A statistical program is recommended. Consider the following data for two variables, x and y. *1 4 5 7 8 10 12 12 22 13 14 16 15 19 20 25 19 (a) Compute the standardized residuals for these data. (Round your answers to two decimal places.) Xi yi Standardized Residuals 4 13 5 14 7 16 8 15 10 19 12 20 12 25 22 19 Do the data include any outliers? Explain. There are no standardized residuals that are less than -2 or greater than +2, so there are no possible outliers. There is one standardized residuals that is less than -2 or greater than +2, so there is one possible outlier. There are two standardized residuals that are less than -2 or greater than +2, so there are two possible outliers. There are more than two standardized residuals that are less than -2 or greater than +2, so there are more than two possible outliers. (b) Compute the leverage values for these data. (Round your answers to two decimal places.) yil Leverage Values 4 13 14 7 16 8 15 10 19 12 20 12 25 22 19 Do there appear to be any influential observations in these data? Explain. Minitab identifies an observation as having high leverage if h, > ; for these data, - Since the leverage for the observation at (x,> >)) = ( is greater than ", we conclude that this observation is an influential observation. (c) Develop a scatter diagram for these data. 30 30 30 25 25 25 20 20 20 15 A scatter diagram has 8 points plotted on it. The horizontal 10 10 10 4 ranges from 0 to 25 and is labeled: x. The vertical axis ranges from 0 to 30 and is labeled: y. The points are plotted fry f left to right in an upward, diagonal direction starting from the lower left corner of the diagram. The points are between 4 to 12 on the horizontal axis and between 13 to 25 on the 5 10 15 20 5 10 15 20 25 paints are plotted fairly, clos together, although there is a large gap betwe a large gap between the 2 point?-it x = 12 and the point at x = 22. The maximum y-value is O located at x = 12. 30 25 20 15 10 5 10 15 20 25 O Does the scatter diagram indicate any influential observations? Explain. The scatter diagram indicates that there are no influential observations because no points have a large influence on the estimated regression line. The scatter diagram indicates that there s one influential observation because one point has a large influence on the estimated regression line. O The scatter diagram indicates that there are two influential observations because two points have a large influence on the estimated regression line. The scatter diagram indicates that there are more than two influential observations because more than two points have a large influence on the estimated regression line