How can the standard error of estimate be interpreted?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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How can the standard error of estimate be interpreted?
The number of initial public offerings of stock issued in a 10-year period and the total proceeds of these offerings (in millions) are shown in the table. The equation of the regression line is y = 43.977x+ 19,528.57. Complete parts a and bi
424
457
695
500
499
379
55
74
180
158
Issues, x
Proceeds,
18,716 29,004 42,559 30,325 67,231 65,155 21,100 12,473 31,455 27,712
(a) Find the coefficient of determination and interpret the result.
0.256
(Round to three decimal places as needed.)
How can the coefficient of determination be interpreted?
The coefficient of determination is the fraction of the variation in proceeds that is unexplained and is due to other factors or sampling error. The remaining fraction of the variation is explained by the variation in issues.
O The coefficient of determination is the fraction of the variation in proceeds that can be explained by the variation in issues. The remaining fraction of the variation is unexplained and is due to other factors or to sampling error.
(b) Find the standard error of estimate s, and interpret the result.
16956.615
(Round to three decimal places as needed.)
How can the standard error of estimate be interpreted?
O The standard error of estimate of the issues for a specific number of proceeds is about s, million dollars.
The standard error of estimate of the proceeds for a specific number of issues is about s, million dollars.
Transcribed Image Text:The number of initial public offerings of stock issued in a 10-year period and the total proceeds of these offerings (in millions) are shown in the table. The equation of the regression line is y = 43.977x+ 19,528.57. Complete parts a and bi 424 457 695 500 499 379 55 74 180 158 Issues, x Proceeds, 18,716 29,004 42,559 30,325 67,231 65,155 21,100 12,473 31,455 27,712 (a) Find the coefficient of determination and interpret the result. 0.256 (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? The coefficient of determination is the fraction of the variation in proceeds that is unexplained and is due to other factors or sampling error. The remaining fraction of the variation is explained by the variation in issues. O The coefficient of determination is the fraction of the variation in proceeds that can be explained by the variation in issues. The remaining fraction of the variation is unexplained and is due to other factors or to sampling error. (b) Find the standard error of estimate s, and interpret the result. 16956.615 (Round to three decimal places as needed.) How can the standard error of estimate be interpreted? O The standard error of estimate of the issues for a specific number of proceeds is about s, million dollars. The standard error of estimate of the proceeds for a specific number of issues is about s, million dollars.
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