Consider the following data for two variables, x and y. X ; y ; 12 5 14 16 8 16 18 12 20 12 24 22 20 (a) Compute the studentized residuals for these data. (Round your answers to two decimal places.) X; y ; Studentized Residuals 5 14 16 8 16 10 18 12 20 12 24 22 20 Do the data include any outliers? Explain. There are studentized residuals that are less than -2 or greater than +2, so there are possible large residual outliers or influential observations.(b) Compute the leverage values for these data. (Round your answers to two decimal places.) X; yi Leverage Values 12 14 16 16 10 BT 12 20 12 24 22 20 Do there appear to be any influential observations in these data? Explain. An observation is considered as having high leverage if hi > - For these data, - = Since the leverage for the observation at (x;, y;) = 's greater than -, we conclude that this observation is an influential observation. (c) Develop a scatter diagram for these data. 30 T V 30 y 25 30- 25 20+ 25 20+ 15 + 20 15 10 15 10 5 10 5 5 5 10 15 'X 20 25 0 5 10 X 15 20 25 0 5 10 15 X 20 25307 25 20 15 . . 10 5 5 X 10 15 20 25 O Does the scatter diagram indicate any influential observations? Explain. The scatter diagram indicates that there is influential observation(s) with a large influence on the ---Select-- estimated regression line. | of the estimated regression line, and large residual outlier(s) with a large influence on the ---Select--- v of the