5. Consider n pairs of numbers (X1, Y1), (X2, Yz), ..., and (X,, yn). The mean and standard deviation of the x-values are x =5 and sy = 4, respectively. The mean and standard deviation of the y-values are y = 10 and sy = 10 respectively. Of the following, which could be the least squares regression line? A. y = -5.0 + 3.0x B. V = 3.0x C. y = 5.0 + 2.5x D. y = 8.5 + 0.3x E. y = 10.0 + 0.4x 6. A researcher collected data on the age, in years, and the growth of sea turtles. The following graph is a residual plot of the regression of growth versus age. 0.6- A. Yes, because there is a clear pattern displayed in the 0.4- residual plot. 0.2- B. Yes, because about half the residuals are positive and the Residuals other half are negative. 0.0- C. Yes, because as age increases, the residuals increase. -0.2- D. No, because the points appear to be randomly distributed. -0.4- . No, because the graph displays a U -shaped pattern. -0.6- 3 Age in Years 7. An experiment was conducted to investigate the relationship between the dose of a pain medication and the number of hours of pain relief. Twenty individuals with chronic pain were randomly assigned to one of five doses-0.0, 0.5, 1.0, 1.5, 2.0-in milligrams (mg) of medication. The results are shown in the scatterplot below. 14T 12- 10- Pain Relief (hours) . . . A N 0.0 0.5 1.0 1.5 2.0 Dose (mg) The data were used to fit a least-squares regression line to predict the number of hours of pain relief for a given dose. Which of the following would be revealed by a plot of the residuals of the regression versus the dose? A. The sum of the residuals is less than 0. B. The sum of the residuals is greater than 0. C. There are outliers associated with the lower doses. D. The variation in the hours of pain relief is not the same across the doses. E. There is a positive linear relationship between the residuals and the dose