What is the answer to parts B and C ?Please helppp :(( The Leaning Tower of Pisa

Question

What is the answer to parts B and C ?Please helppp :((

The Leaning Tower of Pisa the tower's stability have done extensive studies of its increasing t Measurements of the is an architectural wonder. Engineers concerned about 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. (data455.dat) over time appears to be linear. on Do this paper. Your instructor may ask you to turn in this graph (a) Plot the data. Consider whether or not the trend in lean (b) What is the equation of the least-squares line? (Round your answers to two decimal places.) y -89.90 9.75 x what percent of the variation in lean is explained by this line? Round your answer to one decimal place (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

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: lean
Independent Variable: year
lean = -89.895604 + 9.7527473 year
Sample size: 13
R (correlation coefficient) = 0.99787531
R-sq = 0.99575513
Estimate of error standard deviation: 2.5901334

Parameter estimates:

Analysis of variance table for regression model:

Hence,

b) Percent of variation in lean that is explained by the line

= 99.6 %

c) 99% confidence interval:

(9.16, 10.35)

Parameter Estimate Std. Err. DF 99% L. Limit 99% U. Limit Intercept -89.895604 15.568054 11 -138.24697 -41.544242 Slope 9.7527473 0.19199346 11 9.1564527 10.349042

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