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 y = 0.942x + 31.252. Find the coefficient of determination and interpret the result. Money raised, x 451.8 T 657.4 T726.1 1 789.5 789.5 1787.6 787.6 T 1036. 6 1036. 6 9 56.5 9 56.5 1213.4 1213.4 Money spent, y 4382 675.9 747.5 768.2 726.6 L 1018.2 949.5 1158.5 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 A. 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. O B. 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

Answer 1

Solution given, n=8 Tx Tv T x² ty TX. y 451,8 438.2_204123.24 192019.24 197978.76 657.4 675.9_1492174.76 1456840.811444336:66 726.1 747.5 527221.21 558756-25542729.75 789-5 768.2 6233 10.25 590131-246064.93.9. 787.6 726- 6 620313 -76 527947:56|572270016 | 1036.6 L 1018.2 11079539-501036731-29/1055466:12 1956: 5 9 69.2914892625 901550.25 908 196.75. 1213.4 | 1158-51472339,56 1342122-25/1405728.9 Total 6618.9 6482.9 5868914.59 5606098.84 5733226 SSxx = EX² - 1 (8x)² = 5868914:59 – 4 (Gls:g)? SSxx - 392684.9888 Ssyy = Ey² + ( Eyj² 35606098.84 – Į (6482.92 = 353085.995 SSxy = EXY - 5 (EX) (EY) =5739226 - $ x(6618.9) (6482.9) 55x+ 3369765-9575

Themeforest & Ssxy - Ssxx SSyt Has_369765.8575 - 7399684,9988 *353085.995 pa:0:993 Now, - coefficient of determination is I calculated by squaring the correlation coefficient cody R?:=6002 ___ =(0.993) R = 0.9861 Interpretation :- The coefficient af determinates is the pretion of the variation is 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 actors or to sampling enare scan (Option AŽ c