Breaking Strength a Company Manufactures Polypropylene Rope in Six Different

question 158

Essay

Breaking strength A company manufactures polypropylene rope in six different sizes. To
assess the strength of the ropes they test two samples of each size to see how much force
(in kilograms) the ropes will hold without breaking. The table shows the results of the tests.
We want to create a model for predicting the breaking strength from the diameter of the
rope. $$\begin{array} { | c | c : c | } \hline \begin{array} { c } \text { Diameter } \\( \mathrm { mm } )\end{array} & \begin{array} { c } \text { Strength } \\( \mathrm { kg } )\end{array} \\\hline 4 & 60 & 76 \\\hline 7 & 157 & 153 \\\hline 10 & 254 & 262 \\\hline 12 & 334 & 388 \\\hline 15 & 551 & 529 \\\hline 20 & 938 & 893 \\\hline\end{array}$$
a. Find a model that uses re-expressed data to straighten the scatterplot.
b. The company is thinking of introducing a new 25mm rope. How strong should it be?
(Write a sentence in context based on one of your models.)

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