Consider the following data for two variables, x and y. X₁457 8 10 12 12 22 V₁ 13 14 15 16 17 20 24 18 (a) Compute the standardized residuals for these data. (Round your answers to two decimal places.) x, y, Standardized Residuals 4 13 5 14 7 8 16 10 17 12 20 12 24 16 22 18 Do the data include any outliers? Explain. O There is at least one standardized residual that are less than -2 or greater than +2, so there is a possible outliers. O There are no standardized residuals that are less than -2 or greater than +2, so there are no possible outliers. (b) Compute the leverage values for these data. (Round your answers to two decimal places.) x, y, Leverage Values 413 5 7 8 10 14 22 16 16 17 12 20 12 24 18 [ 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, 음이 n Since the leverage for the observation at (x, y) = 6 ]) is. is greater than, we conclude that this observation is an influential observation.
Consider the following data for two variables, x and y. X₁457 8 10 12 12 22 V₁ 13 14 15 16 17 20 24 18 (a) Compute the standardized residuals for these data. (Round your answers to two decimal places.) x, y, Standardized Residuals 4 13 5 14 7 8 16 10 17 12 20 12 24 16 22 18 Do the data include any outliers? Explain. O There is at least one standardized residual that are less than -2 or greater than +2, so there is a possible outliers. O There are no standardized residuals that are less than -2 or greater than +2, so there are no possible outliers. (b) Compute the leverage values for these data. (Round your answers to two decimal places.) x, y, Leverage Values 413 5 7 8 10 14 22 16 16 17 12 20 12 24 18 [ 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, 음이 n Since the leverage for the observation at (x, y) = 6 ]) is. is greater than, we conclude that this observation is an influential observation.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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Transcribed Image Text:A statistical program is recommended.
Consider the following data for two variables, x and y.
4
5
8
7 16
(a) Compute the standardized residuals for these data. (Round your answers to two decimal places.)
X; Y₁ Standardized Residuals
10 17
X;
12 20
X;
12 24
4
22 18
5
Y; 13 14 16 16
13
7
14
8
10
16
12
22
Do the data include any outliers? Explain.
O There is at least one standardized residual that are less than -2 or greater than +2, so there is a possible outliers.
O There are no standardized residuals that are less than -2 or greater than +2, so there are no possible outliers.
(b) Compute the leverage values for these data. (Round your answers to two decimal places.)
13
Y; Leverage Values
14
16
4
16
12 20
7
17
24
17
18
12
12 22
20 24 18
Do there appear to be any influential observations in these data? Explain.
6
Minitab identifies an observation as having high leverage if h; > —; for these data,
n
=
Since the leverage for the observation at (x, y) =
is greater than
6
we conclude that this observation is an influential observation.
n
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