The tables below represent the profits earned by a merchandiser from four new consignments of t-shirts. Each consignment contained t-shirts of five different sizes. If we were to plot each of the t-shirt sizes and the profit earned on each new size, we would get a different graph for each consignment. Almost all the graphs showed some association between the two variables, except one consignment, which showed no association. Which of the following consignments shows no association?

Question

22-02-2018
Mathematics

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The tables below represent the profits earned by a merchandiser from four new consignments of t-shirts. Each consignment contained t-shirts of five different sizes. If we were to plot each of the t-shirt sizes and the profit earned on each new size, we would get a different graph for each consignment. Almost all the graphs showed some association between the two variables, except one consignment, which showed no association. Which of the following consignments shows no association?

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MsEHolt MsEHolt · Answer 1 · 2018-03-04T02:30:36+01:00

MsEHolt MsEHolt

04-03-2018

The graphs below are for each table. Screenshot 1 goes with Table 1, screenshot 2 goes with Table 2, and so on. As you can see, 3 of the 4 graphs appear to have a correlation. Graph number 2, however, does not appear to have any correlation.

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KarpaT KarpaT · Answer 2 · 2022-06-18T20:10:36+02:00

In graph 2, the dots are scattered and also no association.

What is an association?

An association (relationship) between two numerical variables can be described by its form, direction, strength, and outliers. A scatter plot shows the association between two variables. A scatter plot matrix shows all pairwise scatter plots for many variables.

For the given situation,

There are four new consignments of t-shirts.

Each consignment contained t-shirts of five different sizes.

Graph is plotted as shown below between each of the t-shirt sizes and the profit earned on each new size.

If one variable increases as the other variable increases, there is said to be a positive association.

Two variables have a negative association when the values of one variable tend to decrease as the values of the other variable increase.

No association means that there is no line and all the dots are scattered.

From the graph shown, in graph 2 the dots are scattered. Thus no association.

Hence we can conclude that in graph 2, the dots are scattered and also no association.

Learn more about association here

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