QUESTION 6 1 points Save Answer Which of the regression variables are statistically significant, based on an alpha of 0.05, or 5%. (Select all that apply.) O A. Color B. Clarity O c. Cut O D. Carat E. Cannot be determined OR none of the above QUESTION 7 1 points Save Answer Regarding significance, if you rejected the null hypothesis for CUT, what is the probability of being wrong with regards to the population? (Seeing something more extreme.) Enter your result as a decimal number rounded to 4 decimal places, if applicable. (Not as a percentage!) QUESTION 8 1 points Save Answer If you were to refine your model, what would you elminate from the regression input? (Select one) O A. Intercept O B. Carat O C. Color O D. Clarity O E. Cut OF. None of the above. Diamond Buyer's Guide Y=f(x1,x2,x3,x4)=b0+b1*x1+b2*x2+b3*x3+b4*x4 Carat Color Clarity Cut Price 0.3 6 2 2 SUMMARY OUTPUT $511.00 $781.00 0.3 2 5 1 1.5 x1 0.3 1 5 1 $839.00 2 x2 1.5 carat color E VS1 Good 1.8 carats color F VS2 Very Good 0.3 3 2 1 $971.00 0.3 2.7 x1 3 x2 5 x3 2 x4 43248.95926 2 2 1 Regression Statistics Multiple R 0.923187291 R Square 0.852274774 Adjusted R Square 0.822729729 Standard Error 9708.488507 Observations 25 $1,130.00 4 x3 3 x4 44035.80633 0.5 2 7 1 $1,263.00 0.5 1 1 $1,604.00 0.5 2 5 1 $1,844.00 0.5 4 3 1 $2,026.00 0.5 2 3 1 $2,714.00 ANOVA 1 5 4 1 $5,899.00 df F Significance F 28.84662276 4.71312E-08 1 5 3 1 $6,445.00 4 SS MS 10875724760 2.72E+09 1885094982 94254749 12760819742 1.01 4 5 1 Regression Residual Total $6,892.00 20 24 1.01 4 4 1 $7,308.00 1.01 1 1 1 $17,716.00 2 8 7 2 $8,620.00 2 8 5 2 $10,264.00 2 6 6 1 $11,751.00 $16,092.00 Coefficients 7997.001988 16186.75295 -3827.885433 -4247.821399 12135.24379 Standard Error t t Stat 8117.445989 0.985162 3122.033727 5.184682 958.8644921 -3.9921 1208.816552 3.51403 5034.549558 2.410393 2 P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 0.336313303 -8935.693631 24929.69761-8935.693631 24929.69761 4.50206E-05 9674.304719 22699.20119 9674.304719 22699.20119 0.000716635 -5828,041714 -1827.72915 -5828.041714 -1827.729151 0.002183014 -6769.36854 -1726.27426 -6769.36854 -1726.274257 0.025680371 1633.357439 22637.13014 1633.357439 22637.13014 2 Nannamme bo Intercept bi Carat b2 Color b3 Clarity 14 Cut 7 2 2 2 2 4 2 $27.080.00 3 8 7 1 $14,305.00 3 7 6 2 $17,905.00 3.01 4 6 2 $29,396.00 3 3 5 2 $42,881.00 $112,079.00 3.01 1 1 3 RESIDUAL OUTPUT RESIDUAL OUTPUT Observation 20 19 23 15 22 5 24 1 10 4 17 3 9 12 8 7 14 16 2 11 21 13 18 6 25 Predicted Price 39993.93902 27250.47482 40191.14584 28405. 15943 28545.62201 8836.858003 48104.98514 5660.560064 7826.387195 5008.97257 12778.80502 -78.7207604 170.6163299 4436.107374 -669.2556022 -1089.191568 4178.038938 4283.162227 -3906.606193 188.2859756 8334.67139 -69.7824609 4051.5107 -9164.8984 85049.15292 Residuals -12913.93902 -11158.47482 -10795.14584 -10689.15943 -10640.62201 -7706.858003 -5223.985142 -5149.560064 -5112.387195 -4037.97257 -2514.805025 917.7207604 1855.38367 2008.892626 2513.255602 2693.191568 3129.961062 4336.837773 4687.606193 5710.714024 5970.32861 6961.782461 7699.4893 10427.8984 27029.84708 2