Pendulum: A student experimenting with a pendulum counted the number of full swings the pendulum made in 230 seconds for various lengths of string. Her data are shown below. Length (in) (x-axis) Number of Swings (y-axis) 22 20 17 16 14 13 13 12 11 10 a) Explain why a linear model is not appropriate for using the length of a pendulum to predict the number of Swings in 20 seconds. 6.5 9 11.5 14.5 18 21 24 27 30 35.37 b) Re-express the data to straighten the scatterplot.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Pendulum: A student experimenting with a pendulum counted the number
of full swings the pendulum made in 230 seconds for various lengths of
string. Her data are shown below.
Length (in) (x-axis)
Number of Swings (y-axis) 22
a) Explain why a linear model is not appropriate for using the length of a
pendulum to predict the number of Swings in 20 seconds.
6.5 9 11.5 14.5 18 21 24 27 30 35.37
20 17 16 14 13 13 12 11 10
b) Re-express the data to straighten the scatterplot.
c) Create an appropriate model.
d) Estimate the number of swings for a pendulum with a 4-inch string.
e) Estimate the number of swings for a pendulum with a 48-inch string.
f) How many confidences do you place in these predictions? Why?
Please use RStudio to solve. It appears that someone solved this problem using another software. I
was able to follow them until I got to B, then I started to have different number and scatterplot.
Also please show R Code for all sections.
Transcribed Image Text:Pendulum: A student experimenting with a pendulum counted the number of full swings the pendulum made in 230 seconds for various lengths of string. Her data are shown below. Length (in) (x-axis) Number of Swings (y-axis) 22 a) Explain why a linear model is not appropriate for using the length of a pendulum to predict the number of Swings in 20 seconds. 6.5 9 11.5 14.5 18 21 24 27 30 35.37 20 17 16 14 13 13 12 11 10 b) Re-express the data to straighten the scatterplot. c) Create an appropriate model. d) Estimate the number of swings for a pendulum with a 4-inch string. e) Estimate the number of swings for a pendulum with a 48-inch string. f) How many confidences do you place in these predictions? Why? Please use RStudio to solve. It appears that someone solved this problem using another software. I was able to follow them until I got to B, then I started to have different number and scatterplot. Also please show R Code for all sections.
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