An experiment is run for investigating the impact of three different chemical components (u,v,w) on the...

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An experiment is run for investigating the impact of three different chemical components (u,v,w) on the stickiness of glue, resulting in the experimental data shown below in Table Q4. Four experimental units were processed simultaneously on each run of the design, and the responses are the mean of stickiness (ỹ), computed across the four units. u 1.37 -0.56 0.36 0.63 0.40 -0.11 11.76 V 2.81 7.04 2.87 5.61 7.57 0.22 1.51 W -3.13 -2.36 -3.28 -5.66 -5.44 -1.68 2.44 Table Q4 y 7.31 18.61 12.15 18.73 17.16 1.11 6.47 (d) Researchers redo the experiments to generate more data points and fit a model to the variance response. The residual by predicted plot are shown below in Figure 4(d). Analyse the residuals based on the linear model assumption and give the conclusion, and suggestion. Normal % probability 8 8882 388 2 96 90 80 50 20 10 du Normal plot of residuals -0.810429 -0.291776 Residual 0.226878 1 0.745632 Residuals 0.745632 0226878 -0.291776- Figure (4(d) -0.810429- -1.32908 D 5.95 B Residuals vs. Predicted 8.04 ☐☐ 10.14 Predicted 12.23 (8 marks) O An experiment is run for investigating the impact of three different chemical components (u,v,w) on the stickiness of glue, resulting in the experimental data shown below in Table Q4. Four experimental units were processed simultaneously on each run of the design, and the responses are the mean of stickiness (ỹ), computed across the four units. u 1.37 -0.56 0.36 0.63 0.40 -0.11 11.76 V 2.81 7.04 2.87 5.61 7.57 0.22 1.51 W -3.13 -2.36 -3.28 -5.66 -5.44 -1.68 2.44 Table Q4 y 7.31 18.61 12.15 18.73 17.16 1.11 6.47 (d) Researchers redo the experiments to generate more data points and fit a model to the variance response. The residual by predicted plot are shown below in Figure 4(d). Analyse the residuals based on the linear model assumption and give the conclusion, and suggestion. Normal % probability 8 8882 388 2 96 90 80 50 20 10 du Normal plot of residuals -0.810429 -0.291776 Residual 0.226878 1 0.745632 Residuals 0.745632 0226878 -0.291776- Figure (4(d) -0.810429- -1.32908 D 5.95 B Residuals vs. Predicted 8.04 ☐☐ 10.14 Predicted 12.23 (8 marks) O

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In linear regression analysis we make several key assumptions Linearity The relationship between the predictors and the response is linear Independenc... View the full answer