The following data are pairs of the number of business bankruptcies (1000s) and the number of firm births (10,000s) for a six-year period. Solve for the standard error of the estimate (by using the predicted values of y and the residuals) and comment on it. Business Firm Births Predicted ( Residuals ( Bankruptcies (1,000) y y - ŷ ) (10,000) x 58.1 34.4 37.5261 -3.1261 55.5 35.0 35.1438 -0.1438 57.0 38.5 36.5182 1.9818 58.5 40.1 37.8926 2.2074 57.4 35.5 36.8847 -1.3847 58.0 37.9 37.4345 0.4655 *(Round your answer to 4 decimal places, e.g. 1.7585.) **(Round your answer to the nearest integer, e.g. 75.) ***(Round your answer to 1 decimal place, e.g. 1.7.) Se = This standard error of the estimate indicates that the regression model is about **% of the time. In this particular problen v or ***% of the residuals are within this standard error of the estimate. 2/6 5/6
The following data are pairs of the number of business bankruptcies (1000s) and the number of firm births (10,000s) for a six-year period. Solve for the standard error of the estimate (by using the predicted values of y and the residuals) and comment on it. Business Firm Births Predicted ( Residuals ( Bankruptcies (1,000) y y - ŷ ) (10,000) x 58.1 34.4 37.5261 -3.1261 55.5 35.0 35.1438 -0.1438 57.0 38.5 36.5182 1.9818 58.5 40.1 37.8926 2.2074 57.4 35.5 36.8847 -1.3847 58.0 37.9 37.4345 0.4655 *(Round your answer to 4 decimal places, e.g. 1.7585.) **(Round your answer to the nearest integer, e.g. 75.) ***(Round your answer to 1 decimal place, e.g. 1.7.) Se = This standard error of the estimate indicates that the regression model is about **% of the time. In this particular problen v or ***% of the residuals are within this standard error of the estimate. 2/6 5/6
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Transcribed Image Text:The following data are pairs of the number of business bankruptcies (1000s) and the number of firm births (10,000s) for a six-year
period. Solve for the standard error of the estimate (by using the predicted values of y and the residuals) and comment on it.
Business
Firm Births
Predicted (
Residuals (
Bankruptcies
(1,000) y
у — )
(10,000) x
58.1
34.4
37.5261
-3.1261
55.5
35.0
35.1438
-0.1438
57.0
38.5
36.5182
1.9818
58.5
40.1
37.8926
2.2074
57.4
35.5
36.8847
-1.3847
58.0
37.9
37.4345
0.4655
*(Round your answer to 4 decimal places, e.g. 1.7585.)
**(Round your answer to the nearest integer, e.g. 75.)
***(Round your answer to 1 decimal place, e.g. 1.7.)
Se =
This standard error
the estimate indicates that the regression model is about
**% of the time. In this
particular problen v
or
***% of the residuals are within this standard error of the estimate.
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