1. Using the attached worksheet, create a scatter plot and draw the regression line. Please consider red triangular elements for data points, a dashed line for regression, and a frame for the plot by applying the appropriate arguments (30 points) 2. A fish survey is done to see if the proportion of fish types is consistent with previous years. Suppose, the 3 types of fish recorded: parrotfish, grouper, tang are historically in a 3:3:4 proportion and in a survey the following counts are found Type of Fish Parrot fish Grouper Tang observed 53 22 Please do a test of hypothesis to see if this survey of fish has the same proportions as historically. (30 points) 3. It is well known that the more beer you drink, the more your blood alcohol level rises. Suppose we have the following data on student beer consumption Student 10 Beers 2 9 3 BAL 0.10 0.03 0.19 0.12 0.04 0.095 0.07 0.06 0.02 0.05 Make a scatterplot and fit the data with a regression line. Test the hypothesis that another beer raises your BAL by 0.02 percent against the alternative that it is less. (40 points) 4. What is the max and min of F value (F statistics) to accept the null hypothesis for 7 df for numerator, and 12 df for denominator? (alpha = 0.05) (20 points) 5. Please perform step-by-step ANOVA analysis process for below dataset, and discuss the results at each step. Finally answer the question of do all the three drugs has the same impact on patients and if yes, how they are different? (The 3 steps include "graphical comparison", "fitting ANOVA model" and "Why and how the means are different"). (80 points) Drug A 3,5,6,1,2,4,5,7,8,9,0,10 Drug B 6,2,3,2,1,6,8,1,5,5,3,9 Drug C 4,7,3,7,3,8,5,4,6,5,1,8 rug impact factors out of 10)