Engineers concerned about a 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 2.9647 meters, appears in the table as 647. Only the last two digits of the year were entered into the computer. 78 79 80 81 82 83 84 85 86 75 76 77 647 649 660 672 678 693 701 703 717 722 729 747 (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.) Year Lean (b) What is the equation of the least-squares line? (Round your answers to three decimal places.) y = x + х х What percent of the variation in lean is explained by this line? (Round your answer to one decimal place.) 98.8 ✔% 87 762 (1 (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.) X
Engineers concerned about a 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 2.9647 meters, appears in the table as 647. Only the last two digits of the year were entered into the computer. 78 79 80 81 82 83 84 85 86 75 76 77 647 649 660 672 678 693 701 703 717 722 729 747 (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.) Year Lean (b) What is the equation of the least-squares line? (Round your answers to three decimal places.) y = x + х х What percent of the variation in lean is explained by this line? (Round your answer to one decimal place.) 98.8 ✔% 87 762 (1 (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.) X
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Engineers concerned about a 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 2.9647 meters, appears in the table as 647. Only the last two
digits of the year were entered into the computer.
80
83
86
75 76 77 78
647 649 660 672
79
81 82
84 85
678 693 701 703 717 722 729
747
(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.)
Year
Lean
(b) What is the equation of the least-squares line? (Round your answers to three decimal places.)
y =
X x +
x x
What percent of the variation in lean is explained by this line? (Round your answer to one decimal place.)
98.8
I
%
Submit Answer
87
762
(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.)
(
X.
x )
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