A statistical program is recommended. Consider the following data for two variables, x and y. xi 4 5 7 8 10 12 12 22 yi 13 14 16 16 17 20 23 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 16 10 17 12 20 12 23 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.) xi yi Leverage Values 4 13 5 14 7 16 8 16 10 17 12 20 12 23 22 19 Do there appear to be any influential observations in these data? Explain. Minitab identifies an observation as having high leverage if hi > 6 n; for these data, 6 n = . Since the leverage for the observation at (xi, yi) =

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A statistical program is recommended.

Consider the following data for two variables, x and y.

x_i	4	5	7	8	10	12	12	22
y_i	13	14	16	16	17	20	23	19

(a)

Compute the standardized residuals for these data. (Round your answers to two decimal places.)

x_i	y_i	Standardized Residuals
4	13
5	14
7	16
8	16
10	17
12	20
12	23
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.)