The money raised and spent (both in millions of dollars) by all congressional ca
ID: 3205878 • Letter: T
Question
The money raised and spent (both in millions of dollars) by all congressional campaigns for 8 recent 2-year periods are shown in the table. The equation of the regression line is ModifyingAbove y with caret equals 0.936x +30.980 . Complete parts a and b.
Money raised, x 462.5 657.4 738.2 779.1 778.8 1037.5 958.7 1224.4
Money spent, y 428.7 684.3 730.6 771.7 741.6 1006.3 944.6 1154.9
(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?
A. The coefficient of determination is the fraction of the variation in money spent that is unexplained and is due to other factors or sampling error. The remaining fraction of the variation is explained by the variation in money raised.
B. The coefficient of determination is the fraction of the variation in money spent that can be explained by the variation in money raised. 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 se and interpret the result. ____ (Round to three decimal places as needed.)
How can the standard error of estimate be interpreted?
A. The standard error of estimate of the money spent for a specific amount of money raised is about se million dollars.
B. The standard error of estimate of the money raised for a specific amount of money spent is about se million dollars.
Explanation / Answer
from above data
hence coefficient of determination R2 =(Sxy)2/(Sx*Sy) =0.9886
option B is correct.
b) from aboive SSE =3995.06
hence standard error of estimate se =(SSE/(n-2))1/2 where n=8
=25.804
option A is correct
s. No x Y (X-Xbar)^2 (Y-Ybar)^2 (X-Xbar)(Y-Ybar) Yi'=b0+x*b1 (Y-Yi')^2 (Ybar-Yi')^2 1 462.5 428.7 134744.0556 143745.244 139171.898 464.0892 1252.3928 118162.92 125 2 657.4 684.3 29644.2306 15261.514 21270.069 646.6038 1421.0055 25996.31 141 3 738.2 730.6 8349.3906 5965.631 7057.577 722.2691 69.4032 7321.94 155 4 779.1 771.7 2547.7256 1305.919 1824.040 760.5701 123.8757 2234.21 160 5 778.8 741.6 2578.1006 4387.406 3363.209 760.2891 349.2832 2260.85 167 6 1037.5 1006.3 43232.8056 39387.364 41265.315 1002.5494 14.0669 37912.73 174 7 958.7 944.6 16673.2656 18703.981 17659.458 928.7569 251.0025 14621.51 183 8 1224.4 1154.9 155886.7806 120452.379 137028.952 1177.5724 514.0376 136703.89 189 total(T) 6636.6000 6462.7000 393656.3550 349209.4388 368640.518 3995.067341 345214.371 5192.12 mean=T/n 829.575 807.84 Sxx Syy Sxy 74.4611Related Questions
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