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1. Identify each of the following variables as either quantitative discrete, quantitative continuous, or qualitative/categorical: A. The weight of a newborn. B. A person's ethnicity. C. The type of trees that grow in Canada. D. A person's favourite cologne/perfume brand. E. The amount of snow last winter in Ottawa. F. The time it takes you to complete this assignment. G. The daily number of COVID-19 vaccines administered in Ontario. H. The number of students who come to an in-person office hour on a certain day. 2. The average CGPA in a large university is 7 and the variance is 0.25. If the distribution of CGPA is left skewed, answer the following questions. A. What percentage of students have a CGPA between 6 and 8? B. What percentage of students have a CGPA between 5.5 and 8.5? 3. The following table contains breaking strengths of 40 garbage bags selected from a 40-hour pilot production run. 21.3 21.7 21.9 22 22.1 22.2 22.3 22.4 22.5 22.5 22.5 22.5 22.6 22.7 22.7 22.8 22.8 22.8 23 23.1 23.1 23.1 23.1 23.2 23.2 23.2 23.3 23.3 23.4 23.4 23.5 23.5 23.6 23.7 23.9 23.9 24.1 24.4 24.5 24.5 A. Draw a stem and left plot for the data. Split stems into two (0-4, 5-9). Comment on the distribution. B. Find the mean and the variance. C. Draw a box plot for the data and comment on the distribution. 4. The following table contains the speed (mph) and the corresponding stopping distance (ft) after brakes are applied for a sample of 8 speeds. Speed (mph) |0 16 32 48 | 64 80 97 113 Distance (ft) 6 |15 29 46 67 91 122 A. Find the correlation coefficient for the data and interpret it. B. Find the regression line (line of best fit)