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. Year Lean Year Line Fit Plot 75 642 780 76 644 77 656 760 667 740 78 79 80 81 673 720 688 700 696 680 82 698 660 83 713 640 84 717 85 725 620 70 75 80 85 90 86 742 87 757 • Lean Predicted Lean Year A regression analysis was run on this data, and the results from Excel are shown below. ANOVA Significance F 0.000000000007 SS MS df 1 15804.48 15804.48 904.1198 Regressior Residual Total 11 192.2857 17.48052 12 15996.77 Upper 95% ower 95.0%Jpper 95.0% -116.4312367 -5.810522 -116.4312 -5.810522 10.0008 8.636565 P-value Lower 95% Intercept Year Coefficientstandard Em t Stat -61.12088 25.12982 -2.432205 0.033279 9.318681 0.309914 30.06858 6.5E-12 8.636564768 10.0008 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 INTERPRET CLEARLY AND THOROUGHLY. YOU MUST REFERENCE THE CONTEXT OF THE PROBLEM. c) What is the equation of the regression line? (if it in fact exists) Lean

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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 table shows how the lean has changed
in excess of 2.9 meters by year since 1975.
Year
Lean
Year Line Fit Plot
75
642
780
76
644
760
77
656
78
667
740
79
673
720
80
688
700
81
696
680
82
698
660
83
713
84
717
640
85
725
620
70
75
80
85
90
86
742
87
757
• Lean Predicted Lean
Year
A regression analysis was run on this data, and the results from Excel are shown below.
ANOVA
Significance F
0.000000000007
df
SS
MS
1 15804.48 15804.48 904.1198
Regressior
Residual
11 192.2857 17.48052
12 15996.77
Total
Coefficientstandard Err
Intercept -61.12088 25.12982 -2.432205 0.033279
9.318681 0.309914 30.06858
Upper 95%.ower 95.0%Jpper 95.0%
-116.4312367 -5.810522 -116.4312 -5.810522
10.0008 8.636565
t Stat
P-value
Lower 95%
Year
6.5E-12
8.636564768
10.0008
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. YOU MUST REFERENCE THE CONTEXT OF THE
PROBLEM.
c) What is the equation of the regression line? (if it in fact exists)
Transcribed Image Text: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. Year Lean Year Line Fit Plot 75 642 780 76 644 760 77 656 78 667 740 79 673 720 80 688 700 81 696 680 82 698 660 83 713 84 717 640 85 725 620 70 75 80 85 90 86 742 87 757 • Lean Predicted Lean Year A regression analysis was run on this data, and the results from Excel are shown below. ANOVA Significance F 0.000000000007 df SS MS 1 15804.48 15804.48 904.1198 Regressior Residual 11 192.2857 17.48052 12 15996.77 Total Coefficientstandard Err Intercept -61.12088 25.12982 -2.432205 0.033279 9.318681 0.309914 30.06858 Upper 95%.ower 95.0%Jpper 95.0% -116.4312367 -5.810522 -116.4312 -5.810522 10.0008 8.636565 t Stat P-value Lower 95% Year 6.5E-12 8.636564768 10.0008 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. YOU MUST REFERENCE THE CONTEXT OF THE PROBLEM. c) What is the equation of the regression line? (if it in fact exists)
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