A local ice cream shop kept track of the number of cans of cold soda it sold each day, and the temperature that day, for two months during the summer. The data are displayed in the scatterplot below: 195 190 185 180 175 170 Number of Cans Sold 165 O 65 75 85 95 Temperature in degrees Fahrenheit (F) The one outlier corresponds to a day which was a holiday and the shop had an unusually high volume of customers. Which of the following is true? 0 If the temperature were measured in degrees Celsius (C = 5/9 * (F - 32)), the value of r would change accordingly. A reasonable value of the correlation coefficient r for these data is 1.3. If the outlier were removed, r would get closer to -i. Ifthe outlier were removed, r would get closer to 1. 0000 Ifthe outlier were removed, r would get closer to O. A correlation of r = .87 is found between sunscreen sales and number of drownings over a 1-year period. Here is the scatterplot: Which ofthe following statements are true? (select all) 0 Sunscreen must be the cause of drowning. C] Time of the year is a possible lurking variable that is "behind" this relationship. C] There is a strong positive linear relationship between sunscreen sales and drowning. C] None of these statements are true. High blood pressure is unhealthy. Here are the results of one of the studies that link high blood pressure to death from cardiovascular disease. The researchers classified a group of white males aged 35 to 64 as having Low blood pressure or High, then followed the subjects for five years. The following two-way table gives the results of the study: Blood Pressure Low High Total Cardiovascular Death? Yes 21 55 76 No 2655 3283 5938 Total 2676 3338 6014 In this example, it would be appropriate to calculate: conditional row percentages conditional column percentages the correlation coefficient r the five-number summary of both variables OOOOO none of the above What can we say about the relationship between the correlation r and the slope b of the least-squares line for the same set of data? both r and b always have values between -1 and 1 b is always larger than r r is always larger than b the slope b is always equal to the square of the correlation r OOOOO r and b are both positive or both negative A study was done on the batting averages for two baseball players: Hitmore and Bunter. Data were collected over a period oftime for baseball parks that are natural and artificial turf. It was found that Hitmore does better overall (i.e., has a better batting average). However, for both natural and artificial turf separately, Bunter does better. Which of the following is correct? This is an example of a negative association between variables. This is an example of Simpson's Paradox. "Turf" is a lurking variable in this example. Both (B) and (C) are correct. 00000 This situation is mathematically impossible. A researcher is conducting a study and you are hired to help them analyze their data. Below is the scatterplot: Suppose that the correlation r between two quantitative variables was found to be r = 0.12. Based only on the information given, what would you advise? Q There is a weak linear relationship between the two variables. 0 There is no relationship between the two variables. 0 There is a strong linear relationship between the two variables. 0 There is a strong relationship between the two variables. 0 None of the above