2. The scatterplot below shows the relationship between the number of calories and amount of carbohydrates (in grams) Starbucks food menu items contain. Since Starbucks only lists the number of calories on the display items, we are interested in predicting the amount of carbs a menu item has based on its calorie content. 80- 60 Carbs (grams) 20- 100 200 300 400 500 Calories (Standard CI and C2) (a) What type(s) of data is/are being visualized here (numerical,categorical, or both)? Justify your answer. Additionally, name all variables visualized here and identify them as categorical or numerical (you may have done this to answer the first part of this ques- tions). (Standard P1) (b) List two observations that the graph tells you. (Standard P2) (c) Do you agree or disagree with the choice of data visualization for the graph above. Why or why not? (Standard RI) (d) Sketch the regression line on the graph. Does it appear that the conditions for performing a linear regression is satisfied for this data set? Why or why not? 3. Greece has faced a severe economic crisis since the end of 2009. A Gallup poll surveyed 1200 randomly sampled Greeks in 2011 and found that 20% of them said they would rate their lives poorly enough to be considered "suffering". Before the economic crisis, a similar survery of 1200 people found only 5% would consider themselves "suffering." (Standard E3) Conduct a hypothesis test to see if there was a difference in the proportion of Greeks who consider themselves suffering before and after the economic crisis at an a = .05 significance level. (Standard E4) Calculate a 95% confidence interval for the proportion of Greeks who would rate their lives a "suffering