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.)

Comprehend the mechanisms and effectiveness of treatments for alcoholism, including medication and support groups.

Recognize the role of genetic predispositions in the risk for alcoholism and how they interact with environmental factors.

Understand the psychological and social factors that contribute to the persistence of addictive behaviors.

Become familiar with characteristics and behaviors that increase the likelihood of developing alcoholism.

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Definitions:

Ideal Self

The way you would like to be or plan to become.

Instrumental Values

Values that act as means to an end, guiding behavior towards achieving certain goals or desirable states.

Terminal Values

Core life goals or end states of existence that an individual strives to achieve, such as happiness, personal fulfillment, and peace.

Values Conflict

A situation where two or more values that one holds are in opposition, leading to an ethical dilemma or discomfort.