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NAHQ Certified Professional in Healthcare Quality Examination Sample Questions (Q334-Q339):
NEW QUESTION # 334
An organization has compiled the scatter plots below:
Based on these plots, which of the following conclusions can be made by the quality professional?
- A. Complication rates are not causing longer time to positive outcome at setting 2.
- B. Complication rates are causing longer time to positive outcome at settling 1.
- C. Setting 2 has a significant correlation between complication rate and time to positive outcome.
- D. Setting 1 has a strong positive correlation between complication rate and time to positive outcome.
Answer: D
Explanation:
A scatter plot is a graphical tool that shows the relationship between two continuous variables by plotting data points at their corresponding values on the x-axis and y-axis1.
To interpret a scatter plot, we need to look at the direction, strength, and shape of the relationship between the variables2.
The direction of the relationship indicates whether the variables tend to increase or decrease together (positive correlation) or in opposite directions (negative correlation).
The strength of the relationship indicates how closely the data points cluster around a line or curve that best fits the data. A common measure of the strength of the linear relationship is the correlation coefficient , which ranges from -1 to 1. The closer the absolute value of R is to 1, the stronger the linear relationship2.
The shape of the relationship indicates whether the data points follow a straight line (linear relationship) or a curved pattern (nonlinear relationship).
Based on these criteria, we can analyze the scatter plots for Setting 1 and Setting 2 as follows: Setting 1:
The scatter plot shows a clear upward trend, indicating a positive correlation between complication rate and time to positive outcome. The data points are tightly clustered around a line, indicating a strong linear relationship. The R
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