find standard error of estimate and interpret the result The number of initial p
ID: 3362521 • Letter: F
Question
find standard error of estimate and interpret the result
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 47.029x+ 18,892.60. Complete parts a and b. 401 465 686 475 477 389 55 65 182153 D ssues, X Proceeds, y 19,827 27,963 42,911 31,832 65,543 66,981 20,993 12,31030,374 27,645 0.282 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 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 (b) Find the standard error of estimate se and interpret the result. Round to three decimal places as needed.)Explanation / Answer
STANDARD ERROR OF ESTIMATE= SQRT(2219671474/10)= SQRT(221967147.4)= 14898.562
standard error of estimate= 14898.562
INTERPRETATIONS: The standard error of the estimate is a measure of the accuracy of predictions. The regression line is the line that minimizes the sum of squared deviations of prediction (also called the sum of squares error), and the standard error of the estimate is the square root of the average squared deviation. So the standard error of estimate here is 14898.562
x y y' (y-y') (y-y')^2 401 19827 37751.22 -17924.2 321277604.3 465 27963 40761.07 -12798.07 163790672.3 686 42911 51154.48 -8243.477 67954916.77 475 31832 41231.36 -9399.362 88348020.6 477 65543 41325.42 24217.57 586491145.5 389 66981 37186.87 29794.13 887690144 55 20993 21479.19 -486.19 236382.49 65 12310 21949.48 -9639.48 92919605.88 182 30374 27451.87 2922.13 8538831.49 153 27645 26088.03 1556.96 2424150.22 TOTAL 2219671474Related Questions
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