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The Leaning Tower of Pisa is an architectural wonder. Engineers concerned about the tower's stability have done extensive studies on its increasing tilt. The following

The Leaning Tower of Pisa is an architectural wonder. Engineers concerned about the tower's stability have done extensive studies on its increasing tilt. The following table shows how the lean has changed in excess of 2.9 meters by year since 1975. A regression analysis was run on this data, and the results from Excel are shown below.

a) What would Ho and Ha be to show whether the regression line is useful?

b) What is the result of the significance test tied to the regression line? Use a = 0.05. SOLVE AND INTERPRET CLEARLY AND THOROUGHLY. c) What is the equation of the regression line? (if it in fact exists)

Year 75 76 77 78 79 80 81 82 83 84 85 86 87 Lean 642 644 656 667 673 688 696 698 713 717 725 742 757 Lean 780 760 740 720 700 680 660 640 620 70 Lean Year Line Fit Plot 75 Predicted Lean 80 Year 85 90 ANOVA Regression Residual Total Intercept Year df SS MS 1 15804.48 15804.48 11 192.2857 17.48052 12 15996.77 F 904.1198 P-value Coefficient standard Ern t Stat 61.12088 25.12982 -2.432205 0.033279 9.318681 0.309914 30.06858 6.5E-12 Significance F 0.000000000007 Lower 95% Upper 95% ower 95.0%Ipper 95.0% -116.4312367 5.810522 -116.4312 -5.810522 8.636564768 10.0008 8.636565 10.0008

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