1 answer

Prediction The number of initial public offerings of stock issued in a 10-year period and the...

Question:

prediction The number of initial public offerings of stock issued in a 10-year period and the total proceeds of these forings
prediction The number of initial public offerings of stock issued in a 10-year period and the total proceeds of these forings in millions) are shown in the table Construct and interpreta of issuesis 597 The equation of the regression = 31 17 7017 Issues, 418 467 700 479 492 383 65 70 171 153 Proceeds, y 18.534 29290036163106736092 35.29 21 239 11.054 30,973 27.007 Construct and interpreta 95% prediction interval for the proceeds when the number of issues is 597 Select the correct choke below and in the answer boxes to complete your choice Round to the nearest million dollars as needed Type your answer standard form where 3 12 million means 3 120 000 O A. We can be 95% confident that when there are 597 issues, the proceeds will be between 5 and 5 . B. There is a chance that the predicted proceeds given 597 is between and

Answers

X Y X * Y X2 Sxx =Σ (Xi - X̅ )2 Syy = Σ( Yi - Y̅ )2 Sxy = Σ (Xi - X̅ ) * (Yi - Y̅)
418 18584 7768112 174724 31029.8052 6021.7600 100118035 -776458
467 29298 13682166 218089 32570.4670 16027.5600 501406 89645
700 43616 30531200 490000 39896.4710 129312.1600 225783681 5403386
479 31067 14881093 229441 32947.7719 19209.9600 6136024.4100 343326.0600
492 36092 17757264 242064 33356.5189 22982.5600 56281504.4100 1137318.3600
383 35269 13508027 146689 29929.3325 1814.7600 44610376.81 284529.66
65 21239 1380535 4225 19930.7519 75845.1600 54035730.8100 2024437.8600
70 11854 829780 4900 20087.9623 73116.1600 280090348.8100 4525387.3600
177 30973 5482221 31329 23452.2646 26699.5600 5679165.6100 -389398.5400
153 27907 4269771 23409 22697.65471 35118.76 466352.41 127975.46
Total 3404 285899 110090169 1564870 285899 406148.4 773702624.9 12770149.4

X̅ = Σ (Xi / n ) = 3404/10 = 340.4
Y̅ = Σ (Yi / n ) = 285899/10 = 28589.9

Predictive Confidence Interval of My X=597
\hat{Y} = 17887.0169 + 31.4421 X
\hat{Y} = 36658
1 se[yo] ta/2 x 1/[1+ - + n 20-0 SE
ta/2 = t 0.05/2   = 2.306
X̅ = (Xi / n ) = 3404/10 = 340
se[0] =Ý = 36658
36658 +2.306 x Unil (597) - 340),一 10 406148 4 × 46522789


95% Predictive confidence interval is (18985 < My X=597 < 54331)

OA. We can be 95% confident that when there are 597 issues, the proceeds will be between S ands

.

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