time The Leaning Tower of Pisa is an architectural wonder. Engineers concerned a
ID: 3359179 • Letter: T
Question
time The Leaning Tower of Pisa is an architectural wonder. Engineers concerned about the tower's stability have done extensive studies of its increasing tilt. Measurements of the lean of the tower over time provide much useful information. The following table gives measurements for the years 1975 to 1987. The variable "lean" represents the difference between where a point on the tower would be if the tower were straight and where it actually is. The data are coded as tenths of a millimeter in excess of 2.9 meters, so that the 1975 lean, which was 2.9642 meters, appears in the table as 642. Only the last two digits of the year were entered into the computer. (data372.dat) (deta372.dac) where it actua (a) Plot the data, Consider whether or not the trend in lean over time appears to be linear. (Do this on paper. Your instructor may ask you to turn in this graph.) (b) what is the equation of the least-squares line? (Round your answers to two decimal places.) What parcant of tha variation in lean is axplainad by this lina? (Round your answar to one dacimal placa.) (c) Give a 99% confidence interval for the average rate of change (tenths of a millimeter per year) of the lean. (Round your answers to two decimal places.)Explanation / Answer
a]
Yes there is trend present in lean, as time pass the lean is increases
b]
MTB > Regress 'lean' 1 'year';
SUBC> Constant;
SUBC> Brief 1.
Regression Analysis: lean versus year
The regression equation is lean = - 106 + 9.95 year
Predictor Coef SE Coef T P
Constant -105.63 14.31 -7.38 0.000
year 9.9451 0.1765 56.34 0.000
S = 2.38125 R-Sq = 99.7% R-Sq(adj) = 99.6%
Analysis of Variance
Source DF SS MS F P
Regression 1 18001 18001 3174.52 0.000
Residual Error 11 62 6
Total 12 18063
y = - 106 + 9.95 x
Percentage of Variation in lean explained by this line is 99.70%
c]
99% Confidence interval for the average rate of change is: (765.19, 773.89)
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