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Answer the questions below. (a) A flute Instructor examined student progress. She found that playing a longer song does not necessarily mean that a student will have more or fewer wrong notes. What can she conclude? O There is no correlation between song length and number of wrong notes. O There is a correlation between song length and number of wrong notes. There may or may not be causation. Further studies would have to be done to determine this. There Is a correlation between song length and number of wrong notes. There is probably also causation. This is because there is likely an increase in the number of wrong notes with an increase in the song length. (b) An environmental study was conducted. It reported that, for a park, having more visitors indicates having a larger number of trees. What can be determined? O There is no correlation between number of visitors and number of trees. O There is a correlation between number of visitors and number of trees. However, there is no causation. This is because there is an increase in the number of trees with an increase in the number of visitors. There is a correlation between number of visitors and number of trees. There may or may not be causation. Further studies would have to be done to determine this. (c) Data was collected at a tennis court. It showed that being older implies that a player will stay for a shorter length of time. What is likely true? OThere is no correlation between age and length of stay. OThere is a correlation between age and length of stay. There may or may not be causation. Further studies would have to be done to determine this. There Is a correlation between age and length of stay. However, there is no causation. This is because there is a decrease in the length of stay with an increase in age.Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both the number of births x per one thousand people in the population and the female life expectancy y (in years) are given. These data are displayed in the Figure 1 scatter plot, Also given is the product of the birthrate and the female life expectancy for each of the twelve countries. (These products, written in the column labelled "xy", may aid in calculations.) Birthrate, x Female life (number of expectancy, y XV births per 1000 pop.) (in years) 49.5 54.4 2692.8 35.4 65.4 2315.16 31.2 63.6 1984.32 26.0 74.7 1942.2 (In years) Female life expectancy 19.9 72.4 1440.76 49.0 61.3 3003.7 13.0 72.7 945.1 14.2 76.1 1080.62 10 15 20 35 30 3 $ 30 34 40 45 50 59 8 49.1 61.7 3029.47 Birthrate 46.9 59.7 2799.93 (number of births per 1000 pop.) 28.3 73.2 2071.56 Figure 1 40.4 66.6 2690.64 Send data to calculator v Send data to Excel What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least two decimal places. (If necessary, consult a list of formulas.) X