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A statistical program is recommended. Consider the following data for two variables, X and y. (a) Do the data include any outliers? Explain. Q There are no standardized residuals that are less than 2 or greater than +2, so there are no possible outliers. Q There is one standardized residuals that is less than 2 or greater than +2, so there is one possible outlier: C There are two standardized residuals that are less than 2 or greater than +2, so there are two possible outliers. C 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. ) Xi yi Leverage Values 4 13 5 14 7 16 & 16 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, 6 n = Since the leverage for the observation at (x;, y;) = is greater than -, we conclude that this observation is an influential observation.(c) Develop a scatter diagram for these data. 30 25 20 15 10 Does the scatter diagram indicate any influential observations? Explain. O The scatter diagram indicates that there are no inuential observations because no points have a large influence on the estimated regression line. C) The scatter diagram indicates that there is one inuential observation because one point has a large inuence on the estimated regression line. 0 The scatter diagram indicates that there are two influential observations because two points have a large influence on the estimated regression line. y 10 15 20 30 25 20 15 10 '