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For the following data 10 15 11 6 18 12 9 8 0.09 0.15 0.20 0.21 0.17 0.13 0.18 0.24 (a) Draw a scatter diagram
For the following data 10 15 11 6 18 12 9 8 0.09 0.15 0.20 0.21 0.17 0.13 0.18 0.24 (a) Draw a scatter diagram and comment on it. (b) Fit the data by using simple linear regression, i.e., y = a + Bx, and answer the following questions. i. What are the assumptions used in the model? ii. Find MLE of B and develop a 90% CI for B. iii. Find R2 and comment on it. iv. Draw a Q-Q plot for the residuals and comment on it. v. Is there any influential point? If there is, then find which one is the influential point. (c) Fit the data by using gamma regression with identity link function, and answer the following questions. i. Predict the value of y when I = 9.5. ii. Report the values of AIC and BIC for this model. iii. Compared with the normal regression constructed in (b), does the current model fit the data set better? Justify your answer? T For the following data 10 15 11 6 18 12 9 8 0.09 0.15 0.20 0.21 0.17 0.13 0.18 0.24 (a) Draw a scatter diagram and comment on it. (b) Fit the data by using simple linear regression, i.e., y = a + Bx, and answer the following questions. i. What are the assumptions used in the model? ii. Find MLE of B and develop a 90% CI for B. iii. Find R2 and comment on it. iv. Draw a Q-Q plot for the residuals and comment on it. v. Is there any influential point? If there is, then find which one is the influential point. (c) Fit the data by using gamma regression with identity link function, and answer the following questions. i. Predict the value of y when I = 9.5. ii. Report the values of AIC and BIC for this model. iii. Compared with the normal regression constructed in (b), does the current model fit the data set better? Justify your answer? T
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