In 2020, the United States conducted a study of the entire country. The study is completed by mailing questionnaires to the citizens. To ensure the questions are understandable, a random sample of Americans answer the questionnaire before it is sent out. As part of their analysis, they were recorded the amount of time (minutes) and ages (years) of the sample. The data of the two variables are shown below: Age (years) Amount of time (minutes) 78 12 32 23 43 2 42 12 37 20 31 10 64 8 28 20 23 35 61 10 31 38 40 11

(i) State the dependent variable and the independent variable for the above regression model. (ii) Write the least square regression line for the above relationship between the two variables. State the unit of measurement for each variable. (iii) What do the coefficient of the regression line tell you about the relationship between respondent's age and the recorded time completed questionnaire? (iv) Determine the coefficient of correlation and discuss the role of this coefficient value for this model. (v) Predict the amount of time completing the questionnaire if the respondent is 18 years old. Is this estimation reliable? Explain. (vi) State the coefficient of determination and describe what it tells you.