A statistical program is recommended.Consider the following data for two variables, x and y.xi457810121222yi1214161517202419(a)Compute the standardized residuals for these data. (Round your answers to two decimal places.)xiyiStandardized Residuals412 514 716 815 1017 1220 1224 2219 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.)xiyiLeverage Values412 514 716 815 1017 1220 1224 2219 Do there appear to be any influential observations in these data? Explain.Minitab identifies an observation as having high leverage if hi 6n; for these data, 6n = . Since the leverage for the observation at (xi, yi) = is greater than 6n, we conclude that this observation is an influential observation.(c)Develop a scatter diagram for these data.A scatter diagram has 8 points plotted on it. The horizontal axis 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 from left to right in a downward, diagonal direction starting from the upper left corner of the diagram. The points are between 4 to 22 on the horizontal axis and between 12 to 24 on the vertical axis. Most of the points are plotted fairly close together, although there is a large gap between the 2 points at x = 12 and the point at x = 22. The maximum y-value is located at x = 5. A scatter diagram has 8 points plotted on it. The horizontal axis 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 from left to right in a downward, diagonal direction starting from the upper left corner of the diagram. The points are between 4 to 22 on the horizontal axis and between 12 to 24 on the vertical axis. Most of the points are plotted fairly close together, although there is a large gap between the 2 points at x = 12 and the point at x = 22. The maximum y-value is located at x = 4. A scatter diagram has 8 points plotted on it. The horizontal axis 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 from left to right in an upward, diagonal direction starting from the lower left corner of the diagram. The points are between 4 to 22 on the horizontal axis and between 12 to 24 on the vertical axis. Most of the points are plotted fairly close together, although there is a large gap between the 2 points at x = 12 and the point at x = 22. The maximum y-value is located at x = 22. A scatter diagram has 8 points plotted on it. The horizontal axis 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 from left to right in an upward, diagonal direction starting from the lower left corner of the diagram. The points are between 4 to 22 on the horizontal axis and between 12 to 24 on the vertical axis. Most of the points are plotted fairly close together, although there is a large gap between the 2 points at x = 12 and the point at x = 22. The maximum y-value is located at x = 12.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 is one influential observation because one point has a large influence on the estimated regression line. 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.

Question

A statistical program is recommended.Consider the following data for two variables, x and y.xi457810121222yi1214161517202419(a)Compute the standardized residuals for these data. (Round your answers to two decimal places.)xiyiStandardized Residuals412 514 716 815 1017 1220 1224 2219 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.)xiyiLeverage Values412 514 716 815 1017 1220 1224 2219 Do there appear to be any influential observations in these data? Explain.Minitab identifies an observation as having high leverage if hi > 6n; for these data, 6n =  . Since the leverage for the observation at (xi, yi) =         is greater than 6n, we conclude that this observation is an influential observation.(c)Develop a scatter diagram for these data.A scatter diagram has 8 points plotted on it. The horizontal axis 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 from left to right in a downward, diagonal direction starting from the upper left corner of the diagram. The points are between 4 to 22 on the horizontal axis and between 12 to 24 on the vertical axis. Most of the points are plotted fairly close together, although there is a large gap between the 2 points at x = 12 and the point at x = 22. The maximum y-value is located at x = 5. A scatter diagram has 8 points plotted on it. The horizontal axis 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 from left to right in a downward, diagonal direction starting from the upper left corner of the diagram. The points are between 4 to 22 on the horizontal axis and between 12 to 24 on the vertical axis. Most of the points are plotted fairly close together, although there is a large gap between the 2 points at x = 12 and the point at x = 22. The maximum y-value is located at x = 4. A scatter diagram has 8 points plotted on it. The horizontal axis 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 from left to right in an upward, diagonal direction starting from the lower left corner of the diagram. The points are between 4 to 22 on the horizontal axis and between 12 to 24 on the vertical axis. Most of the points are plotted fairly close together, although there is a large gap between the 2 points at x = 12 and the point at x = 22. The maximum y-value is located at x = 22. A scatter diagram has 8 points plotted on it. The horizontal axis 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 from left to right in an upward, diagonal direction starting from the lower left corner of the diagram. The points are between 4 to 22 on the horizontal axis and between 12 to 24 on the vertical axis. Most of the points are plotted fairly close together, although there is a large gap between the 2 points at x = 12 and the point at x = 22. The maximum y-value is located at x = 12.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 is one influential observation because one point has a large influence on the estimated regression line.     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.

Accepted Answer

Given information:-

X
Y

4
12

5
14

7
16

8
15

10
17

12
20

12
24

22
19

As per…

x_i	4	5	7	8	10	12	12	22
y_i	12	14	16	15	17	20	24	19

x_i	y_i	Standardized Residuals
4	12
5	14
7	16
8	15
10	17
12	20
12	24
22	19

x_i	y_i	Leverage Values
4	12
5	14
7	16
8	15
10	17
12	20
12	24
22	19