21 of 23 (14 complete) This Test: 250 pts possible The money raised a d spent (b

Question

21 of 23 (14 complete) This Test: 250 pts possible The money raised a d spent (bothinm determination and interpret the resul ons od dolars) by all congressional campaigsfor 8recent 2 year periods ?.shown in the table The equaion of the regression he is. y-os3x+1578aFinne ootintof 452 8 435 ? 6728 681 5 94 1 2597791 742 1039 2 1016 5 967 6 933 5 742 4 Find the coefficient of determination and imerpeet the resut (Round to three decimal places as needed How can the coefficient of determination be interpreted? ?A. The coe cient ot deten i aton isth?fraction ofthe variationinmery spettat can be o plained by the va ason money raised The remaining hadon of the wariasonisunepla ed and is dao so aner nous arto samping eor The coeficient o detem nation is me fraction oren variation in money spent ? atis unexplained and is dae to other tacto s or saying emor These nahingfradnono variation i, e 3. ared by the mini in more,

Explanation / Answer

From Excel

The regression equation is

y hat=15.79+0.95(x)

The coefficient of determination r2 is0.9967

ii) 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 factor or to sampling error  

SUMMARY OUTPUT Regression Statistics Multiple R 0.998374 R Square 0.996751 Adjusted R Square 0.99621 Standard Error 13.92438 Observations 8 ANOVA df SS MS F Significance F Regression 1 356947.6 356947.6 1840.995 1.07E-08 Residual 6 1163.33 193.8884 Total 7 358110.9 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 15.78757 19.15759 0.82409 0.441409 -31.0894 62.66451 -31.0894 62.66451 x 0.953303 0.022218 42.90682 1.07E-08 0.898938 1.007668 0.898938 1.007668

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