1. Using R program analyzes the relationship between Sugar and Eyes in the data set of Ex2Test.csv. Please answer the following questions and show all R codes and explain your conclusion. The screenshot is not acceptable (40 points).

1. Is the relationship between Sugar and Eyes simple linear or polynomial? (5 points) and why? (5 points)
2. Plot data with best fit line (5 points)
3. Plot of best fit line with confidence interval (5 points)
4. Plots of residuals (5 points)
5. What is the best model for the analysis and show the criteria that you have considered the model as a best one (10 points)
6. For the best model, produce p-value and R-squared value (5 points)

2. Drs. Kassem and Yuan measured the yellowness of the odd feather on each of 16 birds and compared it with the yellowness of one typical feather from the same bird population (see data – Ex2Feather.csv.). There are two nominal variables, type of feather (typical or odd) and the individual bird, and one measurement variable, yellowness. Because these birds were from a hybrid zone between red-shafted flickers and yellow-shafted flickers, there was a lot of variation among birds in color, please make an appropriate approach to answer the following questions. No screen print please (30 points).

1. What is the appropriate statistic test that you have used to conduct the analysis? (5 points).
2. Create histograms for the traits with normal curve (5 points).
3. Create a bar plot of the differences between odd and typical feathers (5 points).
4. What is p-value for the test, and the simple difference in the means for the two groups and show 95% confidence interval? (10 points).
5. Present all r codes that you have used in the analysis (5 points).

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