Concept explainers
(a)
To find out that the relationship between these two variables most likely a result of causation, confounding or common response and justify.
(a)
Answer to Problem 4.44E
Common response.
Explanation of Solution
It is a common response because there is a lurking variable that influences the two variable, which is made apparent by the seemingly two groups in the
(b)
To write a brief analysis that demonstrates your understanding of the material in this chapter by following the four step statistical problem solving process.
(b)
Explanation of Solution
Step 1): Plan: we want to investigate the relationship between two variables.
Step2): Collect data: we will investigate the relationship between two variables by constructing a scatterplot. If the scatterplot does not show strong curvature then, we also determine the least square regression line, residual plot,
Step 3): Analyze data: the scatterplot plots the data pairs with the x -variables on the horizontal axis and the y -variables on the vertical axis.
The least square regression line is the line that minimizes the vertical squared distance of the points to the line.
The residual plot is the same as the scatterplot with the y -variable replaced by the residuals. A residual is the difference between the y -value and the predicted y -value.
The correlation can be determined by the formula:
Step 4): Interpret the result: if the scatterplot does not show strong curvature, then it is appropriate to determine the least squares regression line.
Chapter 4 Solutions
Statistics Through Applications
Additional Math Textbook Solutions
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Elementary Statistics: Picturing the World (7th Edition)
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