 5.2 17.0 28.6 83.0 1.9 1.6 2. 8.0 5.2 19.6 29.6 94.9 2.1 2,3 3 8.3 5.8 19.8 32.4 89.7 2.1 1.8 4. 8.5 6.4 19.6 31.0 96.2 2.0 2.0 8.8 5.8 19.4 32.4 95.6 2.2 2.1 6 9.0 5.2 18.6 28.6 86.5 2.0 1.8 7 9.3 5.6 18.8 30.6 84.5 2.1 2.1 9.3 6.0 20.4 32.4 88.8 2.2 1.9 9.5 5.2 19.0 32.6 85.7 2.1 1.9 10 9.8 5.8 20.8 32.2 93.6 2.3 2.1 11 10.0 6.4 19.9 31.8 86.0 2.1 1.8 12 10.3 б.0 18.0 32.6 87.1 2.0 1.6 13 10.5 6.2 20.6 33.4 93.1 2.1 2.1 14 10.8 6.2 20.2 31.8 83.4 2.2 2.1 15 11.0 6.2 20.2 32.4 94.5 2.1 1.9 16 11.3 5.6 19.2 31.4 83.4 1.9 1.8 17 11.5 6.0 17.0 33.2 85.2 2.1 2.1 18 11.8 5.8 19.8 35.4 84.1 2.0 1.8 19 12.0 6.5 19.4 32.2 88.5 2.1 1.9 20 12.3 5.6 18.8 34.0 86.9 2.1 1.8 21 12.5 18.6 18.6 34.2 83.0 1.9 2.0 22 12.5 18.6 20.8 35.4 96.2 2.3 2.3 From the sample data above, complete the following steps.
TAKE NOTE: You must use R-studio and JASP. a. Create a regression model that includes all of the independent variables. b. Calculate the variance. c. Calculate the standard error of each parameter's estimate. In your opinion, how precise are the regression coefficients estimated? d. At a 5% significance level, test the regression's significance. Calculate the P-value of this test. What conclusions are you possible to attain? e. For each regression coefficient, compute the t-test statistic. What conclusions can you draw at a 5% significance level? Do all of the variables play a factor in the model? f. Calculate the regression coefficients' 95% confidence interval. g. Use stepwise regression with a significance level of 0.25 for the input and 0.05 for the removal. Provide your final model. h. Calculate R2, Cp, s2, and adjusted R2 for all possible regression models. i. Provide your final model. j. Plot studentized residuals and make a comment for the model in (i)
Transcribed Image Text:TAKE NOTE: You must use R-studio and JASP. a. Create a regression model that includes all of the independent variables. b. Calculate the variance. c. Calculate the standard error of each parameter's estimate. In your opinion, how precise are the regression coefficients estimated? d. At a 5% significance level, test the regression's significance. Calculate the P-value of this test. What conclusions are you possible to attain? e. For each regression coefficient, compute the t-test statistic. What conclusions can you draw at a 5% significance level? Do all of the variables play a factor in the model? f. Calculate the regression coefficients' 95% confidence interval. g. Use stepwise regression with a significance level of 0.25 for the input and 0.05 for the removal. Provide your final model. h. Calculate R2, Cp, s2, and adjusted R2 for all possible regression models. i. Provide your final model. j. Plot studentized residuals and make a comment for the model in (i)
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