Breaking Strength a Company Manufactures Polypropylene Rope in Six

question 14

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.

$\begin{array}{|c|c|c|}\hline \begin{array}{c}\text { Diameter } \\(\mathrm{mm})\end{array} & \begin{array}{c}\text { Strength } \\(\mathbf{k g})\end{array} \\\hline 4 & 60 \mid 76 \\\hline 7 & 157 \mid 153 \\\hline 10 & 254 \mid 262 \\\hline 12 & 334\mid 388 \\\hline 15 & 551 \mid 529 \\\hline 20 & 938 \mid 893 \\\hline\end{array}$

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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Definitions:

Avarice And Gluttony

Two of the seven deadly sins; avarice refers to an extreme greed for wealth or material gain, while gluttony denotes excessive intake of food or drink.

Alarm Conditions

Scenarios or states within a system that indicate something is wrong or outside of normal operating parameters, often triggering warnings or corrective actions.

Monitored Condition

A specific state or change in state of a system component that is continuously observed to ensure proper operation.

Faults Present

Indicates that there are errors, malfunctions, or abnormalities currently detected within a system or component.