The chart below displays the residuals versus the dependent variable, X. . Which of the following conclusions can be drawn from this scatter chart? Select one: O a. The residuals have an increasing variance as the dependent variable increases. O b. The residual distribution is consistently scattered about zero. O c. The regression model follows the standard normal probability distribution O d. The model captures the relatict ship between the variables accurately.

Question

05-12-2022
Mathematics

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The chart below displays the residuals versus the dependent variable, X. . Which of the following conclusions can be drawn from this scatter chart? Select one: O a. The residuals have an increasing variance as the dependent variable increases. O b. The residual distribution is consistently scattered about zero. O c. The regression model follows the standard normal probability distribution O d. The model captures the relatict ship between the variables accurately.

Sagot :

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KhiradAfaq KhiradAfaq · Answer 1 · 2022-12-12T00:41:49-05:00

The conclusion the residuals have an increasing variance as the dependent variable increases is correct.

What is scatter chart?

Charts that depict the relationship between two variables are known as scatter charts, also known as scatter plots. They are a very effective type of chart because they enable viewers to see relationships or trends right away that are difficult to see in almost any other form.

In order to observe and visually display the relationship between variables, a scatter plot is a common type of chart. Other names for it include scatter gram, scatter graph, and scatter chart.

The conclusion can be drawn from the scatter chart is,

The residuals have an increasing variance as the dependent variable increases.

There is a violation of the homoskedasticity (homogeneity of variance for residuals) assumption.

The given plot is used to check the assumption for homoskedasticity (homogeneity of variances) of data points.

Hence if the homoskedasticity assumption hold, the spread of data points should be along the line and the line should be approximately horizontal.

From the given plot we can see that spread is centered at the middle not equally distributed along the line which is a violation of the homoskedasticity assumption

Hence, the conclusion the residuals have an increasing variance as the dependent variable increases is correct.

To know more about scatter chart, click on the link

https://brainly.com/question/6592115

#SPJ4

The scatter chart is attached below.

Sagot :

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