stat 101- 4 questions - thank you in advance!
Data on 17 different variables were collected for 75 different candy bars for sale in the United States. The scatterplot of the number of grams of fat and the calories of these 75 candy bars is pictured below. The correlation between the two variables is 0.8071. '50 U 350' 360 Calories 25] O 0 O... I O OI... II 0.. 0 IN- I 0 I U. O O 150' 1m 1 T - v - v r . - 0 5 10 15 2O 25 30 Total fat 9 Choose the best description of the relationship between the two variables. 0 There is a fairly weak positive non-linear relationship between the number of grams of fat and calories for these 75 candy bars. In general, candy bars with a larger number of grams of fat contain a higher number of calories. 0 There is a fairly weak positive linear relationship between the number of grams of fat and calories for these 75 candy bars. In general, candy bars with a larger number of grams of fat contain a higher number of calories but there is a wide range of calories for candy bars with a similar number of grams of fat. 0 There is a fairly strong positive linear relationship between the number of grams of fat and calories for these 75 candy bars. In general, candy bars with a larger number of grams of fat contain a higher number of calories 0 There is a fairly strong negative linear relationship between the number of grams of fat and calories for these 75 candy bars. In general, candy bars with a larger number of grams of fat have a smaller number of calories. Researchers wondered whether the size of a person's brain was related to the individual's mental capacity as measured by an IQ test. Based on a study of 20 individuals, the correlation between mental capacity and brain size was found to be r = 0.548. Which statement correctly describes the relationship between the two variables? 0 There is a moderate negative correlation between the size of the brain and mental capacity. 0 There is a moderate positive correlation between the size of the brain and mental capacity. 0 There is a strong positive correlation between the size of the brain and mental capacity. 0 There is a weak negative correlation between the size of the brain and mental capacity. The average number of yards and the number of touchdowns scored for the leading receivers from the National Football Conference in the National Football League were collected between 1994 and 2004. The correlation coefficient between the two variables from these 11 seasons was r = -0.356. The appropriate way to report this value is: Or = -0.356 touch downs O r = -0.356 average yards per touch down Or = -0.356 (no units) O r = -0.356 average yardsThe October 2005 issue of Consumer Report contains an article on the difference between Environmental Protection Agency mileage ratings and mileage results obtained by Consumer Report in test-track driving. EPA mileage and CR mileage are reported for 10 different vehicle types as miles per gallon. For these 10 vehicles, they computed r = 0.9839. Suppose you have been asked to rescale the data to kilometers per gallon. How will this change affect the correlation? O The correlation will scale the opposite way as the data. 0 There is not enough information to answer this question. 0 The correlation will scale the same way as the data. 0 It will have no effect, r = 0.9839
