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 = 46.209x + 19,189.36. Complete parts a and b. Issues, x Proceeds, 410 451 692 486 490 391 57 67 175 154 17,824 29,511 43,907 30,176 65,295 67,404 21,571 12,156 32,209 27,705 (a) Find the coefficient of determination and interpret the result. (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? 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. O 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. (b) Find the standard error estimate s, and interpret the result. (Round to three decimal places as needed.) How can the standard error estimate be interpreted? OThe standard error of estimate of the proceeds for a specific number of issues is about s, million dollars. The standard error of estimate of the issues for a specific number of proceeds is about s, million dollars.
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 = 46.209x + 19,189.36. Complete parts a and b. Issues, x Proceeds, 410 451 692 486 490 391 57 67 175 154 17,824 29,511 43,907 30,176 65,295 67,404 21,571 12,156 32,209 27,705 (a) Find the coefficient of determination and interpret the result. (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? 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. O 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. (b) Find the standard error estimate s, and interpret the result. (Round to three decimal places as needed.) How can the standard error estimate be interpreted? OThe standard error of estimate of the proceeds for a specific number of issues is about s, million dollars. The standard error of estimate of the issues for a specific number of proceeds is about s, million dollars.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 5PPS
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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 = 46.209x + 19,189.36. Complete parts a and b
Issues, x
410
451
692
486
490
391
57
67
154
17,824 29,511 43,907 30,176 65,295 67,404 21,571 12,156 32,209 27,705
175
Proceeds,
(a) Find the coefficient of determination and interpret the result.
(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 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.
O 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.
(b) Find the standard error of estimate s, and interpret the result.
(Round to three decimal places as needed.)
How can the standard error of estimate be interpreted?
The standard error of estimate of the proceeds for a specific number of issues is about s, million dollars.
The standard error of estimate of the issues for a specific number of proceeds is about s, million dollars.
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