Question

The following scatter diagram drawn in Excel shows the relation between median income (in dollars) in a state and birthrate (births per 1000 women 15 to 44 years of age). CAN'T COPY THE FIGURE (a) Does there appear to be any relation between median income and birthrate? (b) One observation sticks out from the rest. Which one? This particular observation is for the state of Utah. Are there any explanations for this result?

Name: Problem 18, Chapter 4: Fundamentals of Statistics
Uploaded: 2021-07-26T18:21:08-08:00
Duration: 56 s
Channel: Trent Speier

   The following scatter diagram drawn in Excel shows the relation between median income (in dollars) in a state and birthrate (births per 1000 women 15 to 44 years of age).
CAN'T COPY THE FIGURE
(a) Does there appear to be any relation between median income and birthrate?
(b) One observation sticks out from the rest. Which one? This particular observation is for the state of Utah. Are there any explanations for this result?

Fundamentals of Statistics

Michael Sullivan III 5th Edition

Chapter 4, Problem 18

Instant Answer

Solved by Expert Trent Speier

07/26/2021

Step 1

From the explanation, it is clear that there doesn't seem to be a clear correlation or relationship between the two variables. The data points appear to be scattered randomly, indicating no specific trend or pattern. Therefore, we can conclude that there is no Show more…

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The following scatter diagram drawn in Excel shows the relation between median income (in dollars) in a state and birthrate (births per 1000 women 15 to 44 years of age). CAN'T COPY THE FIGURE (a) Does there appear to be any relation between median income and birthrate? (b) One observation sticks out from the rest. Which one? This particular observation is for the state of Utah. Are there any explanations for this result?

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Key Concepts

Scatter Plot

A scatter plot is a graphical tool that displays the values of two variables in the form of points on a Cartesian plane. It helps in visually identifying patterns, trends, and possible correlations between the variables, making it easier to understand the overall relationship in the data.

Correlation

Correlation refers to the measure of the relationship between two variables, indicating how one variable changes as the other one changes. In a scatter plot, a pattern or systematic arrangement of points can suggest a positive, negative, or no correlation between the variables.

Outlier Detection

Outlier detection involves identifying data points that fall significantly outside of the overall pattern of the scatter plot. These outliers may represent exceptions or unique cases that could be due to special circumstances or errors, and their presence needs to be considered when analyzing the data.

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